Input: 0.062197994 0.0025780809 0.0025196634 0.0024160554 0.004856359 0.0025802853 0.002670667 0.0027533332 0.0075788302 0.0026872002 0.0027092446 0.0028426126 0.0041024443 0.003049829 0.003086202 0.00306526 0.0077573895 0.0031898103 0.0029803894 0.0029506297 0.0028767812 0.0031688681 0.0032890097 0.0034510351 0.0040010405 0.0032063434 0.0031291884 0.0035535411 0.0033253827 0.003531497 0.0034896128 0.0035810967 0.0043239896 0.0057888334 0.0034135599 0.0033342005 0.0031148596 0.0032989294 0.0030156602 0.003204139 0.0027412088 0.0034686706 0.003009047 0.003757451 0.0033617557 0.0038764903 0.0037662687 0.004105751 0.0041377153 0.003414662 0.0029153586 0.0032427167 0.002712551 0.003527088 0.0032162634 0.0038246862 0.0031203707 0.003445524 0.0035028392 0.0036659671 0.0034829995 0.0035248837 0.0037816998 0.0034719773 0.001804326 0.004977603 0.005767891 0.0031688681 0.0029054387 0.0036736827 0.0032890097 0.0034300932 0.002798524 0.0031126551 0.0032184678 0.003753042 0.0027841951 0.0031490284 0.0033187694 0.0033000316 0.0027037335 0.0030696688 0.0036174697 0.0033408138 0.0031413129 0.003855548 0.0037056468 0.004271083 0.0033639602 0.0034576484 0.0036582516 0.0038147662 0.0036957269 0.0038665703 0.0037794954 0.0054361243 0.0025670587 0.004372487 0.0032989294 0.00388641 0.0028569412 0.00394593 0.0031457217 0.0038103573 0.0028238748 0.0032636586 0.0033771868 0.0040936265 0.0035359059 0.003865468 0.003685807 0.004644734 0.0030189669 0.0036924202 0.0034014354 0.004071582 0.0032581475 0.004326194 0.003434502 0.0042633675 0.003322076 0.0036439227 0.0035006348 0.004229199 0.0035821989 0.0043802024 0.004066071 0.006809484 0.0023620469 0.002420464 0.0043173763 0.0028481237 0.0057447446 0.002921972 0.004315172 0.0035590522 0.0031291884 0.0030476246 0.003496226 0.0038676725 0.0032768853 0.003799335 0.0037861085 0.0037662687 0.0025450145 0.003660456 0.0032989294 0.0031611526 0.0032746808 0.003701238 0.0038081529 0.0044474374 0.0030983265 0.0030685666 0.003173277 0.00354803 0.0032823964 0.0035755855 0.003516066 0.0036384116 0.0020776752 0.003096122 0.0029363008 0.0033860046 0.0028844967 0.0037365088 0.0030068425 0.0032834986 0.0029528341 0.0035050437 0.003711158 0.004066071 0.0034587507 0.0038875123 0.0039569517 0.0050327135 0.0030575444 0.003921681 0.0032129567 0.0034620573 0.0030784865 0.003950339 0.003799335 0.0040263915 0.0037420199 0.003686909 0.0037332023 0.0039051478 0.0034521373 0.00412008 0.0042203814 0.007365001 0.0028216704 0.002941812 0.0028415103 0.004890528 0.0033496313 0.0038059484 0.0036670694 0.0041189776 0.0035513367 0.003531497 0.0038015395 0.0043328074 0.0033353027 0.0034157643 0.0037607576 0.0042523453 0.002583592 0.003157846 0.0030619532 0.0031942192 0.0032923163 0.0040792977 0.0035381103 0.004720787 0.0033793913 0.0032228767 0.0032779875 0.003974587 0.0035844033 0.0036262874 0.003819175 0.0061150887 0.0030950198 0.0034411154 0.0040252893 0.0038390148 0.0041498397 0.004818884 0.0035348036 0.0040065516 0.0031291884 0.0032570453 0.0038709792 0.004382407 0.0034466262 0.0037916196 0.003674785 0.005695145 0.0033000316 0.0042269947 0.005566186 0.003937112 0.0034532396 0.004316274 0.0037508376 0.005162775 0.004238017 0.00592661 0.0039613605 0.004655756 0.006581326 0.004486015 0.0068756174 0.0060412404 0.040642656 1.1034605e-06 0.0 4.965572e-06 3.8621115e-06 5.5173024e-07 1.6551907e-06 1.6551907e-06 3.3103813e-06 5.5173024e-07 2.7586511e-06 2.7586511e-06 2.206921e-06 1.6551907e-06 2.206921e-06 6.0690327e-06 0.0032331392 9.931144e-06 9.379414e-06 1.1586335e-05 9.931144e-06 3.8621115e-06 1.0482874e-05 1.48967165e-05 7.172493e-06 7.172493e-06 1.2138065e-05 1.10346045e-05 1.3241525e-05 7.172493e-06 1.9310557e-05 9.379414e-06 0.0010339424 1.6551907e-06 4.965572e-06 3.8621115e-06 1.1586335e-05 1.0482874e-05 2.8689972e-05 2.0414018e-05 1.6551907e-06 5.5173024e-07 1.6551907e-06 5.5173024e-07 2.206921e-06 1.1034605e-06 4.413842e-06 2.206921e-06 0.0010047008 6.0690327e-06 4.413842e-06 6.6207626e-06 7.172493e-06 6.6207626e-06 6.6207626e-06 1.2689795e-05 2.7586511e-06 8.275953e-06 7.172493e-06 1.3241525e-05 7.724223e-06 1.1586335e-05 8.827684e-06 1.5448446e-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 0.00093352754 1.0482874e-05 7.172493e-06 1.7655368e-05 8.275953e-06 7.724223e-06 1.7103637e-05 1.4344986e-05 1.3793256e-05 1.2138065e-05 1.2138065e-05 1.5448446e-05 1.10346045e-05 2.0414018e-05 1.2689795e-05 1.6000176e-05 0.00083587127 6.0690327e-06 1.5448446e-05 2.262094e-05 3.4207274e-05 2.37244e-05 0.00010869085 5.8483405e-05 4.413842e-06 1.6551907e-06 2.206921e-06 3.3103813e-06 2.206921e-06 1.1034605e-06 6.6207626e-06 3.3103813e-06 0.0038648702 7.2276656e-05 0.0002135196 0.00017710541 0.000116415074 9.4345865e-05 0.0004656603 0.00033710717 2.648305e-05 2.8689972e-05 2.482786e-05 3.6965925e-05 3.4207274e-05 3.4759003e-05 5.075918e-05 7.172493e-05 0.0014168433 6.4000706e-05 0.00012082892 9.710452e-05 5.8483405e-05 4.74488e-05 0.00017765713 0.00013296699 2.427613e-05 2.0965748e-05 1.0482874e-05 1.7103637e-05 3.0896892e-05 9.931144e-06 1.5448446e-05 1.5448446e-05 0.00020358845 2.7586511e-06 1.7103637e-05 1.3241525e-05 7.5035314e-05 5.9586866e-05 0.00044469457 0.00029517568 5.5173023e-06 3.3103813e-06 3.3103813e-06 2.206921e-06 1.1034605e-06 1.1034605e-06 5.5173024e-07 1.6551907e-06 0.0014124294 9.103549e-05 9.544933e-05 6.0138595e-05 0.00013572564 0.00012524276 0.0006057998 0.00042483228 6.1793784e-05 5.8483405e-05 4.1931497e-05 5.6276484e-05 6.1793784e-05 5.186264e-05 5.186264e-05 5.5173023e-05 0.0003106241 4.358669e-05 6.9518006e-05 6.841455e-05 6.0138595e-05 5.186264e-05 0.000286348 0.00018703655 1.8758828e-05 3.3103813e-06 3.8621115e-06 4.965572e-06 5.5173023e-06 3.3103813e-06 6.6207626e-06 6.0690327e-06 0.00046455686 2.537959e-05 2.7034781e-05 4.248323e-05 3.3103814e-05 3.4759003e-05 4.910399e-05 6.4000706e-05 2.593132e-05 4.1931497e-05 4.0276307e-05 5.3517833e-05 5.020745e-05 4.855226e-05 5.186264e-05 7.724223e-05 0.00045959128 4.0828036e-05 2.37244e-05 5.4621294e-05 2.7034781e-05 2.7586511e-05 4.358669e-05 5.29661e-05 4.0828036e-05 4.0828036e-05 3.6414196e-05 5.9035134e-05 5.186264e-05 4.800053e-05 5.075918e-05 7.2276656e-05 0.0002846928 2.7586511e-05 3.2552085e-05 5.6276484e-05 3.2552085e-05 5.020745e-05 