Input: 0.21944319 0.06781224 0.092919484 0.10658264 0.10382952 0.1073979 0.0009416853 0.0008261544 0.0009373256 0.0007367815 0.00096566335 0.0012642996 0.0010724749 0.00079345703 0.00084577285 0.0014910017 0.001109532 0.00093296595 0.0008370536 0.000806536 0.0010288784 0.0012839182 0.0010899135 0.0007498605 0.0010746547 0.0011008127 0.0010790144 0.0008370536 0.0013405936 0.0008588518 0.00079563685 0.000869751 0.0011553083 0.00091770716 0.0009940012 0.00082833425 0.003047398 0.0008719308 0.0009416853 0.0007912772 0.0008806501 0.0009591239 0.000819615 0.000806536 0.0013122559 0.0009264265 0.0010114397 0.00071280345 0.0008806501 0.001146589 0.0009133475 0.0009569441 0.0009242467 0.0009765625 0.0010681152 0.001159668 0.0010136196 0.0007324219 0.00083487376 0.0008871896 0.0012577602 0.0009111677 0.0010942732 0.00096566335 0.0058026994 0.001033238 0.00097220286 0.0010484968 0.0016915457 0.0012773786 0.00080217636 0.0008915492 0.000906808 0.00080217636 0.0007825579 0.0011226109 0.0013013567 0.0010245187 0.0008392334 0.0011008127 0.001209804 0.0009133475 0.0010027204 0.001059396 0.0012403216 0.0009918213 0.0010702951 0.0012381418 0.00093078613 0.0009525844 0.0009743827 0.0010572161 0.0015433176 0.00090026855 0.0009024484 0.0010484968 0.0010179792 0.0009591239 0.001349313 0.0009787424 0.0010179792 0.0089852465 0.0009896414 0.0014408657 0.0089765275 0.0011771066 0.010369437 0.00086103164 0.0010223389 0.00083269394 0.00091770716 0.0009416853 0.00091552734 0.00069754466 0.01071821 0.0010986328 0.002659389 0.0008871896 0.0014408657 0.008486067 0.0012795584 0.001209804 0.0009242467 0.00080217636 0.001323155 0.0007694789 0.0010114397 0.0012642996 0.00088282995 0.0009438651 0.0008893694 0.0012751988 0.0011356899 0.0007890974 0.0009242467 0.0010049002 0.00088282995 0.0018702915 0.0011705671 0.0018877302 0.0010049002 0.00091552734 0.0009133475 0.0008544922 0.0009852818 0.0008392334 0.0010375977 0.0011705671 0.0011705671 0.0009024484 0.00125994 0.0011226109 0.00077819824 0.0008414132 0.00093514577 0.0012664795 0.001146589 0.0010310581 0.0009765625 0.00093296595 0.0010877337 0.000869751 0.0014779227 0.0011182512 0.0008959089 0.0008741106 0.00096348353 0.0010855539 0.0008392334 0.0006997245 0.00088500977 0.000869751 0.0007760184 0.0009940012 0.0011182512 0.00084577285 0.0008370536 0.0007847377 0.0011923654 0.0014583042 0.0010768345 0.000856672 0.001109532 0.0011880057 0.001222883 0.0008414132 0.0011204311 0.0007847377 0.0009852818 0.0008915492 0.00083269394 0.0008239746 0.0011029924 0.0009852818 0.0010506766 0.0011204311 0.0008588518 0.0011705671 0.0011444092 0.0011509487 0.0011029924 0.0010375977 0.00091770716 0.0008937291 0.0008261544 0.00085013255 0.0007694789 0.000869751 0.0009613037 0.0009983608 0.0009373256 0.00093296595 0.0008719308 0.0010724749 0.0010114397 0.0010484968 0.0010506766 0.0010027204 0.00085231237 0.0009961809 0.0011553083 0.0009525844 0.0010288784 0.0007367815 0.000983102 0.0010354178 0.00089808874 0.0011771066 0.0009046282 0.0009460449 0.0006997245 0.0011400495 0.0011792864 0.0009940012 0.00083487376 0.0009743827 0.00096784317 0.00076293945 0.0008588518 0.0007564 0.0009264265 0.000856672 0.0014604841 0.000919887 0.0010005406 0.00081743515 0.0008784703 0.0010375977 0.0010811941 0.0009373256 0.00079563685 0.00093514577 0.0010877337 0.00081307546 0.00093296595 0.0016828264 0.3667604 1.31082215e-05 9.831166e-06 7.646462e-06 1.5292924e-05 9.831166e-06 1.0923518e-05 8.738814e-06 7.646462e-06 1.0923518e-05 5.461759e-06 8.738814e-06 4.369407e-06 5.461759e-06 7.646462e-06 4.369407e-06 0.021512777 6.226405e-05 5.680229e-05 4.915583e-05 5.024818e-05 