Input: 0.73707235 0.0008277155 0.0011214718 0.0016223538 0.0018507434 0.0024784212 0.00092930946 0.0008938697 0.0009190713 0.0009096207 0.0010828818 0.000648154 0.002107485 0.00079148816 0.0007056452 0.0010584678 0.0009222215 0.00091670867 0.00091355847 0.0010025516 0.00088914443 0.00077731226 0.0009513609 0.0007686492 0.0009994014 0.00082850305 0.00061980216 0.00067571824 0.0007907006 0.000562311 0.00067414314 0.0006237399 0.0008741809 0.00079148816 0.0006268901 0.0016176285 0.0045559793 0.0010521674 0.00063870335 0.0009072581 0.0010222404 0.0023303616 0.002492597 0.0016743322 0.0011450982 0.0009734123 0.0007599861 0.0009253717 0.00096474926 0.00096789945 0.0008544922 0.0009899508 0.0010364163 0.001275044 0.00067886844 0.0007213962 0.0010442919 0.0006859564 0.00064106606 0.0005638861 0.0006938319 0.0005969632 0.00072060863 0.0007749496 0.0013451361 0.0013293851 0.0025138608 0.0009104083 0.0017247354 0.0008655179 0.001359312 0.0018231792 0.0020964593 0.0018767326 0.0012396043 0.0007001323 0.0016420425 0.0028863722 0.001476657 0.0011868385 0.0009623866 0.0010978453 0.0007379347 0.0007796749 0.00084582914 0.00076077366 0.0011254095 0.0007639239 0.00068989414 0.00065996725 0.0006607548 0.001219128 0.0017782889 0.00091513357 0.0008001512 0.00064106606 0.000593813 0.00092615926 0.0015034337 0.0009064705 0.00074266 0.0008450416 0.0013419859 0.0008718183 0.0007985761 0.0011616369 0.00066154235 0.001171875 0.0007316343 0.0015357233 0.0015176096 0.0009765625 0.0009923135 0.0013443485 0.0011183216 0.0014317667 0.0014262538 0.0010151524 0.0007347845 0.0011750252 0.00066941784 0.0009978263 0.00082692795 0.0010324785 0.0007332094 0.0011395854 0.0012490549 0.0019995905 0.0014916204 0.0020657447 0.0009852255 0.000952936 0.00069776963 0.00068516884 0.0011128087 0.00072218373 0.0009159211 0.0012600806 0.00071115803 0.001469569 0.0015932145 0.0010049143 0.00152391 0.0009899508 0.0014939831 0.0006875315 0.0017483619 0.0017743511 0.0007489604 0.0011159589 0.0014420048 0.0011230469 0.00085842994 0.0009718372 0.0006064138 0.00062137726 0.0005646736 0.00078833796 0.0007371472 0.0006284652 0.00080408895 0.0010269657 0.0007056452 0.00097104965 0.0008529171 0.00085370464 0.00097104965 0.0017160723 0.0010293283 0.0008403163 0.0005528604 0.0008844191 0.0008529171 0.000835591 0.0009111958 0.0015459615 0.00091985887 0.001241967 0.0007780998 0.0007284841 0.00095057336 0.00086000504 0.0013057586 0.0014168032 0.0010057018 0.0014254663 0.0010876071 0.0010017641 0.0015947896 0.0007473853 0.0006418536 0.00070091983 0.0006450038 0.00086788053 0.0010127898 0.0018428679 0.000726909 0.00093088456 0.0007670741 0.00091670867 0.0010025516 0.0007324219 0.00059617567 0.0012955205 0.0010301159 0.0012624433 0.00061192666 0.0009907384 0.00093876006 0.00076313637 0.001108871 0.00061035156 0.0010261781 0.00048040575 0.0009253717 0.00062610256 0.001257718 0.00049930695 0.0013790007 0.00050403224 0.00081983994 0.00091985887 0.00052057084 0.0010167275 0.0017712009 0.0006812311 0.0007237588 0.00062137726 0.0007332094 0.0007166709 0.0006828062 0.0012711063 0.00093876006 0.0008741809 0.00064736645 0.0011836883 0.000733997 0.0013971144 0.00052372104 0.0008544922 0.0005654612 0.0008497669 0.0014317667 0.0012970956 0.001772776 0.00072218373 0.0009033203 0.00067256804 0.00071430823 0.0007355721 0.0005292339 0.00075289817 0.00065366685 0.00067099294 0.0007954259 0.00097577495 0.64968127 1.576372e-06 3.152744e-06 7.88186e-07 5.123209e-06 7.88186e-07 3.152744e-06 2.7586511e-06 3.152744e-06 1.576372e-06 1.576372e-06 2.3645582e-06 2.7586511e-06 1.970465e-06 3.94093e-06 1.576372e-06 0.003851077 1.0640511e-05 1.4581442e-05 1.10346045e-05 2.088693e-05 9.852325e-06 1.0640511e-05 1.33991625e-05 1.3793256e-05 1.1428698e-05 7.88186e-06 1.2216884e-05 1.3793256e-05 9.06414e-06 1.3793256e-05 1.1428698e-05 0.0044977837 1.6157814e-05 3.1921536e-05 1.7340093e-05 3.428609e-05 1.7734186e-05 2.2857395e-05 2.6010139e-05 2.5616046e-05 2.9556977e-05 2.088693e-05 2.1281023e-05 1.9310557e-05 2.2463302e-05 2.0098743e-05 1.9310557e-05 0.0021616002 1.1822791e-05 2.7586511e-05 1.4187349e-05 3.1921536e-05 1.2216884e-05 1.9310557e-05 1.7340093e-05 1.8916466e-05 1.9310557e-05 1.6551907e-05 1.576372e-05 1.0640511e-05 1.7734186e-05 1.4975535e-05 1.1428698e-05 0.0067981044 9.891735e-05 8.906502e-05 5.477893e-05 0.0001469967 8.5518186e-05 0.00022857395 0.00017221864 5.477893e-05 4.3744327e-05 5.0049814e-05 5.871986e-05 4.4138418e-05 5.0443905e-05 4.5320696e-05 4.965572e-05 0.0039708815 5.753758e-05 7.211902e-05 4.847344e-05 8.512409e-05 4.7291163e-05 6.0690323e-05 6.7784e-05 5.596121e-05 5.63553e-05 5.9508046e-05 6.5419445e-05 5.5567114e-05 4.9261627e-05 4.847344e-05 4.2167954e-05 0.005449124 8.118316e-05 0.00017852413 0.00010876967 0.00019034692 9.891735e-05 0.00032433856 0.00023369717 8.078907e-05 7.960679e-05 8.315362e-05 7.251312e-05 8.354772e-05 6.975447e-05 6.620763e-05 6.344898e-05 0.009877154 0.00026758917 0.00034680185 0.00046345338 0.0003669006 0.00018364735 0.00030857485 0.0002719242 0.0002494609 0.0001919233 0.00019862287 0.00021241614 0.00021832754 0.00017694777 0.00019113511 0.00019586422 0.0037328491 7.448358e-05 0.00015093763 7.960679e-05 0.0002534018 0.00011231651 0.00027783558 0.00019625832 0.00011074014 0.00010601102 9.655279e-05 0.00010837558 8.867093e-05 9.142958e-05 8.7488654e-05 8.2759536e-05 0.011107512 0.00035704827 0.000627002 0.00038778753 0.0006281843 0.0003783293 0.00056237075 0.00056394713 0.0004287732 0.0004232559 0.00041025082 0.00042207362 0.000372812 0.00034719595 0.00038581705 0.00035389554 0.006355144 0.00026719508 0.00038778753 0.00027231828 0.00059547456 0.00026916552 0.00041379768 0.00038778753 0.000389758 0.00027507692 0.0002770474 0.0003109394 0.00029162882 0.0002766533 0.0002719242 0.00025773683 0.007503137 0.00037162972 0.0006033564 0.0003732061 0.0007168552 0.0004118272 0.00044690148 0.0004961631 0.0004902517 0.00045517745 0.00047133525 0.0004973454 0.00047172935 0.0004003985 