3.4207274e-05 9.544933e-05 2.8689972e-05 5.131091e-05 4.0828036e-05 6.510417e-05 6.56559e-05 6.786282e-05 7.944915e-05 0.00011751854 0.054994263 0.05711732 0.056924768 0.054380186 0.053884182 0.058294162 0.054829296 0.061265226 0.056455795 0.054579914 0.0547995 0.062459722 0.058141332 0.058382988 0.06186275 0.07609187 4039.0 6.4050508 25870.0 0.010050251 0.008078855 0.011596444 0.010436799 0.008504059 0.009509084 0.009431774 0.01020487 0.00916119 0.0098569775 0.009818322 0.009470429 0.01132586 0.010707383 0.014070352 0.009199846 0.009006571 0.009895632 0.010243526 0.008890606 0.0076923077 0.009199846 0.008658678 0.008813297 0.007614998 0.008620023 0.008735987 0.0082334755 0.008349439 0.009586394 0.008504059 0.007614998 0.006609973 0.010475454 0.011364515 0.010746038 0.012176266 0.012601469 0.011441825 0.010514109 0.009663703 0.008851952 0.009393119 0.0092385 0.008851952 0.010398145 0.010862002 0.008851952 0.0073444145 0.00916119 0.011016621 0.010939312 0.008851952 0.010050251 0.011209896 0.011055277 0.00722845 0.008040201 0.009586394 0.0077696173 0.009083881 0.0090452265 0.009006571 0.009431774 0.006378044 0.013297255 0.0114804795 0.012485504 0.012137611 0.024352532 0.009934287 0.012408195 0.0092385 0.016003093 0.009625048 0.010050251 0.013258601 0.014766138 0.017317357 0.018206418 0.008929262 0.007885582 0.018167762 0.017897177 0.018438345 0.015384615 0.009625048 0.009547738 0.00722845 0.011016621 0.009431774 0.008040201 0.007846927 0.010166216 0.0077696173 0.009741013 6.535717 1.0 0.0 0.0 9.0 907264.0 933888.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 4231770400.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 904704.0 512.0 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 -904704.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.805222 0.0 4.2335796 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 -904700.0 0.0 1516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 912802.0 1516.0 917504.0 0.0 0.0 0.0 0.0 12.0 925696.0 56.0 912628.0 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: 0.24244696 0.022907827 0.012212875 0.008558888 0.0054754936 0.0036978787 0.0048719826 0.0012582297 0.005607169 0.0015983906 0.0025530357 0.001027798 0.0009619605 0.0017300658 0.0008046818 0.0035332846 0.0035149963 0.001532553 0.00068763713 0.0008046818 0.0015727872 0.002889539 0.0007242136 0.00073884416 0.0023299195 0.0021360645 0.00049012434 0.0005267008 0.0006547184 0.0007644477 0.00059619604 0.0006547184 0.006276518 0.00083760056 0.0014264813 0.0005815655 0.008646672 0.0016934894 0.0005596196 0.00042428676 0.0021726408 0.00067666423 0.00063643017 0.0007607901 0.0005523043 0.0005340161 0.0009656181 0.0006620337 0.0058778347 0.0014264813 0.0021470373 0.0017922458 0.0018617411 0.00031455743 0.0005267008 0.0004023409 0.0013423555 0.0004864667 0.0004608632 0.0010095099 0.00051207026 0.00044989027 0.00032553036 0.0030395025 0.015270665 0.0070629115 0.0019129481 0.0017556694 0.0032882225 0.003796635 0.00045720555 0.00044623262 0.03813826 0.003024872 0.0009034382 0.00063643017 0.0036978787 0.0014008778 0.00062911486 0.0010790051 0.003899049 0.0028675932 0.001265545 0.0023189466 0.0031528894 0.001634967 0.0020519386 0.0037198244 0.002428676 0.00043891734 0.0019092904 0.001027798 0.0031565472 0.00052304316 0.0005925384 0.0026517923 0.0019970739 0.007304316 0.001532553 0.0034089247 0.004455011 0.013467447 0.0019385515 0.00089246524 0.003405267 0.0029846379 0.00072055595 0.00047183613 0.00253109 0.0009217264 0.0027944404 0.003127286 0.0029188003 0.00063643017 0.0076810536 0.0019056328 0.0088807605 0.004188003 0.0027505485 0.00070958305 0.0013460132 0.0009912216 0.00034381857 0.00031821508 0.0005523043 0.00034016094 0.00047183613 0.0004023409 0.0038844184 0.00046452085 0.0005815655 0.008365033 0.0006986101 0.0027761522 0.00061448425 0.0004864667 0.0007168983 0.0068251644 0.00082662766 0.020691294 0.00051207026 0.004897586 0.00034381857 0.00035844915 0.0030468178 0.0004206291 0.00042428676 0.0010716899 0.00043160203 0.00041697148 0.00026700806 0.00021580102 0.0005705925 0.0002816386 0.00024506217 0.00027066568 0.00034016094 0.00027432333 0.00025603513 0.00020482809 0.0009912216 0.00036942208 0.00044623262 0.00058522314 0.000493782 0.0004608632 0.0005523043 0.00058522314 0.00084491586 0.00047549378 0.0003950256 0.00036576446 0.00058522314 0.00048280906 0.0003218727 0.0003035845 0.0010058522 0.00026700806 0.0003035845 0.00023774689 0.00043160203 0.00027066568 0.0004023409 0.00028529626 0.001163131 0.0007534748 0.0011192393 0.00031821508 0.00031821508 0.00028529626 0.00028895392 0.00049012434 0.0029663497 0.00335406 0.0012435991 0.0053767376 0.0030687638 0.00043891734 0.00068397954 0.0026993416 0.0015288953 0.001141185 0.0005523043 0.0019202634 0.23104608 0.00032553036 0.0008119971 0.0010643746 0.0011046086 0.00049743964 0.0009583029 0.00061082665 0.0002816386 0.00041331383 0.00046452085 0.0007498171 0.001089978 0.0011741039 0.0006693489 0.0006327725 0.000329188 0.00024506217 0.00024140453 0.0003035845 0.0012106803 0.0003218727 0.00042428676 0.00032553036 0.00038771032 0.0002962692 0.0020592539 0.00026700806 0.0046232627 0.0057681054 0.0005705925 0.0007059254 0.0027615216 0.00028529626 0.00034381857 0.00041331383 0.0025676663 0.00035844915 0.00060351135 0.00031089978 0.00045720555 0.00035844915 0.00089978054 0.00047549378 0.0022092173 0.00089246524 0.0007571324 0.00039136797 0.00034016094 0.0007059254 0.0035991222 0.025563277 0.022722583 5.5277123e-06 3.6851416e-06 3.6851416e-06 3.5008845e-05 3.6851416e-06 1.1055425e-05 9.212854e-06 4.42217e-05 3.6851416e-06 0.0 0.0 0.10163989 1.1055425e-05 1.28979955e-05 2.211085e-05 0.0036998822 1.28979955e-05 1.4740566e-05 4.42217e-05 6.817512e-05 2.7638562e-05 4.42217e-05 1.28979955e-05 6.817512e-05 1.28979955e-05 1.1055425e-05 5.5277123e-06 0.0071915537 5.5277123e-05 1.8425708e-05 3.3166274e-05 0.013622126 7.923054e-05 0.00016767393 0.00017872936 2.7638562e-05 2.5795991e-05 0.00012897995 9.949882e-05 3.6851416e-05 1.1055425e-05 2.0268279e-05 1.8425708e-05 0.0005914652 7.370283e-06 2.211085e-05 5.7119694e-05 0.023094783 0.00010134139 0.0002966539 0.00018057194 0.00022847878 0.00016951651 0.00041826357 0.00016214623 0.0002450619 4.974941e-05 