6.444876e-05 5.570994e-05 6.11717e-05 5.7894646e-05 5.7894646e-05 5.1340536e-05 4.915583e-05 6.007935e-05 6.5541106e-05 5.570994e-05 6.11717e-05 0.0083695995 3.2770553e-05 4.0417017e-05 2.512409e-05 4.1509367e-05 3.8232312e-05 3.8232312e-05 3.4955257e-05 3.4955257e-05 4.1509367e-05 4.369407e-05 3.3862907e-05 6.3356405e-05 4.1509367e-05 3.1678203e-05 3.7139962e-05 0.022042567 0.00016931453 0.00013763632 0.00019990037 0.00020208508 0.00022939387 0.00034081377 0.00024577914 0.00011578929 0.00014091338 0.000112512236 0.00017040689 0.00011688164 0.00013872868 0.00012125105 0.0001245281 0.018919533 0.00016822218 0.00018023804 0.00019880802 0.00019553097 0.0001835151 0.000530883 0.000453326 0.00015074454 0.00020645448 0.00019662332 0.00020099273 0.00018460746 0.00021956272 0.00018460746 0.00019771568 0.021954086 0.00032005907 0.00032115143 0.00035282964 0.00034736787 0.00033972142 0.0003244285 0.00036375315 0.00025888736 0.00031896672 0.00036156844 0.00034299845 0.0003058585 0.00032989023 0.00031568966 0.00028838086 0.056529205 0.00037686137 0.00035064493 0.00035282964 0.0004030778 0.00040853958 0.025235511 0.018622413 0.00031350498 0.00043147895 0.00036375315 0.0003713996 0.000335352 0.00035610667 0.00036593786 0.00032879788 0.0178818 0.0004118166 0.00047626538 0.00043475602 0.00047298832 0.0004686189 0.0006051629 0.00047189597 0.0004030778 0.00052979065 0.00036156844 0.00041618603 0.00042274015 0.00041400132 0.0004008931 0.00043694073 0.01989828 0.0006641499 0.0005570994 0.0005865929 0.00066742697 0.0006455799 0.00058331585 0.00061717874 0.00055273 0.0006717963 0.0005887776 0.00062482525 0.00058331585 0.0006346564 0.00058331585 0.00062373286 0.065968215 0.0026391218 0.0026227366 0.0025659343 0.0070533156 0.0026260137 0.0029646428 0.0030192602 0.002450145 0.002549549 0.0022338594 0.0021005925 0.0021748724 0.0022742765 0.0020579908 0.0020820226 0.014014874 0.000670704 0.000751538 0.000652134 0.00069473573 0.0007089363 0.00073078333 0.00075699977 0.00077666214 0.0007056593 0.0007001975 0.00071658276 0.00069692044 0.00066305755 0.0006543187 0.00071439805 0.015005637 0.0009448843 0.0008564038 0.00090883666 0.0009153908 0.0009918554 0.0008946361 0.00097110076 0.0008542191 0.0009798396 0.000947069 0.00104975 0.0009721931 0.00092959136 0.00092631433 0.0009350531 0.01626621 0.0012878828 0.0011589852 0.0012933445 0.0012452811 0.001415688 0.0012966216 0.0013807326 0.0011633546 0.0013632551 0.0013632551 0.001403672 0.0013108222 0.001316284 0.0012551122 0.0012736822 0.013606334 0.0014517355 0.002399897 0.001580633 0.0021213472 0.0017925493 0.0014768597 0.0016297889 0.0028707006 0.0015205537 0.0014648438 0.0015249231 0.0016789447 0.001599203 0.0016494512 0.0019006921 0.018087162 0.0029329646 0.0034212458 0.0028543153 0.003362259 0.0032300842 0.0030247222 0.0029635504 0.003810123 0.0030607698 0.002794236 0.002989767 0.0032595778 0.0028510382 0.0028772545 0.0033578894 0.010630768 0.003667025 0.0036462704 0.0036845026 0.0036386237 0.0038854952 0.0037806295 0.003944482 0.0035545127 0.0038330625 0.003843986 0.004024224 0.0037041649 0.0037981072 0.0036506397 0.0038276007 1229.0 7.243287 8902.0 0.003594698 0.0020220175 0.002583689 0.0026960233 0.004493372 0.0026960233 0.0026960233 0.002583689 0.0019096832 0.0026960233 0.0028083576 0.0028083576 0.0033700292 0.002583689 0.004493372 0.0013480117 0.002246686 0.0042687035 0.0049427096 0.0034823634 0.002583689 0.0037070322 0.004493372 0.0059537184 0.0026960233 0.0024713548 0.0037070322 0.0031453606 0.0033700292 0.003257695 0.0053920466 0.0037070322 0.0033700292 0.0037070322 0.005055044 0.0049427096 0.0048303753 