0.0004185268 0.0004000044 0.010312232 0.00070503243 0.0011885845 0.00070857926 0.0014159762 0.00076532864 0.000817743 0.00087409833 0.0010443465 0.00079961476 0.00084848225 0.00084532954 0.0008473 0.0007326189 0.0007732105 0.0007274957 0.0052067568 0.00047291163 0.0010597161 0.00049261627 0.0012023778 0.00058404583 0.00059192773 0.0006774459 0.0010281887 0.00057813444 0.0005497598 0.0006407953 0.00062857836 0.00053241965 0.00055724755 0.0005320256 0.007202444 0.0010687803 0.0022183496 0.001135382 0.002165147 0.0012981424 0.0012362698 0.0013911483 0.001936179 0.0012808023 0.0011519339 0.0012768614 0.0013785374 0.0010061194 0.001241393 0.0012610976 0.017226594 0.009051135 0.015394456 0.009051529 0.017120978 0.010167994 0.010949086 0.012491566 0.012264963 0.011570177 0.011120911 0.011854318 0.010712236 0.0096209925 0.010222773 0.010042278 1767.0 6.5953593 11654.0 0.022653166 0.00403295 0.005920714 0.0071220184 0.014844689 0.00437618 0.0037755277 0.00909559 0.005920714 0.027115153 0.018362794 0.0066071735 0.0075510554 0.010296893 0.014587266 0.0096962415 0.00772267 0.008323322 0.010296893 0.0114123905 0.006092329 0.010725931 0.0071220184 0.0080659 0.008494938 0.007293633 0.004805217 0.005577484 0.007636863 0.006263944 0.0058349064 0.0056632916 0.010897546 0.009524627 0.019306676 0.00875236 0.018620215 0.0066071735 0.013814999 0.018877639 0.011669813 0.017418912 0.007894285 0.006692981 0.010640124 0.020250557 0.013385962 0.0066071735 0.008323322 0.016646644 0.005920714 0.007293633 0.007465248 0.006006521 0.006006521 0.007207826 0.0054916767 0.0071220184 0.0063497513 0.0080659 0.00875236 0.0050626392 0.0064355587 0.00403295 0.0044619874 0.013042732 0.008580745 0.013042732 0.012184658 0.022052513 0.011154968 0.008237515 0.0071220184 0.020679595 0.00437618 0.01209885 0.0109833535 0.015187918 0.018963447 0.016217608 0.009524627 0.011927235 0.019478291 0.025484812 0.0241977 0.0114123905 0.005749099 0.0096962415 0.0068645957 0.010382702 0.0054916767 0.009782049 0.006263944 0.0052342545 0.010468509 0.019220868 6.4106216 0.0 0.0 0.0 6.0 1269760.0 1269760.0 1.0 10.0 24.0 1.0 1.0 0.0 0.0 0.0 1521063400.0 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 12.0 255.0 5.0 0.0 4.0 0.0 1789689700.0 4096.0 4096.0 69.0 0.0 0.0 2.0 4.0 8192.0 4096.0 0.0 -4096.0 -4096.0 -4096.0 12288.0 0.0 36864.0 -8192.0 -106496.0 -8192.0 4096.0 204800.0 8192.0 -8192.0 4096.0 0.0 -4096.0 4096.0 24576.0 -319488.0 0.0 8192.0 -4096.0 4096.0 4096.0 -8192.0 -4096.0 0.0 0.0 0.0 -20480.0 -4096.0 0.0 0.0 -4096.0 -4096.0 -4096.0 8192.0 -28672.0 0.0 -24576.0 4096.0 -8192.0 4096.0 -32768.0 0.0 212992.0 -12288.0 0.0 0.0 0.0 0.0 0.0 -2.2091353 0.0 0.0 6.4435935 0.0 -6.47196 0.0 0.0 0.0 3.660389 0.0 0.0 0.0 0.0 0.0 0.0 -1.4519137 0.0 0.0 0.0 0.0 0.0 -6.025873 0.0 0.0 0.0 0.0 -3.9407365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.648562 0.0 3.9907029 0.0 0.0 0.0 0.0 0.0 0.0 2197.0 132.0 0.0 -276.0 -1395.0 -3027.0 2169.0 0.0 33964.0 -6206.0 -98793.0 -5033.0 7279.0 204403.0 11353.0 -2039.0 1395.0 0.0 -1395.0 503.0 26921.0 -321034.0 1707.0 5289.0 -1395.0 503.0 2045.0 -6912.0 -249.0 0.0 0.0 0.0 -10160.0 -318.0 0.0 964.0 -2509.0 -2791.0 -2509.0 1006.0 -28055.0 -3177.0 -27552.0 2168.0 -2304.0 802.0 -29450.0 0.0 205739.0 -7078.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 415.0 1265680.0 200.0 17204.0 1880.0 479232.0 0.0 0.0 1124.0 1345037000.0 740.0 483328.0 56.0 16528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 16384.0 0.0 0.0 0.0 0.0


Input: 0.18451306 0.0077135903 0.0047034086 0.0050973883 0.008539177 0.0047808765 0.004482072 0.0033886675 0.0111708725 0.0034949093 0.0038224878 0.0032115981 0.0080721555 0.0020672865 0.0017042939 0.0062416997 0.0058233733 0.0017596282 0.0016644533 0.0014563967 0.003594511 0.0031252766 0.0016843736 0.0013302346 0.0025166003 0.0015582116 0.0014187694 0.0013988491 0.0022332892 0.0013390881 0.0012040726 0.001423196 0.0052368306 0.0013811421 0.0017020806 0.0012394865 0.0024568392 0.0014497566 0.0011111111 0.0013789288 0.0018592298 0.0011730854 0.0012195662 0.0024457725 0.0016932271 0.0014010625 0.0020385126 0.0012505533 0.0035192564 0.0021624612 0.0020739266 0.0061974325 0.0024236387 0.0021691013 0.00207614 0.002100487 0.0026316955 0.0035081895 0.002310757 0.004685702 0.0028552457 0.0022841964 0.0020119522 0.002058433 0.004459938 0.0038335547 0.0022332892 0.007660469 0.007921646 0.013722886 0.0033532537 0.0018592298 0.0024015051 0.0020362993 0.0014851704 0.0012394865 0.0020075254 0.010305445 0.0019721116 0.001500664 0.007689243 0.004231961 0.0032979194 0.0036299247 0.0025276672 0.006622399 0.004254095 0.003282426 0.001812749 0.003384241 0.0011243913 0.0015582116 0.0019123506 0.0042850818 0.002580788 0.0022399293 0.0018769366 0.0037250996 0.001746348 0.0029681276 0.0041744136 0.00685923 0.003260292 0.0015604249 0.0045551127 0.0037029658 0.0055953963 0.0013833555 0.0035369634 0.002054006 0.0032093846 0.0040925187 0.00333112 0.0011775122 0.0043072156 0.0034794158 0.010004426 0.009871624 0.00250332 0.0017596282 0.0022731298 0.0018503763 0.0012704737 0.0010779105 0.0018348827 0.0036963257 0.0020385126 0.0015869854 0.003001328 0.0022775563 0.0013567951 0.011507304 0.0025608677 0.007815405 0.0012394865 0.0012084993 0.0021425409 0.009426737 0.0016489597 0.027886232 0.0015095174 0.01247012 0.001128818 0.0010292165 0.002065073 0.0015471447 0.0015205843 0.0018570164 0.0017994688 0.0017906153 0.0012881806 0.0010668437 0.0015161576 0.00124834 0.0010092962 0.0010358565 0.001963258 0.0011996458 0.0011354581 0.0014254095 0.00187915 0.0016910137 0.0010756972 0.0015936255 0.001602479 0.0024103585 0.0012350598 0.0012881806 0.0017197875 0.0011398849 0.0010712704 0.0011819389 0.0016533864 0.0011332448 0.001086764 0.0011509517 0.0016046923 0.0012793271 0.0011797255 0.0010225764 0.0016467463 0.0015272244 0.0024347056 0.0015073041 0.0026139885 0.0013722887 0.0012616202 0.0011221779 0.0017065073 0.0014608233 0.0014652502 0.0013169544 0.006279327 0.003078796 