9.028597e-05 0.00028559848 0.00042379127 0.00015477595 0.00015293337 0.00036114387 0.045552034 0.00079783314 0.0015403891 0.00064305717 0.00032429246 0.0002450619 0.0008144163 0.00048275353 0.00034824587 0.00040720814 0.00018425708 0.00032982018 0.0033774322 0.0004477447 0.00023584906 0.00087337854 0.015016952 0.0005933078 0.0006356869 0.00020268279 8.84434e-05 0.0001197671 0.00039431013 0.00017320165 0.00046064268 0.00026164504 7.186026e-05 8.4758256e-05 0.000106869105 8.660083e-05 0.0002763856 0.00029481133 0.034012012 0.0015772405 0.0014150944 0.00037219928 0.00073150056 0.0005048644 0.0019586526 0.0010539505 0.0021134287 0.00046432784 0.00075361144 0.00018794222 0.0059736143 0.00023032134 0.0006946492 0.0007867777 0.03350162 0.0017651828 0.00092128536 0.0018094045 0.0011055424 0.0010207841 0.0018683667 0.0012603184 0.000755454 0.00026901532 0.00014372052 0.00017135908 0.00030033904 0.00042931898 0.00090285967 0.0028320313 0.035430793 0.0021613354 0.0015127506 0.0033792749 0.012074366 0.008748526 0.022538325 0.010981722 0.0010760613 0.0006043632 0.0006043632 0.0005877801 0.007151017 0.000377727 0.0017485997 0.0042305426 0.0068396227 0.0005748821 0.0004974941 0.0022682047 0.005957031 0.00371278 0.008895932 0.004167895 0.00023769162 7.923054e-05 0.00011055425 0.00014556308 0.00011239682 0.000103183964 0.0001510908 0.000108711676 0.015153302 0.0010410525 0.0010373674 0.0016933226 0.005781987 0.003231869 0.0060196784 0.003451135 0.0012916421 0.00079046283 0.0014058815 0.0005343455 0.00403523 0.0005914652 0.0015551298 0.0014427329 0.027916789 0.0030089181 0.0044405954 0.0025298495 0.012142541 0.0038362322 0.002188974 0.0026588296 0.010423423 0.002030513 0.0027749115 0.0016951651 0.034091245 0.0018499411 0.0069096405 0.006030734 0.036495797 0.007267099 0.012422612 0.006133918 0.04204194 0.010495283 0.0035211528 0.0075490125 0.033488724 0.0029389004 0.0012640036 0.0031231574 0.090545766 0.0045198263 0.0070386203 0.021720223 0.0031931752 0.00061173347 0.001055793 0.0007259729 0.0022331958 0.00068727887 0.00080336083 0.0008346845 0.0017375442 0.00021189563 0.00016951651 0.00023769162 0.004061026 0.00037956957 0.00064305717 0.0012824292 0.0031268427 0.0008125737 0.0011239682 0.0014445755 0.0008512677 0.0006946492 0.002008402 0.0012566332 0.00075913913 0.00043300414 0.00051407726 0.00039431013 0.00039983785 0.0004108933 0.00036114387 0.0005030218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 835.0 36.422756 30413.0 0.004175846 0.0001315227 0.0006904942 9.864203e-05 0.004307369 0.00016440338 3.2880675e-05 3.2880675e-05 0.0005918522 0.0002630454 0.0001315227 0.00016440338 9.864203e-05 0.001315227 0.0047348174 0.0023674087 0.010028606 0.0076611973 0.0044060107 0.0011837044 0.0019070792 0.00032880675 0.0013809884 0.0011508237 0.0006904942 0.00019728405 0.0016769145 0.00019728405 0.00049321016 0.00032880675 0.0003945681 0.02482491 0.09824746 0.044487555 0.008812021 0.0051293853 0.0079900045 0.02633742 0.001512511 0.00049321016 0.0064117317 0.006904942 0.00437313 0.00032880675 0.0019070792 0.0036168743 0.002235886 0.004044323 0.013513958 0.019794166 0.0015453917 0.008351692 0.019300956 0.006937823 0.01505935 0.020780588 0.011968566 0.00023016473 0.01410581 0.0004274488 0.00049321016 0.0006247329 0.0016440338 0.008548976 0.0002630454 0.062999375 0.0103574125 0.02528524 0.03205866 0.11629895 0.0058198795 0.005918522 0.023213757 0.023115115 0.003748397 0.001216585 0.013415316 0.005918522 0.021767007 0.025581166 0.0063130897 0.0024002893 0.06441324 0.013974288 0.043172326 0.018150134 0.021273797 0.0019728406 0.0034853516 0.0048334594 0.0004274488 0.0 0.0001315227 6.576135e-05 3.2880675e-05 6.576135e-05 5.175002 1.0 20.0 0.0 5.0 273400.0 294912.0 1.0 357.0 154.0 1.0 1.0 1.0 1.0 0.0 1539848000.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 5.0 51.0 14.0 14.0 6.0 0.0 6.0 0.0 147968.0 1024.0 4096.0 9.0 0.0 0.0 1.0 2.0 0.0 0.0 -1024.0 0.0 0.0 -3072.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 86528.0 0.0 0.0 0.0 0.0 9728.0 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 -147968.0 -10752.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.014213046 0.0 0.0 -4.1360207 0.0 0.0 0.0 0.0 0.0 0.0 -0.25630435 0.0 4.213325 0.0 0.0 0.0 0.0 5.026603 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.2169955 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.494378 -4.4585876 2.892932 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -777.0 0.0 0.0 -2620.0 0.0 0.0 0.0 0.0 0.0 0.0 -283.0 0.0 86352.0 0.0 0.0 0.0 0.0 9504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5977.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147763.0 -10288.0 1113.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -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 -2.0 -1.0 0.0 -1.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 3.0 -1.0 0.0 2.0 1.0 1.0 1.0 -1.0 0.0 -2.0 0.0 -2.0 0.0 1.0 1.0 0.0 -1.0 -2.0 4.0 -3.0 -1.0 0.0 -1.0 0.0 -2.0 1.0 -4.0 -2.0 -4.0 6.0 -5.0 -1.0 0.0 2.0 -1.0 1.0 -2.0 0.0 -2.0 0.0 1.0 0.0 1.0 -2.0 0.0 -1.0 0.0 0.0 3.0 -2.0 0.0 0.0 2.0 -3.0 1.0 -1.0 3.0 0.0 0.0 2.0 -1.0 -1.0 0.0 1.0 0.0 1.0 -3.0 0.0 2.0 -1.0 1.0 1.0 2.0 -1.0 0.0 0.0 1.0 1.0 -3.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 2.0 2.0 0.0 -1.0 2.0 1.0 2.0 1.0 -1.0 0.0 -2.0 0.0 -1.0 -2.0 -1.0 -1.0 0.0 -1.0 1.0 -2.0 1.0 0.0 0.0 1.0 -3.0 -3.0 0.0 -2.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 -1.0 2.0 0.0 29312.0 212688.0 140.0 268224.0 1113.0 286720.0 8376.0 253952.0 7160.0 266240.0 1620.0 290816.0 56.0 177872.0 0.0 0.0 0.0 0.0 40.0 178632.0 256.0 177936.0 0.0 0.0 1984.0 266240.0 0.0 0.0 0.0 0.0


Input: 0.18886848 0.009534334 0.0037199322 0.0042531868 0.0051141037 0.002447831 0.002550627 0.002030222 0.005467465 0.0025056538 0.0021073192 0.0017282587 0.0049470603 0.0020109478 0.0019017269 0.0023514598 0.003540039 0.0024799549 0.0017860815 0.002190841 0.0027497944 0.0050948295 0.0017539576 0.0018310547 0.0021779914 0.0022036904 0.0017539576 0.0017411081 0.0026983963 0.0015869141 0.001927426 0.002158717 0.0068359375 0.0024028576 0.0017539576 0.0017668072 0.0019916736 0.004940635 0.0017154091 0.0018182052 0.0027819183 0.0020687706 0.0019723992 0.002158717 0.0024799549 0.004060444 0.0019467003 0.0015033922 0.0036107113 0.0017218338 0.002499229 0.0022165398 0.0016832853 0.0017411081 0.0014905428 0.0016511616 0.0026791221 0.0016383121 0.0017154091 0.0020109478 0.0019081518 0.001535516 0.001509817 0.0017218338 0.012804533 0.008352179 0.0021394428 0.0024735301 0.0061035156 0.010260331 0.002133018 0.0037392064 0.0022036904 0.0036942333 0.0015290913 0.0017860815 0.002113744 0.008320056 0.0034500926 0.0018310547 0.008834036 0.0055702613 0.0048057153 0.0022165398 0.0020109478 0.0049277856 0.0024799549 0.001850329 0.005024157 0.0016897101 0.0015676398 0.0017668072 0.0017411081 0.002788343 0.0014455694 0.0017925062 0.0029361122 0.00364926 0.0020494964 0.0026855469 0.0037520558 0.0062962584 0.0025442024 0.0017732319 0.008332905 0.0035785877 0.0055252877 0.0022229645 0.0035593132 0.002704821 0.0035271896 0.0040283203 0.0032445004 0.0016061884 0.00481214 0.0034822163 0.0050755553 0.00312243 0.0016061884 0.0020494964 0.0034051193 0.001953125 0.0016832853 0.0015740646 0.0018824528 0.0019145765 0.001509817 0.001561215 0.004227488 0.005756579 0.002788343 0.0057951272 0.002242239 0.005711606 0.0015869141 0.0015226665 0.0028718647 0.006328382 0.0018182052 0.022968493 0.0020109478 0.015387285 0.001407021 0.0015162418 0.0021779914 0.0023835835 0.0016897101 0.0017668072 0.0019402755 0.0041118423 0.0016061884 0.0014969675 0.0023578845 0.0017475329 0.0016575863 0.0015997635 0.0017603824 0.0014905428 0.0018117804 0.0017154091 0.0028525905 0.0018696032 0.0014455694 0.001509817 0.0025120785 0.0015933388 0.0014905428 0.0016640112 0.0020944695 0.0015483656 0.0015933388 0.0015869141 0.0020944695 0.0016447369 0.0017411081 0.0015804893 0.0023643093 0.0015740646 0.0015740646 0.0016126131 0.0017860815 0.0015997635 0.0015804893 0.0018053557 0.002788343 0.0015676398 0.0015290913 0.0015483656 0.0016447369 0.0017925062 0.0017860815 0.0014519943 0.0030003597 0.0050691306 0.0026726974 0.003925524 0.0045230263 0.0015869141 0.005159077 0.0035079152 0.0024414062 0.0018310547 0.0016768606 0.0016575863 0.0052040503 0.001535516 0.0015997635 0.0016126131 0.0030646073 0.0015804893 0.0017154091 0.0015033922 0.0019338507 0.002704821 0.0039383736 0.0020944695 0.0020623459 0.0014648438 0.0017282587 0.0016640112 0.0022807873 0.0015804893 0.002004523 0.0018374794 0.0031866776 0.0019723992 0.0022229645 0.004426655 0.0029618114 0.0034179688 0.0019659745 0.0017603824 0.012084961 0.00260845 0.0025956004 0.0032701995 0.006745991 0.0021458676 0.0023386101 0.0022807873 0.006032843 0.0027305202 0.0026791221 0.004484478 0.0026405735 0.0018567537 0.001850329 0.0019017269 0.004657946 0.0018888775 0.0020430714 0.002653423 0.010292455 0.002814042 0.011808696 0.055599816 0.01986755 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005917581 4.527111e-05 6.467301e-05 1.9401905e-05 0.0050153923 0.0016879656 0.00011641142 6.1439365e-05 7.760762e-05 7.4373966e-05 5.173841e-05 3.5570156e-05 2.2635555e-05 9.700952e-06 2.2635555e-05 2.2635555e-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 0.015321037 3.5570156e-05 0.000601459 0.00031366412 0.0004850476 0.0003071968 0.0014713111 0.00083428185 9.377587e-05 4.527111e-05 6.1439365e-05 5.820571e-05 4.850476e-05 0.000119645076 5.820571e-05 1.2934603e-05 0.009675083 0.0005658889 0.0004850476 0.00045917838 0.00020695364 0.0004850476 0.0003071968 0.00020371999 0.00046241205 5.173841e-05 4.850476e-05 7.114031e-05 3.5570156e-05 6.467301e-05 5.820571e-05 6.467301e-05 0.0044753724 2.5869205e-05 4.203746e-05 1.6168253e-05 0.00013904698 2.2635555e-05 2.5869205e-05 1.9401905e-05 0.0003071968 1.6168253e-05 2.5869205e-05 6.1439365e-05 0.0002813276 4.203746e-05 0.0002425238 0.000879553 0.029225735 0.00097332883 0.0010121326 0.00039127172 0.0022506209 0.0011253104 0.0018852183 0.0012740584 0.0016588628 0.0003589352 0.00021988824 0.00013581333 0.0007178704 0.00043007554 0.0009700952 0.0037283993 0.016656535 0.0015230494 0.0020954057 0.0006176273 0.0034826417 0.0009862635 0.006331488 0.0037575022 0.00062086096 0.00029749586 0.0001843181 0.00021988824 0.00016814984 0.0015327504 0.00029102855 0.0009700952 0.020087438 0.0016297599 0.006376759 0.0020210317 0.0047987374 0.0018755174 0.007760762 0.0045368117 0.00091512315 0.0003945054 0.00044947743 0.00046887936 0.0005141505 0.0023120602 0.00329509 0.002166546 0.012313741 0.0013904698 0.0013290304 0.001138245 0.0048019714 0.0020210317 0.002425238 0.0012417219 0.003877147 0.0008407492 0.0009571606 0.0010800393 0.002832678 0.0012320209 0.006153637 0.00934525 0.049588032 0.0057526645 0.0038933153 0.0024640418 0.011337179 0.0099822795 0.008420426 0.0025254812 0.032439984 0.004223148 0.0036637262 0.002489911 0.009481064 0.0024478736 0.013345276 0.04986613 0.033393912 0.0041067363 0.004355727 0.0024575745 0.013581333 0.008358987 0.0070428913 0.0026968645 0.021798039 0.0027421357 0.0019563586 0.0022603218 0.009147998 0.0030687344 0.008924875 0.026425393 0.003249819 0.00044947743 0.0012190863 0.0010412355 0.0020986393 0.0010768056 0.0026612945 0.0016329936 0.0012740584 0.0004462438 0.00039773903 0.00039773903 0.0016135917 0.00052061776 0.0005335524 0.0012546565 0.020760037 0.021380898 0.020937888 0.020582186 0.022687294 0.02205673 0.02099286 0.02190475 0.020892616 0.021956488 0.020944355 0.020876449 0.0224286 0.021587852 0.022438303 0.021943554 768.0 14.029948 10775.0 0.04547564 0.010951276 0.0031554524 0.0026914154 0.0018561485 0.010023202 0.0014849188 0.004547564 0.003062645 0.003062645 0.005661253 0.001299304 0.0020417634 0.030162413 0.006960557 0.001763341 0.010301624 0.0016705337 0.002598608 0.002598608 0.0016705337 0.0016705337 0.0012064965 0.00092807424 0.0036194895 0.0019489559 0.002412993 0.0025058005 0.00287703 0.0025058005 0.0020417634 0.0021345709 0.0023201855 0.04139211 0.0049187937 0.0094663575 0.056798145 0.007888631 0.004640371 0.031461716 0.003526682 0.031183295 0.0010208817 0.0020417634 0.004640371 0.004176334 0.028770301 0.0047331788 0.03526682 0.005011601 0.00612529 0.0073317867 0.0053828307 0.002227378 0.002227378 0.004640371 0.029791184 0.004176334 0.0021345709 0.001299304 0.001299304 0.0019489559 0.0019489559 0.004547564 0.001113689 0.02914153 0.005939675 0.016426913 0.015962876 0.061809745 0.010301624 0.007238979 0.017447796 0.024315545 0.0023201855 0.004083527 0.022645012 0.013642691 0.025893271 0.03563805 0.01837587 0.0015777262 0.04102088 0.025429234 0.036566127 0.01512761 0.0025058005 0.005011601 0.014477958 0.00575406 0.003062645 0.0007424594 0.0013921114 0.00092807424 0.0013921114 0.0014849188 5.681257 0.0 0.0 0.0 5.0 155648.0 155648.0 0.0 0.0 104.0 0.0 0.0 0.0 0.0 0.0 1398355700.0 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 57344.0 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 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57344.0 0.0 69632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.9589562 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.1190906 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.801567 0.0 7.64441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10852.