0.0033997344 0.0043426296 0.004015051 0.001500664 0.0037981407 0.00478973 0.0028220452 0.0023151836 0.0015781319 0.0013125277 0.010991589 0.00124834 0.0016555998 0.0014696768 0.0029194334 0.0017529881 0.0017928287 0.0014984506 0.002107127 0.0010911908 0.0013634352 0.0013147411 0.0026029216 0.0012461266 0.0013036742 0.0016777335 0.0021890218 0.001392209 0.0012239929 0.0011243913 0.003162904 0.0012948207 0.0013058876 0.001062417 0.002868526 0.0023173972 0.0013899956 0.0011111111 0.01654493 0.0038313414 0.001392209 0.0043625496 0.0066246125 0.0012749004 0.0025276672 0.0013058876 0.0039818506 0.0018481629 0.0019787517 0.0015936255 0.0030942895 0.0012527667 0.0030699424 0.0024878264 0.004785303 0.0016423196 0.0014386897 0.002881806 0.009909252 0.0070495796 0.0032580788 0.057611775 0.04090909 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0037475587 3.218217e-05 2.5523792e-05 0.0002363725 0.000118741125 4.6608664e-05 4.1060015e-05 3.4401633e-05 2.2194603e-05 2.1084872e-05 2.6633523e-05 4.7718397e-05 6.1035156e-05 1.8865412e-05 1.10973015e-05 5.4376775e-05 0.001801092 4.9937855e-05 3.8840553e-05 8.877841e-06 8.433949e-05 3.1072443e-05 3.8840553e-05 3.5511363e-05 1.8865412e-05 7.768111e-06 3.1072443e-05 3.6621095e-05 8.877841e-06 1.7755681e-05 5.5486507e-06 5.7705965e-05 0.0033780185 0.00012318004 0.00013094816 3.9950282e-05 7.9900565e-05 4.1060015e-05 5.4376775e-05 5.1047584e-05 4.6608664e-05 1.2207031e-05 3.9950282e-05 1.6645952e-05 5.1047584e-05 3.4401633e-05 0.00012650923 0.00031960226 0.037768554 0.0004572088 0.0016978871 0.001032049 0.003919567 0.0016102184 0.007945668 0.0037231445 0.00044056284 0.00069247157 0.00016091087 0.00019420277 0.00021195845 0.00022971413 0.00015647194 0.0033957742 0.019521262 0.00025523792 0.0011152788 0.0006525213 0.0024347478 0.00090443005 0.0034778942 0.002001953 0.00026966442 0.00031627307 0.0001842152 0.00019753196 0.00010875355 0.0002652255 0.00041281962 0.0019731002 0.011686568 0.0004350142 0.00084561436 0.00057373045 0.0022383255 0.0012673117 0.0065440787 0.0033647018 0.00052046345 0.0003395774 0.0002286044 0.0005615234 0.00063254614 0.00036732067 0.00024857954 0.0019642224 0.019074041 0.00074684835 0.0014126864 0.0018044212 0.0029430042 0.0011574485 0.0049161045 0.0029996005 0.0011186079 0.0009687944 0.0010187322 0.00091885653 0.000682484 0.00086115056 0.00093883165 0.0038929333 0.01159779 0.0013882724 0.0014215643 0.011962891 0.0021562057 0.0013172496 0.002459162 0.0018865411 0.0014359908 0.0012018377 0.0014315519 0.0012384588 0.0013638583 0.001241788 0.0014171253 0.0019342595 0.012271396 0.001702326 0.0012273615 0.0023981268 0.0047674007 0.0034501508 0.0020308062 0.0016801314 0.0086825285 0.0011585582 0.0014315519 0.0013904918 0.004828436 0.0010342684 0.0042003286 0.0136552295 0.04798806 0.008243076 0.0044588954 0.006008079 0.023033557 0.01759699 0.007446289 0.010190652 0.03746893 0.0037608754 0.0031849255 0.0047429865 0.021659713 0.005769487 0.020160466 0.041923385 0.03980158 0.008731357 0.0052246093 0.00888006 0.014574085 0.015629439 0.007656028 0.014335494 0.02668901 0.003491211 0.003609952 0.003819691 0.013503196 0.005300071 0.013055975 0.027061878 0.013011586 0.011340332 0.011392489 0.011444647 0.01171764 0.011424672 0.011605558 0.011774236 0.01163663 0.011486816 0.011560058 0.01134699 0.011572266 0.011473499 0.011710982 0.011865234 1917.0 11.94001 22889.0 0.026650356 0.0025339683 0.0031456158 0.0014854297 0.0045873565 0.002009699 0.0020970772 0.007558216 0.0046310453 0.0017038753 0.0025339683 0.0024902793 0.0049805585 0.004063087 0.012276639 0.0045873565 0.016776618 0.0120145045 0.009480537 0.011446547 0.011446547 0.00830093 0.009174713 0.009131024 0.011664992 0.0123203285 0.010834899 0.010660143 0.013456245 0.009524225 0.008912578 0.00978636 0.012538774 0.015465944 0.006422299 0.014155271 0.0126261525 0.009830049 0.00930578 0.009393158 0.0055048275 0.010048495 0.0017912535 0.0024902793 0.00878151 0.0065533663 0.0058106515 0.004543667 0.014242649 0.0037572633 0.00782035 0.021232907 0.009218402 0.0034514396 0.017388266 0.015334877 0.0070776357 0.0023155226 0.0022718336 0.0030145484 0.0055048275 0.0039320197 0.0039320197 0.0058106515 0.006029097 0.027130935 0.010660143 0.021669798 0.01917952 0.0553541 0.006334921 0.008213553 0.010398008 0.028223164 0.004456289 0.00489318 0.024815414 0.012407707 0.02651929 0.036087204 0.015378566 0.0018786317 0.031150334 0.022063 0.045742497 0.013762069 0.006990257 0.00537376 0.00878151 0.009087334 0.0021407662 0.0017912535 0.0037572633 0.0017038753 0.0018349425 0.002359212 6.1228766 0.0 16.0 0.0 4.0 451800.0 471040.0 1.0 0.0 314.0 0.0 1.0 1.0 0.0 0.0 1419007400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 226816.0 1024.0 4096.0 5.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -101888.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226816.0 0.0 41984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.027732 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.504475 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.890064 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.51214 0.0 6.9663134 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -102400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 65006.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -24220.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -226608.0 0.0 41576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -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 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 1.0 -2.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 2.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 2.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 3.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -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 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 -2.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 291052.0 41576.0 323584.0 0.0 0.0 6360.0 375808.0 0.0 0.0 28.0 235008.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 272792.0 0.0 0.0 1368.0 233472.0 0.0 0.0 0.0 0.0