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -54969.0 0.0 67444.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 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 -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 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 4.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 -2.0 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 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 1.0 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 2.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -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 1.0 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 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 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 69400.0 67444.0 86016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 952.0 61440.0 0.0 0.0 0.0 0.0


Input: 0.18642902 0.019152647 0.02297833 0.009420067 0.02287888 0.007192825 0.012805778 0.005941516 0.0110103255 0.0077401153 0.011911671 0.0028887745 0.0055078375 0.004729861 0.0026709912 0.0046215984 0.0064444314 0.0057136617 0.0040110503 0.0044148304 0.0035757986 0.0028214254 0.0037649428 0.002501989 0.0032506974 0.0027235488 0.0016739722 0.002289556 0.002641408 0.0016318003 0.0022074152 0.0017731077 0.00838843 0.002493177 0.002755335 0.0021000972 0.002938185 0.003044244 0.004091932 0.0026816917 0.009194731 0.0027326755 0.004251808 0.0025910535 0.0042842235 0.002133457 0.0028613943 0.0012900193 0.0055868314 0.015551671 0.0023754733 0.004785251 0.0030008133 0.0022697288 0.0021309394 0.0021463605 0.0031597447 0.0055987905 0.0020233067 0.0049404055 0.0024960095 0.0019902615 0.0019037146 0.0026363726 0.005263304 0.0021753141 0.002433381 0.002356905 0.0027704414 0.0074770134 0.0022184302 0.0016834137 0.002941332 0.0024572995 0.0022111917 0.0018262946 0.002144472 0.0032362205 0.0018738167 0.0013148817 0.005366845 0.0012399794 0.0022760232 0.003267692 0.0016343181 0.0036034936 0.0029979807 0.0022168567 0.0024113508 0.0018294418 0.0010061457 0.0023433724 0.0016113438 0.002506395 0.0028138722 0.002498527 0.00255612 0.0022933325 0.0012635831 0.001250365 0.0022461251 0.004334263 0.001220467 0.001284669 0.0022980534 0.0028179635 0.0015619335 0.0010297494 0.0026999451 0.0015600452 0.002551714 0.008390003 0.004687374 0.00075185555 0.004302477 0.0031905868 0.0064368783 0.0044510225 0.001095525 0.0010555561 0.0019694902 0.001850213 0.0014854576 0.005921689 0.0016500539 0.004391227 0.0015229088 0.0010332114 0.00485795 0.0034606126 0.0014851429 0.0040497603 0.0023805087 0.005753316 0.001994038 0.0007169221 0.002101356 0.0062549724 0.00093187287 0.031225452 0.0017227532 0.005606973 0.0013173994 0.0007603529 0.008261285 0.0017460422 0.0037249739 0.0018338478 0.0025643026 0.0029979807 0.0020233067 0.0013202319 0.0013967078 0.0016094556 0.0009299846 0.000720384 0.0012015841 0.00088498025 0.0009126752 0.0006700295 0.002581612 0.0012679892 0.0020944322 0.0012887603 0.0018681518 0.0022259834 0.0013051255 0.001159727 0.0013331353 0.0011509149 0.0008147987 0.0012465885 0.0013923018 0.0006297459 0.00055169646 0.00058411213 0.0024126098 0.0009847451 0.0011981223 0.0008459555 0.0016988348 0.0014030022 0.0013369118 0.0008157428 0.002699001 0.0023468342 0.0018253505 0.00079465687 0.0012676744 0.0010278611 0.0011068548 0.001498361 0.005398002 0.00078553014 0.0018429746 0.0026351137 0.001530462 0.0007465054 0.0013731042 0.0022725614 0.0023663465 0.0014945844 0.00083494047 0.001179554 0.00759629 0.0007427288 0.0028645415 0.002009459 0.003588702 0.0007505967 0.0019191357 0.0008314786 0.0017620926 0.0006505171 0.0013759366 0.0010873424 0.002300571 0.0011682243 0.0011644477 0.00083462574 0.0020572958 0.0011502855 0.0017051292 0.00082675787 0.003045188 0.0015216499 0.0013570536 0.0012018989 0.0022923884 0.0012928516 0.001264842 0.0011823865 0.016371505 0.0025875915 0.0011109461 0.003144953 0.0037869727 0.0011244789 0.0010687741 0.0010719213 0.004274782 0.0020689403 0.0010939514 0.0010259729 0.0016380947 0.0007487084 0.0009841156 0.00064201985 0.0023128449 0.0019805052 0.0015109496 0.0007811241 0.0020434484 0.0013561095 0.0022357395 0.0419475 0.025527414 6.611158e-06 3.305579e-06 1.5740852e-07 1.8889024e-06 5.194481e-06 5.981524e-06 9.79081e-05 0.00013049167 2.0463108e-06 6.296341e-07 4.722256e-07 3.1481704e-07 0.0 0.0 7.398201e-06 0.004928933 1.0074145e-05 1.9518657e-05 2.0463109e-05 1.4009359e-05 6.7685664e-06 2.990762e-06 2.5027955e-05 2.675945e-05 2.4870547e-05 1.9046432e-05 7.0833835e-06 1.3694542e-05 5.8241153e-06 1.7787164e-05 1.5111219e-05 0.007095819 4.816701e-05 2.361128e-05 6.9889385e-05 1.4481585e-05 9.759328e-06 8.185243e-06 5.745411e-05 7.93339e-05 0.00010026923 7.38246e-05 2.0935335e-05 1.9833475e-05 1.5111219e-05 5.8241156e-05 4.2028078e-05 0.0031442354 1.6842712e-05 2.6916858e-05 5.635225e-05 1.9833475e-05 2.1722377e-05 3.4944693e-05 5.0842955e-05 2.6444632e-05 4.6278106e-05 2.8018718e-05 9.759328e-06 9.444511e-06 8.814877e-06 3.0222438e-05 1.5426036e-05 0.007229774 6.784307e-05 0.0001326954 0.00021202929 6.2806e-05 4.7537374e-05 7.319496e-05 8.4843196e-05 5.1629995e-05 0.0002509092 0.00012403792 7.02042e-05 4.8639235e-05 6.438009e-05 0.00010577853 7.775981e-05 0.004123946 0.00010861189 0.00017928831 0.00016512154 0.0004007621 0.0002675945 7.051902e-05 0.00010404704 4.5491066e-05 5.4935575e-05 3.8879905e-05 4.375957e-05 4.155585e-05 4.076881e-05 4.1083626e-05 7.634314e-05 0.014805216 0.0011242117 0.0013727598 0.0011637212 0.0001622882 0.00017645495 0.0006153099 0.00084465416 0.000103417406 0.00011538045 0.000102945174 6.64264e-05 0.00012325088 0.00016952898 0.00011868603 0.00021234411 0.019338582 0.0016666414 0.0025166476 0.0027675568 0.0021701914 0.0015583445 0.009530929 0.0058925883 0.00020777926 0.00016685303 0.00011490822 0.00010388963 0.00016496413 0.00017063084 0.00012262125 0.0002509092 0.04580824 0.005518743 0.006404953 0.0026417873 0.0019410045 0.0017996517 0.005420048 0.0063901567 0.0010242573 0.00060130056 0.00051567034 0.00049001275 0.00068047707 0.00075194053 0.00062711554 0.0009449234 0.05859674 0.010060294 0.008035548 0.0025654442 0.0017593551 0.0020622092 0.005513076 0.0066945846 0.0018684393 0.00086653396 0.00097231247 0.0013840932 0.0017275586 0.0015052977 0.0010823411 0.0016891509 0.027443862 0.0062898872 0.0031182629 0.0019386434 0.0016549933 0.0018317631 0.002152719 0.0026425743 0.0034732192 0.0010263036 0.0010028498 0.00084308005 0.0013375003 0.0009822292 0.0011383785 0.0011508138 0.013455438 0.0027266305 0.003215384 0.016244875 0.0025234162 0.0017404661 0.0018572632 0.0018462446 0.0019016524 0.001697651 0.0014667327 0.0015098626 0.0017373179 0.0016313819 0.0018190129 0.0026537504 0.018161323 0.003478099 0.0057043275 0.006623121 0.004902331 0.0027551213 0.0016364191 0.0018623003 0.0048477105 0.0022847848 0.0015569277 0.0022021453 0.0018204296 0.0018829207 0.0034659784 0.008705163 0.038197067 0.0074658864 0.0072475607 0.011014032 0.00968755 0.008665811 0.0036147295 0.0065946304 0.026330512 0.0062494334 0.003431506 0.0057875966 0.009088611 0.005800347 0.014530539 0.023270331 0.042944353 0.009945857 0.012824545 0.013545948 0.015228802 0.015052347 0.00600545 0.010198656 0.032194138 0.012099049 0.006828539 0.0077097123 0.016355375 0.008175641 0.018486844 0.02159881 0.006996809 0.0029166227 0.007018846 0.0035226454 0.0038483236 0.0036309424 0.0028231218 0.0024182673 0.0023285444 0.0072167087 0.0052221855 0.00301579 0.0025123975 0.001970912 0.001790522 0.0059524034 9224.0 15.756396 145337.0 0.019678403 0.002002243 0.0050503314 0.0018852735 0.0049815257 0.001988482 0.004974645 0.0014655594 0.003894397 0.0033921162 0.0015825289 0.0015481261 0.009102982 0.0023462712 0.01854311 0.0011146507 0.015570708 0.0146968765 0.0098185595 0.01154558 0.0114079695 0.0109263295 0.0104790935 0.010616705 0.011518058 0.010692391 0.008848401 0.009192429 0.011208433 0.01227492 0.008813998 0.00798145 0.0039219195 0.005538851 0.005621418 0.014380371 0.010265796 0.008518133 0.005827835 0.0058828793 0.0061099376 0.008724551 0.005697104 0.0026490157 0.007527333 0.00626131 0.0039700833 0.0048645562 0.008703909 0.00092887564 0.0076787053 0.011683191 0.0101763485 0.0037017416 0.0032476245 0.006866799 0.0071489024 0.003082491 0.0016926179 0.0020916904 0.0037774276 0.0026214935 0.0021260933 0.014235879 0.004706303 0.03465738 0.0069631273 0.01301114 0.024976434 0.069892734 0.0037223832 0.016382614 0.010231393 0.03240744 0.0015756483 0.003694861 0.028217178 0.01683673 0.038448572 0.043154873 0.013795524 0.00071557827 0.039549462 0.030928118 0.049072158 0.02124029 0.004066411 0.010458452 0.00577279 0.009770396 0.0024907629 0.0011215314 0.003708622 0.0018852735 0.0009219951 0.0009563979 5.944232 1.0 0.0 0.0 5.0 3177472.0 3186688.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1105638500.0 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 11.0 0.0 5.0 0.0 5.0 0.0 0.0 1024.0 0.0 4.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -87552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2740224.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5867696 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.816229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.4822025 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7493987 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -87316.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74164.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -274056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2740188.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1060.0 356352.0 0.0 0.0 0.0 0.0 87316.0 3096576.0 28.0 3096228.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 72.0 357424.0


Input: 0.13987406 0.011455389 0.00693351 0.006820561 0.014338946 0.004556546 0.0033739354 0.0028600728 0.009171245 0.0023618666 0.0020308474 0.002341737 0.008006526 0.0033085144 0.002341737 0.009871865 0.025419142 0.0016791396 0.0016511818 0.002083408 0.0051928633 0.0017792281 0.004364197 0.002824287 0.006199341 0.005681005 0.0013386147 0.0012983556 0.0037396222 0.0011512982 0.0011635995 0.001281581 0.00563124 0.0010914686 0.0016707522 0.0012810219 0.027592015 0.0012413219 0.0011417925 0.0011088024 0.0027857053 0.0011613629 0.0011020926 0.0021382049 0.002842739 0.0014241653 0.001506361 0.0011048884 0.004446952 0.0023657808 0.002472579 0.007893577 0.0034824111 0.0025648396 0.0023199301 0.0023255215 0.0037765263 0.0029344403 0.0023786412 0.0043664337 0.0034348832 0.0024172228 0.0020716656 0.0022925315 0.0044083702 0.0030887667 0.0023892652 0.0020118363 0.0129388245 0.0055350657 0.003975585 0.0025681944 0.0027980066 0.0016249015 0.0020973866 0.0012966782 0.00556526 0.003852012 0.0019771687 0.0015002103 0.011242351 0.0026252281 0.0015745778 0.0031927694 0.0031950062 0.0027650166 0.004969761 0.00406505 0.002072784 0.0030468302 0.0010903503 0.0023948567 0.002581614 0.0026056578 0.0036345012 0.003154188 0.0019184574 0.002475934 0.0014370258 0.0019290814 0.005234241 0.0037905052 0.0036311462 0.0013425288 0.005351663 0.0024172228 0.0064196475 0.0012167192 0.002817018 0.0014856722 0.0022047444 0.0029864416 0.0025821733 0.0012334938 0.004116492 0.0026772295 0.0106065925 0.0069575533 0.0018155731 0.0016847311 0.0023389412 0.0017842605 0.0012810219 0.0011904389 0.0030283781 0.0017579802 0.0017697224 0.002210895 0.003680352 0.0025542155 0.0013799921 0.012250505 0.006284891 0.006795958 0.0019279631 0.0016752254 0.002435675 0.010402502 0.0023618666 0.02821659 0.0024093946 0.013930763 0.0012195149 0.001415778 0.0018558322 0.0010741348 0.0018379393 0.0017781098 0.0017546254 0.0013056246 0.0011384375 0.00095391675 0.001651741 0.0010321983 0.00094776606 