Input: 0.23565294 0.010784697 0.006099941 0.013078274 0.006148741 0.0044407574 0.0023423776 0.008247121 0.024058169 0.006978333 0.0033183682 0.0020495802 0.0046359557 0.0021471793 0.0014151864 0.014103064 0.011907086 0.003415967 0.0026351747 0.002830373 0.004782354 0.006051142 0.0013175873 0.0009271911 0.0039039624 0.00082959206 0.0005855944 0.0012199883 0.002195979 0.0004879953 0.0004879953 0.0010247901 0.015176654 0.0013175873 0.0016591841 0.0020007808 0.0056119463 0.0005855944 0.00053679483 0.00039039625 0.0018543822 0.00082959206 0.00039039625 0.0040991604 0.001561585 0.0019031818 0.0012687878 0.001463986 0.012151083 0.0031719694 0.002391177 0.0062951394 0.0028791723 0.0021471793 0.0026351747 0.001561585 0.0026351747 0.0025375756 0.0030743706 0.005807144 0.003025571 0.0034647668 0.0032695686 0.0019519812 0.018690221 0.0035135662 0.00209838 0.0012687878 0.0040015616 0.011321492 0.0034647668 0.0038063636 0.004050361 0.0016591841 0.0006343939 0.0005855944 0.002488776 0.008588717 0.0018543822 0.0035135662 0.0073199295 0.0025375756 0.0027327738 0.004050361 0.0016591841 0.006099941 0.004977552 0.0029767714 0.0016103846 0.0013175873 0.00034159672 0.0016591841 0.0010735897 0.0021471793 0.0023423776 0.002195979 0.004050361 0.0052703493 0.0016103846 0.0041479603 0.0047335546 0.009515909 0.0047335546 0.00082959206 0.005855944 0.006343939 0.003757564 0.0011711888 0.004928753 0.0030743706 0.0047335546 0.005123951 0.0036111653 0.00087839155 0.007417529 0.007075932 0.010589498 0.00834472 0.003220769 0.001561585 0.0037087644 0.0011223892 0.0002927972 0.00043919578 0.0010247901 0.003220769 0.00068319344 0.00087839155 0.0019031818 0.002391177 0.0005855944 0.013273473 0.0045871558 0.0060023423 0.0005855944 0.000731993 0.0019519812 0.015811048 0.0011223892 0.0311341 0.00053679483 0.005416748 0.00039039625 0.00024399765 0.0005855944 0.00039039625 4.879953e-05 4.879953e-05 0.00043919578 0.0002927972 0.00024399765 0.00034159672 0.00019519812 9.759906e-05 0.0002927972 0.00043919578 0.00043919578 0.0001463986 0.0002927972 0.00024399765 0.00043919578 0.00034159672 0.000731993 0.0007807925 0.0011711888 0.00019519812 0.0001463986 9.759906e-05 0.0009759906 0.0001463986 0.0005855944 0.00024399765 0.0002927972 0.00019519812 9.759906e-05 0.00019519812 0.0011711888 0.00019519812 0.00019519812 0.00019519812 0.00039039625 0.00024399765 0.00522155 0.0017079836 0.0029767714 0.0005855944 0.00039039625 0.00039039625 0.0002927972 0.0001463986 0.0009271911 0.00024399765 0.006539137 0.0064903377 0.0012687878 0.004977552 0.0013175873 0.00019519812 0.002927972 0.0057583447 0.004489557 0.0024399767 0.0025863752 0.0011711888 0.0039039624 0.0002927972 0.0021471793 0.0010247901 0.001561585 0.0012687878 0.0017079836 0.00419676 0.00082959206 0.00024399765 0.0012199883 0.0012687878 0.0026839743 0.00043919578 0.00043919578 0.0009759906 0.0009759906 0.00019519812 0.0007807925 0.00039039625 0.004782354 0.0011711888 0.00087839155 0.00039039625 0.0017567831 0.0011711888 0.00053679483 0.00043919578 0.0069295336 0.004684755 0.00082959206 0.0045871558 0.0037087644 0.00019519812 0.000731993 0.00053679483 0.0036599648 0.0014151864 0.0004879953 0.000731993 0.0032695686 0.0006343939 0.0014151864 0.0019519812 0.005514347 0.00312317 0.0009271911 0.0009759906 0.00522155 0.0006343939 0.001561585 0.02503416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.07434724 0.0050113075 0.0033922698 0.0063219573 0.0023386101 0.0021073192 0.00390625 0.0027497944 0.0009765625 0.00048828125 0.0007966694 0.00053967925 0.00071957236 0.00053967925 0.00046258225 0.0005653783 0.032946136 0.00416324 0.0014134457 0.0029553864 0.0014391447 0.0010279606 0.0033151726 0.0026212994 0.0006167763 0.00025699014 0.00033408718 0.00033408718 0.0004111842 0.00023129112 0.00033408718 0.00023129112 0.02837171 0.0022615131 0.0027240955 0.007709704 0.0014391447 0.0016704359 0.0037520558 0.0035207649 0.0002055921 0.00010279605 0.00012849507 0.00015419407 0.00023129112 0.00012849507 0.00012849507 0.00010279605 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.038188733 0.003572163 0.00729852 0.012181332 0.003983347 0.0023900082 0.017089844 0.010099712 0.0030324836 0.0006938733 0.0010022615 0.0010536596 0.0015419408 0.0009251645 0.0011821546 0.0010279606 0.011281867 0.00089946546 0.0051141037 0.004548725 0.003983347 0.0029553864 0.012721011 0.007684005 0.0010793585 0.00012849507 0.00012849507 0.00015419407 0.00053967925 0.00023129112 0.00033408718 0.00084806746 0.079358555 0.011179071 0.0098941205 0.008660567 0.031224301 0.016550165 0.0104594985 0.013491982 0.045512952 0.0011821546 0.0017989309 0.007889597 0.025699014 0.009996916 0.01744963 0.025442023 0.0650956 0.019094367 0.011950041 0.01248972 0.029785156 0.020148026 0.020225123 0.015650699 0.03926809 0.0014905428 0.002004523 0.0053710938 0.02007093 0.007529811 0.014674136 0.030941611 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 19.858334 2383.0 0.079311796 0.0008392782 0.009651699 0.0004196391 0.0016785564 0.0008392782 0.0 0.0008392782 0.0008392782 0.0004196391 0.0 0.0004196391 0.0012589174 0.013848091 0.0067142257 0.0058749476 0.008392782 0.010071339 0.008812421 0.010490978 0.00923206 0.0050356695 0.007133865 0.007973143 0.0067142257 0.008392782 0.0050356695 0.0033571129 0.010490978 0.009651699 0.013008812 0.0062945867 0.0020981955 0.0062945867 0.0016785564 0.0033571129 0.007133865 0.0050356695 0.00461603 0.011330256 0.003776752 0.008392782 0.0004196391 0.0008392782 0.00461603 0.004196391 0.0062945867 0.008392782 0.010071339 0.0012589174 0.003776752 0.007553504 0.0025178348 0.0008392782 0.00461603 0.00461603 0.003776752 0.0 0.0 0.0012589174 0.004196391 0.0008392782 0.0004196391 0.0008392782 0.0012589174 0.039446075 0.011749895 0.031053293 0.03273185 0.07343684 0.012589173 0.0058749476 0.012589173 0.045321025 0.0025178348 0.004196391 0.03315149 0.022660512 0.0365086 0.040285356 0.020142678 0.0016785564 0.044901386 0.041963913 0.048678137 0.019723037 0.011749895 0.0050356695 0.007553504 0.007553504 0.0016785564 0.0016785564 0.0012589174 0.0025178348 0.0 0.0004196391 5.553549 1.0 0.0 0.0 1.0 20492.0 13262848.0 1.0 0.0 26.0 1.0 1.0 0.0 0.0 0.0 1543252000.0 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 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 9.0 0.0 5.0 0.0 5.0 0.0 17408.0 1024.0 4096.0 4.