0.0010433814 0.0015471792 0.0010193378 0.000987466 0.0010299617 0.001840176 0.003594242 0.00091253937 0.0022148092 0.0015365552 0.0010506504 0.0009740463 0.00094273366 0.001855273 0.00095894915 0.0009891435 0.00096062664 0.001481199 0.0008683662 0.00095056184 0.00096398155 0.0019402645 0.001012628 0.00093434635 0.0011742235 0.0017954436 0.0011306094 0.001931318 0.0019441785 0.0034147536 0.0012211924 0.0011395559 0.0010327575 0.0019262856 0.0010758124 0.001317926 0.0011211038 0.007322122 0.0032397383 0.0034678732 0.003772053 0.007390339 0.0013084204 0.0048042512 0.010053589 0.0036792334 0.0024021256 0.0012810219 0.0013833471 0.023393327 0.001208891 0.0023115426 0.0016198691 0.0025312903 0.0013358189 0.0014057133 0.0012944415 0.0016399988 0.0009857885 0.0013660133 0.001078049 0.0022601006 0.0013559485 0.0009869068 0.0014839948 0.0019592757 0.0012385262 0.0010070364 0.0010472955 0.0022958864 0.0011814925 0.0010763715 0.0010797264 0.002091236 0.0014504455 0.0010506504 0.0010355533 0.017362291 0.0042697 0.0010595969 0.0037407405 0.0036579857 0.0011389968 0.0018491223 0.0015482975 0.0035159604 0.0018664561 0.0011904389 0.0023870284 0.0022271106 0.0012899684 0.0026420027 0.0019095109 0.0041629015 0.0020090404 0.0015667495 0.0017781098 0.0038100756 0.0035031 0.0038067205 0.040334016 0.0011461318 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00096760836 3.1339543e-05 1.2032146e-05 1.5389953e-05 2.0146848e-05 1.5669772e-05 2.6582647e-05 2.2385388e-05 5.036712e-06 3.0779906e-06 4.4770773e-06 8.39452e-06 2.7981735e-06 1.3990867e-06 1.9587214e-06 7.834886e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00200657 0.0003066798 9.51379e-05 1.678904e-05 5.9041457e-05 3.0779906e-05 0.00045498298 0.00023980346 1.5669772e-05 4.952767e-05 1.5949588e-05 1.0073424e-05 1.7068858e-05 1.678904e-05 1.7348675e-05 8.618374e-05 0.023906194 0.0048830924 0.0008789062 0.00031899175 0.0005649512 0.0002968862 0.0007734151 0.0005235382 0.00023532638 0.0005982495 0.00020398684 0.00026750538 0.0004116113 0.000507029 0.00018663816 0.003266028 0.015390793 0.0031524221 0.0020286757 0.000716892 0.0007778922 0.0004099324 0.004362352 0.0021408824 0.00022357405 0.00041273056 0.00018328035 0.00019950976 0.00015306009 0.00030444126 0.00044267104 0.0023387133 0.004476238 0.0011766319 0.00059125404 0.00028345495 0.0004919189 0.0005179419 0.0017189179 0.0009838378 0.00032346885 0.00016761059 0.000101293874 9.345899e-05 0.00023616583 9.122045e-05 9.5977346e-05 0.0012580587 0.0038961766 0.0007879656 0.0006144789 0.0010476361 0.001184187 0.00086435577 0.002507723 0.0011441731 0.00031535415 0.00011920219 6.967452e-05 6.93947e-05 0.00021685843 8.254612e-05 0.00010381223 0.00015697752 0.008470351 0.002132488 0.00163917 0.017218 0.0021050659 0.0017933493 0.002737173 0.0020407077 0.0021999239 0.0012116091 0.0012630954 0.0013476002 0.0018442761 0.0011729943 0.0015532661 0.0017007297 0.01683521 0.0042884806 0.002639237 0.0014595272 0.0027310173 0.0023616583 0.0022553278 0.002408108 0.0062998077 0.0007653004 0.0006799561 0.0010176956 0.0046281787 0.0006116807 0.0020253179 0.0040078238 0.09485192 0.024106544 0.022568388 0.011909585 0.024541939 0.022358244 0.012198636 0.015879914 0.050835814 0.004219086 0.005305057 0.0064176107 0.040845774 0.0048201336 0.018815197 0.03402243 0.045973428 0.01530377 0.012961978 0.007755977 0.01429111 0.014838434 0.00876136 0.010977514 0.027785301 0.0026202095 0.0035273773 0.0037641027 0.01960876 0.0046550413 0.011903429 0.020487105 0.011435854 0.0107046915 0.010819697 0.010818858 0.01087706 0.010739669 0.010871183 0.0106901415 0.01076933 0.010785839 0.010736591 0.010909518 0.0107192425 0.010711128 0.010764293 0.010712807 7976.0 11.546139 92092.0 0.04289189 0.0023454805 0.002367198 0.0028232636 0.02283586 0.0024649263 0.0018242627 0.0024540676 0.0074925073 0.0035073622 0.0021391653 0.0025192199 0.00780741 0.0031164489 0.011293055 0.0023454805 0.019122181 0.014257481 0.013160752 0.015137037 0.015766842 0.012911002 0.012617817 0.012074881 0.015473656 0.0133453505 0.011510229 0.011933719 0.014974156 0.010565521 0.009870565 0.013942579 0.020164618 0.009685966 0.0044846456 0.008285193 0.016809277 0.0086543895 0.0047452548 0.0042348956 0.005733397 0.004386917 0.0021608826 0.0029752855 0.007177605 0.0035725145 0.003149025 0.0023454805 0.016136037 0.004397776 0.004332624 0.0130087305 0.009164749 0.007155888 0.014387786 0.0115428055 0.0053099073 0.0066020936 0.0029101335 0.0069604306 0.006167745 0.0066672456 0.0064174957 0.012064023 0.004777831 0.024138905 0.008871563 0.016776701 0.018535811 0.044965904 0.009349346 0.0068301265 0.01149937 0.025876297 0.007514225 0.003930852 0.019285062 0.010587239 0.022488382 0.029655127 0.011868566 0.002475785 0.034715284 0.020077748 0.03457412 0.012020588 0.0063740606 0.0047669723 0.0069604306 0.0060265823 0.0020305782 0.002106589 0.0045389393 0.0023237632 0.0021391653 0.0032358945 6.1616373 0.0 2.0 2.0 13.0 1788416.0 1835008.0 1.0 3.0 227.0 1.0 1.0 0.0 0.0 0.0 1541619800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 6.0 0.0 6.0 0.0 1514496.0 4096.0 4096.0 9.0 0.0 0.0 2.0 3.0 -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 0.0 45568.0 0.0 0.0 0.0 0.0 7168.0 0.0 0.0 0.0 0.0 0.0 0.0 50688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1513984.0 0.0 0.0 0.0 151040.0 0.0 0.0 -2.4748113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.9133573 0.0 0.0 0.0 0.0 7.9767485 0.0 0.0 0.0 0.0 0.0 0.0 7.0623336 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.492445 0.0 0.0 0.0 7.629732 0.0 0.0 -340.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 45522.0 0.0 0.0 0.0 0.0 15660.0 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 0.0 0.0 0.0 0.0 -1517644.0 0.0 0.0 0.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 3.0 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 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 -1.0 0.0 0.0 0.0 0.0 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 -1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -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 1.0 0.0 0.0 -2.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 0.0 1.0 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 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1632.0 193664.0 140.0 1606564.0 436.0 217088.0 0.0 0.0 0.0 0.0 60628.0 1683456.0 56.0 152032.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 185760.0 0.0 0.0 932.0 1605632.0 0.0 0.0 0.0 0.0