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17408.0 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 -4.3748093 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.387539 0.0 5.2115307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13230080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -17296.0 0.0 964.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 20788.0 964.0 28672.0 0.0 0.0 0.0 0.0 572.0 32768.0 28.0 4208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 108.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.29533306 0.02704676 0.036253016 0.016372344 0.028633881 0.0066881683 0.025931755 0.007449605 0.009630083 0.0047371155 0.018767118 0.0036913317 0.0043889354 0.004314118 0.003670192 0.0024973638 0.0038281167 0.008107832 0.0077681486 0.00558539 0.0036152708 0.0035758934 0.0052888156 0.0047756643 0.003004712 0.0021365413 0.002133847 0.002451147 0.0040871794 0.0019999635 0.0028602588 0.0022799585 0.0055812453 0.0016132349 0.0041410644 0.001472512 0.0014969675 0.0035562045 0.0016476384 0.0036687413 0.01430606 0.0015804893 0.010011631 0.0025781912 0.0012611169 0.0014148965 0.0019292913 0.0014673307 0.0040683197 0.0016287786 0.0021054538 0.002077475 0.0015721993 0.0015127185 0.0019122967 0.0011755226 0.0038436605 0.0042631347 0.002587103 0.0015460858 0.002183587 0.0015854633 0.0026758062 0.0026461694 0.002027735 0.0035642872 0.0025236846 0.003298178 0.0033101987 0.0029164236 0.002050118 0.0022105295 0.0016853579 0.0032405627 0.0011382176 0.0011533468 0.0024840997 0.0021771623 0.0023659673 0.0021000654 0.002742748 0.001459248 0.0026154963 0.0035518524 0.0028697923 0.0018729193 0.00210649 0.0016621458 0.0024235828 0.0017655636 0.001914162 0.0013970729 0.0010797731 0.000959568 0.0014148965 0.0058013448 0.0011690978 0.009342628 0.0017993454 0.004502094 0.004836803 0.015289669 0.0018988255 0.0035054283 0.0023460712 0.0087465765 0.0010080645 0.0023835835 0.0055882917 0.0047588767 0.008707406 0.019010637 0.0053574154 0.00095832447 0.009205428 0.008347619 0.011418445 0.004415671 0.0018329199 0.0016289859 0.0016385193 0.0024822345 0.00092101947 0.013935497 0.0011664036 0.0069528264 0.0020689778 0.0004901465 0.0038840743 0.0028239898 0.0014289895 0.00088661595 0.0009525215 0.0006866196 0.0029473037 0.00074299163 0.0007896229 0.0005649638 0.00072765513 0.00063356356 0.0012588372 0.00080723915 0.0007892084 0.00076268037 0.0007110751 0.00090816995 0.00064807106 0.00057553354 0.00086589094 0.0007709704 0.0010505508 0.000512944 0.0016575863 0.0007713849 0.00094526773 0.00060620654 0.0010797731 0.0012057811 0.00081407843 0.0004959495 0.0010884776 0.0010161473 0.0012495109 0.0007315929 0.0006949096 0.00072620437 0.0006047558 0.000479784 0.00114029 0.00077698065 0.00051107875 0.0007854779 0.00080102164 0.00064765656 0.0005479693 0.0005861033 0.0006870341 0.00079356064 0.00054030103 0.00054050825 0.0007744937 0.0006569828 0.000585067 0.0005135658 0.0008265134 0.0006300403 0.00077532267 0.0014289895 0.00073345815 0.0004998873 0.0004860015 0.00071211136 0.0014252589 0.00078983017 0.00054486055 0.00058796856 0.0012165582 0.00065946986 0.0013311674 0.0005902483 0.0007307639 0.0007572919 0.00046486198 0.00045491397 0.0009556302 0.0007591571 0.0009964585 0.00059646583 0.00085179793 0.00052351377 0.0004934625 0.00074133364 0.0007595716 0.00045325598 0.00050921354 0.00046444748 0.0006563611 0.0008049594 0.0007226811 0.00045097622 0.000962884 0.0008263062 0.00040558845 0.00048537974 0.00094381697 0.0011282696 0.00051688176 0.0016140639 0.0007011271 0.00053242553 0.001015111 0.00045139072 0.0006134603 0.00047335925 0.00056144054 0.00042900772 0.0006142893 0.0004884885 0.0004194742 0.00065553206 0.00076993415 0.00074009015 0.00042030323 0.00042838597 0.00072019413 0.0006076573 0.00042755698 0.000536985 0.0006766716 0.00075418316 0.00051563827 0.00053885026 0.00068599783 0.0005670363 0.0016984146 0.0022930151 0.00020719045 3.3167055e-06 6.218823e-07 3.1094115e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.1094115e-07 5.1823525e-07 0.0008058558 1.0675646e-05 5.8042347e-06 5.1823525e-07 5.1823525e-07 4.56047e-06 7.2552933e-07 6.218823e-07 1.3474117e-05 0.0 3.9385877e-06 1.0364705e-07 6.218823e-07 5.1823525e-07 5.1823525e-07 6.218823e-07 0.00039468796 7.3589404e-06 1.6583527e-06 2.072941e-06 2.9021173e-06 1.7619999e-06 2.6948233e-06 1.8656469e-06 1.8656469e-06 1.1401175e-06 1.1401175e-06 1.2437646e-06 1.1401175e-06 1.4510587e-06 7.2552933e-07 8.291764e-07 0.0032991893 3.7520233e-05 6.954717e-05 3.648376e-05 0.000104476225 4.1977055e-05 8.3850464e-05 3.8763996e-05 3.3270702e-05 9.742823e-06 1.5236116e-05 2.0833057e-05 1.1193882e-05 7.877175e-06 6.8407053e-06 4.042235e-06 0.0016749363 0.00012852234 5.4725642e-05 5.7316818e-05 3.938588e-05 2.4460704e-05 1.5132469e-05 8.499058e-06 2.0211175e-05 3.5239998e-06 2.4875292e-06 9.017293e-06 2.2284115e-05 1.3059528e-05 3.959317e-05 9.535529e-06 0.0056446185 0.00035219267 0.00015723257 9.628811e-05 8.032646e-05 7.0790935e-05 6.7266934e-05 5.8975173e-05 3.513635e-05 6.0633523e-05 5.7316818e-05 6.1048115e-05 0.0002110254 5.099435e-05 9.2142225e-05 0.0001211634 0.024230918 0.0011315148 0.00084938755 0.0006791991 0.0005308802 0.00048548277 0.00036929443 0.0004509683 0.00040277242 0.0003809029 0.00041655748 0.00035602762 0.000692155 0.0003388222 0.00054062303 0.00040940585 0.038289603 0.0011307893 0.003757931 0.001041031 0.0049495613 0.00414412 0.021690218 0.009974681 0.00073008984 0.00045988197 0.00074698427 0.00096184463 0.0007534104 0.00056280347 0.0015823795 0.00050040794 0.091669075 0.0059667532 0.0075348294 0.0058598933 0.014516805 0.012911417 0.045696326 0.024849795 0.0025112643 0.0016122299 0.0017643837 0.0015241299 0.001641562 0.001211945 0.001565796 0.001621869 0.1404403 0.018644342 0.019978797 0.011961906 0.005817294 0.0074036126 0.011076242 0.015026231 0.0058472482 0.003665478 0.003160406 0.002468251 0.0030764518 0.0026990727 0.0024854562 0.0037313974 0.15955852 0.02731649 0.021345489 0.015436674 0.009329686 0.008657846 0.011907076 0.018855782 0.008141268 0.0052136537 0.004514969 0.004033425 0.0048957686 0.003868937 0.0037326412 0.004802901 0.026390819 0.0075362804 0.0033897767 0.001882645 0.0024500089 0.0014042102 0.0033655234 0.003018824 0.0025117826 0.0018441919 0.0013694884 0.0014108437 0.0012711274 0.0010491154 0.00087094615 0.0009433954 0.0019169522 0.0010063092 0.00038100657 0.00015619611 0.0002390101 0.0002213901 0.00042578208 0.0002634708 0.00026823857 0.00018283339 0.0001266567 0.00014748976 9.8568344e-05 0.0001313208 8.011917e-05 8.5923406e-05 0.0006594025 0.00012458375 9.8568344e-05 7.162011e-05 9.348964e-05 0.00017516351 8.1673876e-05 0.0001826261 7.566235e-05 8.758176e-05 0.00010965858 8.851458e-05 8.913646e-05 7.524776e-05 6.312105e-05 4.6641173e-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 0.00015764715 0.00011090234 0.00010696376 0.000106341875 9.525164e-05 9.587352e-05 0.00012147434 9.8775636e-05 9.8050106e-05 9.9501165e-05 0.00010115952 0.00010240328 9.867199e-05 0.0001019887 9.887928e-05 0.00010426893 38333.0 15.0420265 576606.0 0.0009451861 0.00018903722 0.00040582303 7.630861e-05 0.00093304616 2.948287e-05 7.630861e-05 6.41686e-05 0.0005549717 3.8154303e-05 0.00027748584 4.6825735e-05 0.00014221149 0.00014568007 0.0009954805 0.0005775174 0.0011602377 0.002559807 0.0019961637 0.0014446607 0.00081684894 0.0005983288 0.00064688886 0.0005671117 0.00050814595 0.00046825735 4.6825735e-05 5.5497167e-05 0.006761983 0.00019077152 0.0068365573 0.00040235446 0.00020984867 0.015098698 0.008449444 0.014541992 0.011586769 0.013244746 0.008492801 0.008772021 0.0039680474 0.015769867 0.0006624974 0.0016857265 0.0080072 0.00934607 0.007027329 0.009453596 0.012379337 0.00053242594 0.012001263 0.019975511 0.013364412 0.0061966055 0.0037079046 0.004528222 0.0013787578 0.0011342234 0.00092957757 0.0001543515 5.896574e-05 2.948287e-05 4.1622876e-05 0.039550405 0.0002792201 0.058096863 0.005697131 0.024848856 0.02779541 0.10389417 0.007192086 0.020350117 0.010242696 0.053915497 0.001392632 0.0087460065 0.032510936 0.028085036 0.05411494 0.05092559 0.017655037 0.0011047405 0.045854535 0.0392417 0.07175784 0.021728875 0.007185149 0.006415126 0.004781428 0.0117896795 0.0010579148 4.1622876e-05 1.9077152e-05 0.00033818587 5.896574e-05 4.509145e-05 5.161708 0.0 0.0 0.0 8.0 4825088.0 4849664.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1542017500.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 4823040.0 512.0 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 -4823040.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.811255 0.0 2.4863796 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 -4822580.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 4830684.0 1024.0 4833280.0 0.0 0.0 0.0 0.0 12.0 4841472.0 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: 0.31647137 0.02688802 0.012955729 0.011523438 0.0064453124 0.004231771 0.0063802083 0.004361979 0.005924479 0.010481771 0.0048177084 0.0044270833 0.0013671875 0.003059896 0.0026041667 0.0010416667 0.0037760416 0.007747396 0.00071614585 0.0024739583 0.0016276041 0.0013020834 0.0018229167 0.0018880208 0.003125 0.0014322917 0.00078125 0.0014973958 0.003059896 0.0014322917 0.0013020834 0.0013671875 0.005924479 0.004036458 0.0036458333 0.004231771 0.0014973958 0.0024739583 0.002734375 0.00052083336 0.0044921874 0.0009765625 0.0046875 0.0006510417 0.0018229167 0.00026041668 0.020442707 0.00052083336 0.0044921874 0.0015625 0.001171875 0.0008463542 0.0011067708 0.000390625 0.000390625 0.0009765625 0.000390625 0.00078125 0.00052083336 0.0001953125 0.0016276041 0.00013020834 0.0020833334 0.0001953125 0.0011067708 0.00703125 0.0048828125 0.0029296875 0.0018880208 0.008528646 0.003125 0.0011067708 0.0009765625 0.0072265626 0.00078125 6.510417e-05 0.00052083336 0.0060546873 0.0029296875 0.00091145834 0.004361979 0.00026041668 0.0029296875 0.004361979 0.0046223956 0.012630208 0.0014973958 0.0014322917 0.00045572917 0.00013020834 0.000390625 0.007747396 0.00045572917 0.00026041668 6.510417e-05 0.004296875 0.0009765625 0.015885416 0.0053385417 0.0071614585 0.013802083 0.046614584 0.0017578125 0.014322917 0.003125 0.03860677 0.00026041668 0.0033203126 0.015950521 0.0052734376 0.041666668 0.015169271 0.0048828125 0.00091145834 0.021744791 0.012630208 0.03515625 0.012174479 0.003059896 0.0010416667 0.0013671875 0.011588542 0.0016276041 0.00045572917 0.00013020834 0.0018229167 0.00026041668 6.510417e-05 0.0018880208 0.001171875 0.00026041668 0.00045572917 0.00026041668 0.00013020834 0.0033854167 0.000390625 0.00026041668 6.510417e-05 0.0001953125 0.00026041668 0.00013020834 6.510417e-05 0.00013020834 0.0 0.0001953125 0.00013020834 0.0018880208 6.510417e-05 0.00026041668 0.00013020834 6.510417e-05 0.0 6.510417e-05 0.0 0.00013020834 0.00013020834 6.510417e-05 0.0005859375 0.0 0.00013020834 0.00091145834 0.00052083336 6.510417e-05 0.0005859375 6.510417e-05 0.0017578125 6.510417e-05 0.0001953125 0.00013020834 0.00013020834 0.00026041668 6.510417e-05 6.510417e-05 0.00026041668 0.0 6.510417e-05 0.0001953125 6.510417e-05 6.510417e-05 0.0 0.00013020834 6.510417e-05 0.00013020834 0.0001953125 0.0001953125 0.00013020834 0.0001953125 0.00013020834 0.0001953125 0.0001953125 0.0 0.00013020834 0.00052083336 0.0005859375 0.00045572917 0.000390625 0.00013020834 6.510417e-05 6.510417e-05 0.00013020834 0.0 0.00013020834 6.510417e-05 6.510417e-05 0.0001953125 