Input: 0.33600262 0.022851562 0.026106771 0.004166667 0.022591146 0.0046223956 0.010677083 0.006315104 0.0049479166 0.003125 0.031315103 0.002018229 0.00234375 0.0025390624 0.0026041667 0.0010416667 0.0025390624 0.0036458333 0.0034505208 0.002018229 0.0016927083 0.0018880208 0.004296875 0.0021484375 0.0013671875 0.0015625 0.0015625 0.0028645834 0.002018229 0.00052083336 0.00091145834 0.008398438 0.016471354 0.00071614585 0.0028645834 0.0016927083 0.00045572917 0.00032552084 0.00032552084 0.0008463542 0.0067708334 0.0006510417 0.001953125 0.0005859375 0.0016927083 0.003059896 0.008919271 0.0025390624 0.005533854 0.0033854167 0.0025390624 0.0036458333 0.002734375 0.0017578125 0.0005859375 0.0009765625 0.0012369792 0.0016276041 0.0014973958 0.00091145834 0.0018229167 0.001953125 0.0014973958 0.0009765625 0.005989583 0.0048828125 0.0036458333 0.0045572915 0.001953125 0.0013020834 0.0028645834 0.0014322917 0.0020833334 0.0028645834 0.0014973958 0.00045572917 0.0024739583 0.0016927083 0.0011067708 0.00078125 0.0033854167 0.0013020834 0.0022786458 0.0044921874 0.0033854167 0.0013020834 0.0015625 0.00071614585 0.00045572917 0.0005859375 0.0001953125 6.510417e-05 0.0008463542 0.00013020834 0.0 0.003971354 0.0006510417 0.014713542 0.0067708334 0.009114583 0.0064453124 0.03470052 0.00234375 0.006315104 0.004036458 0.0171875 0.00026041668 0.001953125 0.012239584 0.008919271 0.016015625 0.034505207 0.009765625 0.0006510417 0.020572918 0.022721354 0.024869792 0.01015625 0.0020833334 0.0018880208 0.0022786458 0.0048828125 0.00091145834 0.014973958 0.0 0.0020833334 0.0010416667 6.510417e-05 0.003125 0.0017578125 0.0 0.0006510417 0.0 0.00026041668 0.00026041668 0.0001953125 0.0 0.00026041668 6.510417e-05 0.0001953125 0.000390625 0.00013020834 6.510417e-05 0.00071614585 0.00032552084 0.00071614585 6.510417e-05 0.000390625 0.00013020834 6.510417e-05 6.510417e-05 6.510417e-05 0.0001953125 0.000390625 0.00013020834 0.000390625 0.0001953125 0.00013020834 6.510417e-05 0.0 0.00013020834 0.00045572917 0.0001953125 0.0001953125 0.0 0.00026041668 0.0 0.000390625 0.00026041668 0.0005859375 0.0 6.510417e-05 0.00032552084 6.510417e-05 6.510417e-05 6.510417e-05 0.00013020834 0.00045572917 6.510417e-05 0.0001953125 0.00026041668 0.00013020834 6.510417e-05 0.0001953125 0.00013020834 0.00032552084 0.00026041668 0.00013020834 0.0 0.0010416667 0.00013020834 0.0001953125 0.0 0.00026041668 6.510417e-05 0.0 0.00013020834 0.0001953125 0.0001953125 6.510417e-05 0.00013020834 0.00013020834 0.0001953125 6.510417e-05 0.0001953125 0.00032552084 0.00013020834 0.00013020834 0.00026041668 0.00032552084 0.00013020834 0.00032552084 6.510417e-05 0.0001953125 0.0001953125 0.0 0.00032552084 0.0010416667 6.510417e-05 6.510417e-05 6.510417e-05 0.0001953125 0.00013020834 0.001171875 0.00052083336 0.002734375 0.00013020834 6.510417e-05 0.0 0.00013020834 0.00013020834 6.510417e-05 6.510417e-05 0.0001953125 0.00026041668 0.0 6.510417e-05 0.0001953125 0.0001953125 0.00026041668 0.0 0.000390625 0.0001953125 0.0 0.00032552084 0.00026041668 6.510417e-05 0.00013020834 0.00013020834 0.00026041668 6.510417e-05 0.000390625 0.0001953125 0.00032552084 0.0009765625 0.00026041668 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.2327009 0.022147043 0.018345425 0.017194476 0.0154157365 0.005719866 0.06026786 0.05207171 0.0007324219 0.00031389509 0.00031389509 0.00038364955 0.0004185268 0.000906808 0.0002092634 0.0014299665 0.09232003 0.0087890625 0.0076032365 0.0044294083 0.0033482143 0.002859933 0.0048479354 0.0068010604 0.002546038 0.0011858259 0.0008370536 0.0017089844 0.00059291295 0.0018833706 0.0021275112 0.0009765625 0.06365095 0.0017787388 0.009347098 0.0036621094 0.012869699 0.009172712 0.07094029 0.038120814 0.0009765625 0.00052315847 0.00069754466 0.000453404 0.00024414062 0.0006626674 0.00055803574 0.00062779017 0.06406947 0.0059291297 0.006312779 0.0042898995 0.0067313057 0.00516183 0.025739398 0.013602121 0.0029645648 0.0012555803 0.0010114397 0.0008719308 0.0006626674 0.0011858259 0.0021623883 0.000906808 0.017299106 0.0023018974 0.0077078682 0.0035226005 0.0023367745 0.0031040737 0.020228794 0.011893136 0.0012207031 0.00013950893 0.00031389509 0.0004185268 0.00027901787 0.0002092634 0.00024414062 0.0002092634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 217.0 19.972351 4334.0 0.036917396 0.0006922012 0.006922012 0.0036917396 0.00023073373 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0039224736 0.0043839407 0.020766037 0.0013844024 0.0073834793 0.005306876 0.0013844024 0.0055376096 0.0032302723 0.0016151362 0.0011536686 0.0011536686 0.0013844024 0.0020766037 0.0016151362 0.0 0.0027688048 0.0041532074 0.0027688048 0.00046146745 0.00046146745 0.012459622 0.008306415 0.01361329 0.0057683433 0.0027688048 0.0064605447 0.002538071 0.0041532074 0.0036917396 0.003461006 0.0006922012 0.003461006 0.0032302723 0.0016151362 0.0011536686 0.005999077 0.0 0.006922012 0.01361329 0.007614213 0.0023073372 0.0027688048 0.0018458698 0.0006922012 0.0 0.0 0.0 0.0020766037 0.0 0.0 0.012690355 0.00023073373 0.041070603 0.019612368 0.029303184 0.020304568 0.10521458 0.0066912784 0.01661283 0.010383018 0.050530687 0.00046146745 0.0057683433 0.036686663 0.026534379 0.045916013 0.0588371 0.019612368 0.0009229349 0.054914627 0.055837564 0.077988 0.03137979 0.0048454083 0.0057683433 0.0057683433 0.01545916 0.0020766037 0.0 0.0 0.0 0.0 0.0 5.1504254 1.0 0.0 0.0 1.0 15360.0 40960.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 2602499300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 12800.0 512.0 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 -12800.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 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 -5.3807216 0.0 4.2669787 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 -12748.0 0.0 1420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 20852.0 1420.0 24576.0 0.0 0.0 0.0 0.0 12.0 32768.0 56.0 20712.0 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