0.00032552084 6.510417e-05 0.00013020834 0.0 0.0 6.510417e-05 0.0001953125 0.00013020834 0.0016276041 0.00013020834 0.0 0.00013020834 6.510417e-05 0.0001953125 0.0001953125 0.00013020834 0.00013020834 6.510417e-05 6.510417e-05 0.000390625 0.00032552084 6.510417e-05 0.0005859375 0.00013020834 6.510417e-05 0.00071614585 0.00026041668 0.0 0.0001953125 6.510417e-05 0.0 0.00013020834 0.0001953125 0.0 0.00013020834 0.00013020834 6.510417e-05 0.0 0.0001953125 6.510417e-05 6.510417e-05 0.00032552084 0.00013020834 0.00013020834 0.00013020834 0.00013020834 6.510417e-05 0.00013020834 6.510417e-05 6.510417e-05 0.00032552084 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.05845424 0.00017438616 0.0009416853 0.00052315847 0.0013950893 0.0010114397 0.0063825333 0.0021972656 0.0001046317 0.0 0.0 6.975447e-05 0.0 0.0 3.4877234e-05 0.00013950893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.050711494 0.002999442 0.0068359375 0.0017438616 0.0012904576 0.000906808 0.0014299665 0.0038364956 0.0004185268 6.975447e-05 0.00038364955 0.00017438616 0.00027901787 3.4877234e-05 0.0001046317 0.0002092634 0.0030343193 0.0 0.00013950893 0.0011160715 0.0068359375 0.0042201453 0.03644671 0.019635882 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.092633925 0.009277344 0.0119280135 0.0032435826 0.0025111607 0.0055803573 0.0009765625 0.0031040737 0.005231585 0.000906808 0.002859933 0.00062779017 0.0007324219 0.001499721 0.0010811941 0.0006626674 0.1323591 0.014543806 0.030796597 0.00819615 0.034563337 0.027936663 0.16755022 0.074916296 0.0024414062 0.0010463169 0.00080217636 0.0007672991 0.0009765625 0.0013602121 0.0010463169 0.00069754466 0.058698382 0.009905134 0.009137834 0.0026855469 0.0059640068 0.00882394 0.028878348 0.010114397 0.0012555803 0.0020577568 0.0014299665 0.00038364955 0.001499721 0.000453404 0.0011858259 0.00038364955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257.0 23.953308 6156.0 0.002111761 0.0050357375 0.00048732944 0.00048732944 0.0009746589 0.00016244315 0.0003248863 0.0 0.00016244315 0.0 0.00016244315 0.0 0.00016244315 0.0 0.02891488 0.0 0.007634828 0.0025990903 0.0019493178 0.0006497726 0.0006497726 0.0006497726 0.0003248863 0.00081221573 0.0003248863 0.0003248863 0.0 0.0 0.003411306 0.0 0.003411306 0.0 0.00016244315 0.016081871 0.0116959065 0.0051981807 0.0035737492 0.020305393 0.0063352827 0.002111761 0.0012995452 0.016081871 0.0003248863 0.0 0.00048732944 0.012020793 0.00568551 0.0016244315 0.008122157 0.0003248863 0.004385965 0.009584146 0.008934373 0.02274204 0.0009746589 0.0029239766 0.00016244315 0.0 0.0 0.0 0.0 0.0 0.0 0.010071475 0.0003248863 0.033950616 0.012833009 0.014944769 0.032326184 0.11013645 0.0035737492 0.033950616 0.0061728396 0.09291748 0.00016244315 0.007959714 0.03671215 0.010721248 0.09779077 0.034762833 0.0082846 0.0012995452 0.047758285 0.027940221 0.08398311 0.029077323 0.00568551 0.0025990903 0.0027615335 0.027452892 0.0009746589 0.0 0.0 0.0 0.0 0.0 4.8677845 0.0 0.0 0.0 1.0 15360.0 40960.0 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 13312.0 512.0 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 -13312.0 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 -5.535195 0.0 2.6624353 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 -12932.0 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 21028.0 1024.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 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: 0.007840955 0.0042280513 0.0041055344 0.0039529423 0.0039717103 0.003933475 0.003892092 0.0039368556 0.00384558 0.0038916257 0.0038846314 0.0038460463 0.0039239163 0.0038877788 0.0039130747 0.0039061971 0.004423542 0.0038493103 0.0038397515 0.003901884 0.0038810177 0.0038744898 0.0038677286 0.003876005 0.003844181 0.0038820668 0.003909811 0.0038427822 0.003854556 0.0038233148 0.0038248303 0.0038544394 0.0040410706 0.0038546724 0.0038532736 0.003809909 0.003881717 0.0038580531 0.003856188 0.0038476782 0.0038838154 0.003828677 0.0038482612 0.0038783366 0.0038769378 0.0038328737 0.0038353216 0.003864348 0.0038727412 0.0038514086 0.00385374 0.0039071296 0.003864931 0.0038287935 0.0038699433 0.0038321742 0.0038877788 0.003901884 0.003827628 0.0038469788 0.0038887113 0.0038775206 0.0038259958 0.0038580531 0.004064851 0.0039912947 0.0039006018 0.0038965216 0.0038263455 0.003941402 0.0038425492 0.0038764714 0.0038713422 0.00386598 0.003856771 0.0038418497 0.0038636485 0.0038776372 0.0038635319 0.0038529239 0.0039673974 0.0038502428 0.0038110747 0.003938604 0.003894773 0.0038793858 0.0038846314 0.0038410337 0.0038824165 0.0038799685 0.0038475618 0.0038932578 0.0038446474 0.0038587525 0.003868428 0.0038489606 0.0038427822 0.0039278795 0.003878453 0.0038767045 0.0039499113 0.0039580716 0.0039077126 0.003899203 0.003938021 0.0038807846 0.003924266 0.0038467457 0.0039373217 0.0038754223 0.0038936075 0.0038875458 0.003891859 0.0038820668 0.003932542 0.003899203 0.0040277815 0.0039504943 0.0038979205 0.0038511753 0.0038687778 0.0038483776 0.0038369535 0.0038060623 0.0038777536 0.0038889446 0.0038550224 0.0038030313 0.0042862208 0.0038811343 0.0038262291 0.0039344076 0.0038223823 0.003912725 0.0038713422 0.0038559549 0.003900019 0.0039480464 0.003873557 0.0042045037 0.003827628 0.003924732 0.0038612005 0.0038542063 0.0039836005 0.00384558 0.0038395182 0.0038985035 0.003891276 0.0038514086 0.0038580531 0.0038658634 0.0038756554 0.0038834657 0.0038974544 0.0038530405 0.00387414 0.003841733 0.0038660965 0.0038623663 0.0038823 0.003878453 0.0038598017 0.003867845 0.0038734407 0.0038598017 0.0038734407 0.0038624827 0.003869827 0.003864931 0.003852108 0.003862133 0.003838003 0.0038491937 0.00383334 0.0038326406 0.0038674953 0.0038821835 0.003838469 0.0038686611 0.0039047983 0.0038566543 0.0038452302 0.0038840487 0.0039011845 0.0038609675 0.0038728577 0.0038324073 0.0038823 0.0038746062 0.0038529239 0.0038820668 0.0039757905 0.0039239163 0.0038843984 0.0039529423 0.0038805513 0.0038897607 0.003868428 0.003873091 0.0038799685 0.003862949 0.003849077 0.003875772 0.0039031664 0.0038707594 0.0038600347 0.0038533902 0.0038614336 0.0038391685 0.003883932 0.0038983868 0.0038477948 0.0038630657 0.003843132 0.0038610839 0.003880668 0.0038813674 0.0038846314 0.0039180876 0.0038617833 0.003891859 0.0038625994 0.0039046817 0.0038756554 0.003880901 0.0038445308 0.0038701766 0.003887196 0.003876588 0.0038624827 0.0038842817 0.0040571573 0.0038854475 0.0038614336 0.003896755 0.0038854475 0.0038305423 0.0038368371 0.0038679617 0.0039586546 0.0038807846 0.0038467457 0.003852108 0.0038764714 0.0038252964 0.0038580531 0.0038157376 0.003905148 0.003855372 0.0038522244 0.0038200507 0.0038869628 0.0038453469 0.0038473285 0.0056200325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00010895388 1.0434855e-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 0.000107088425 1.1425875e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.744292e-07 0.0 0.0 0.0 0.0 0.0 0.00023533804 0.00012154566 1.16590556e-07 1.16590556e-07 1.16590556e-07 1.7488584e-07 1.16590556e-07 1.16590556e-07 1.16590556e-07 5.8295278e-08 5.8295278e-08 5.8295278e-08 5.8295278e-08 5.8295278e-08 5.8295278e-08 5.8295278e-08 0.0010745568 0.0005002318 2.8564687e-06 2.2735157e-06 5.1299844e-06 7.928158e-06 1.8654489e-06 1.5739726e-06 0.0002939831 8.161339e-07 1.049315e-06 5.3048702e-06 1.2824961e-06 9.910198e-07 2.3318112e-06 8.044748e-06 0.00024775494 3.322831e-06 2.7981735e-06 2.3901064e-06 1.5215068e-05 1.1659056e-06 3.847488e-06 3.147945e-06 4.2322372e-05 1.8945966e-05 7.578386e-07 6.1210044e-06 1.2824961e-06 9.3272445e-07 1.2242008e-06 6.937138e-06 0.0005683207 7.4035e-06 1.4340639e-05 9.910197e-06 4.2322372e-05 2.4134246e-05 3.765875e-05 2.0170166e-05 4.395464e-05 4.022374e-06 1.3990867e-06 2.6815827e-05 1.7488584e-06 1.4573819e-06 3.4394213e-06 2.8622982e-05 0.00012451872 0.0 1.7197108e-05 6.4124805e-07 1.0726331e-05 6.529071e-06 4.9609283e-05 2.9555706e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0005890155 2.8156619e-05 2.6232876e-05 9.793606e-06 4.086499e-05 1.8537898e-05 0.00013098949 6.674809e-05 1.964551e-05 3.70175e-05 1.136758e-05 1.9936984e-05 1.9062556e-05 1.0784626e-05 4.0806694e-06 0.0001616528 0.0003321665 5.887823e-06 5.3515065e-05 1.2533485e-05 2.949741e-05 3.0663316e-05 0.00010271628 6.1793e-05 2.7806847e-05 3.6201367e-05 2.0170166e-05 1.964551e-05 2.0986301e-05 2.0519938e-05 7.928158e-06 0.00017307868 0.00048455034 3.754216e-05 5.963607e-05 4.7627243e-05 7.875692e-05 2.6874122e-05 0.000135828 7.473455e-05 3.0546726e-05 6.768082e-05 1.8246423e-05 3.136286e-05 3.6259662e-05 5.9694365e-05 4.9959053e-05 0.00019336544 0.00012014657 2.7981735e-06 3.0313545e-06 2.2735157e-06 4.2555553e-06 3.6726026e-06 2.5475036e-05 4.529543e-05 4.4071232e-05 3.7367274e-05 3.45691e-05 2.8856162e-05 4.1331354e-05 8.312907e-05 7.560898e-05 0.0002838397 0.00021417685 1.5798021e-05 2.8739572e-05 3.4102737e-05 7.916499e-05 5.0192233e-05 0.00013256347 7.928158e-05 6.8322064e-05 7.3393756e-05 8.0330894e-05 0.000108196036 0.00014754535 0.00016754062 7.6949764e-05 0.000434533 0.00048449205 4.81519e-05 6.225936e-05 6.464947e-05 0.00016188598 0.0001308729 0.00012696712 0.000112859656 0.00022437853 5.4972446e-05 5.742085e-05 8.0564074e-05 0.00016987244 9.717823e-05 0.00011565783 0.00039559175 0.0008642858 0.00013361278 0.00015168432 0.00018467945 0.0003136869 0.00033892874 0.0001975044 0.00021289436 0.0005803878 7.7124656e-05 6.657321e-05 0.00011618249 0.00029077684 0.00015529862 0.00027725234 0.00057589903 0.061362077 0.061426084 0.06143197 0.061426435 0.061453834 0.061354324 0.06148059 0.061411276 0.0614118 0.061584238 0.061471265 0.061466075 0.061477266 0.061390057 0.06149167 0.06128845 39286.0 5.689075 223501.0 0.011610686 0.0101789255 0.0106353 0.009950738 0.010053647 0.010098388 0.010805321 0.010223668 0.010174451 0.010259462 0.010049172 0.010380267 0.010407113 0.010608453 0.010375792 0.01008944 0.010344473 0.010084966 0.01051002 0.010474226 0.010348947 0.01044738 0.009892574 0.010165502 0.010125235 0.010335525 0.010111812 0.010290782 0.010259462 0.010272885 0.010201297 0.01029973 0.010402638 0.010246039 0.0100268 0.01015208 0.010599505 0.010425009 0.010071543 0.010630825 0.010165502 0.010774001 0.0100268 0.0101789255 0.010286308 0.010492123 0.010389215 0.01008944 0.010595031 0.010134183 0.009668861 0.010693464 0.0107695265 0.009856779 0.01033105 0.010156554 0.010040224 0.010398163 0.010496598 0.010250513 0.010134183 0.010429484 0.010250513 0.010187874 0.009816511 0.011252746 0.010366844 0.010653196 0.010774001 0.012438423 0.010483175 0.010693464 0.010818743 0.010975342 0.010675567 0.01029973 0.011199055 0.010702413 0.010988765 0.011096147 0.010460803 0.010514494 0.011597264 0.011252746 0.011780708 0.010339999 0.010469751 0.010389215 0.010384741 0.01044738 0.010013378 0.009780717 0.00991047 0.009923893 0.0101073375 0.009977584 6.583699 0.0 1.0 0.0 112.0 8578420.0 188416.0 0.0 0.0 120.0 0.0 1.0 0.0 1.0 0.0 1437053000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 65024.0 1024.0 4096.0 8.0 2.0 0.0 2.0 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 0.0 512.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61952.0 -3584.0 72704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -5.963501 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4580722 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4045367 -5.013272 5.4233575 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 0.0 0.0 0.0 24.0 -2884.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22200.0 0.0 0.0 -3208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61748.0 -3536.0 72508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 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 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3536.0 102400.0 72508.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 110592.0 0.0 0.0 0.0 0.0 524.0 103164.0 0.0 0.0 0.0 0.0