0.004044035 0.0034823634 0.005055044 0.0031453606 0.0033700292 0.0026960233 0.0053920466 0.0037070322 0.0038193665 0.002920692 0.0038193665 0.0042687035 0.003257695 0.0038193665 0.0034823634 0.0031453606 0.0031453606 0.0034823634 0.0042687035 0.0020220175 0.002246686 0.0039317007 0.0021343518 0.005167378 0.0020220175 0.002246686 0.002920692 0.0020220175 0.005841384 0.0042687035 0.0023590205 0.005841384 0.0923388 0.0038193665 0.005055044 0.08391373 0.0064030555 0.17479219 0.002246686 0.007751067 0.0028083576 0.0037070322 0.003257695 0.0039317007 0.002246686 0.16861379 0.004493372 0.085598744 0.0042687035 0.004381038 0.07739834 0.0030330264 0.002583689 0.0038193665 0.002246686 0.002583689 0.0021343518 0.0034823634 0.0030330264 4.641776 0.0 0.0 0.0 11.0 458752.0 471040.0 0.0 0.0 19.0 0.0 1.0 0.0 0.0 0.0 1542210300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 212992.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.8293076 0.0 0.0 0.0 0.0 0.0 4.516845 0.0 0.0 -4.815995 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.862891 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7201025 0.0 3.0822277 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 210356.0 0.0 0.0 0.0 0.0 0.0 1042.0 0.0 0.0 -144656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45600.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48346.0 0.0 728.0 0.0 0.0 0.0 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 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 300.0 102532.0 728.0 466944.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 132.0 102400.0 0.0 0.0 0.0 0.0


Input: 0.10346602 0.009856853 0.0074957446 0.0072093937 0.004974355 0.0051219827 0.015580595 0.004222156 0.004575057 0.0041415463 0.003712254 0.0033420129 0.0038177026 0.0033645085 0.0035215097 0.003088468 0.004447113 0.0030805008 0.0037197527 0.0031493937 0.003647579 0.0032534362 0.0031873551 0.0032225046 0.011968633 0.0029778644 0.0026455845 0.0025495093 0.002921625 0.0024304697 0.0026676115 0.0028428903 0.0060672695 0.0031831372 0.0026376173 0.002428595 0.004698783 0.0031817313 0.0029338102 0.0024220338 0.0029197505 0.0027566568 0.002736973 0.0025115479 0.0028241437 0.002508267 0.0043782196 0.0023700125 0.0036433612 0.0027664986 0.0027201013 0.0022130115 0.0031934478 0.0027552508 0.0058769938 0.0040229755 0.0029000668 0.0024140666 0.0019721203 0.0021413066 0.0029586493 0.002197077 0.002381729 0.0027458777 0.0043097953 0.0035079184 0.0037019437 0.0035749369 0.003292335 0.002934279 0.0031967284 0.0028232066 0.0033921595 0.0032988961 0.0029647418 0.0024004753 0.0030983097 0.0029628673 0.0026427726 0.0025134224 0.0053174137 0.0022537848 0.0025715362 0.0033017083 0.0033251413 0.0050282506 0.0029820823 0.00262965 0.0027754032 0.0019716518 0.0021178736 0.0031067457 0.0025199836 0.0020691329 0.0022533163 0.008847828 0.0034985454 0.0073935767 0.0028213318 0.0034863602 0.0046865977 0.006523744 0.007094572 0.0027927437 0.0033813803 0.005165568 0.0019786817 0.0027927437 0.008306057 0.003722096 0.0054626986 0.005104174 0.004785485 0.0022223848 0.0044930414 0.009400846 0.007698674 0.0041415463 0.0030148884 0.0025129537 0.0031409578 0.0026526144 0.002066321 0.0018746392 0.0023442362 0.0019191618 0.002846171 0.0027360357 0.0043261983 0.003377631 0.0028756964 0.0028578874 0.0039264318 0.0029731777 0.0029844255 0.0023629826 0.0027552508 0.0038200459 0.0023737617 0.0032829617 0.0022678447 0.0027154149 0.0023287705 0.0035097932 0.003388879 0.0020864734 0.0026549576 0.0019238484 0.0020817867 0.0024885836 0.002107563 0.0019847741 0.0021113122 0.0018005909 0.0018221493 0.006196151 0.0019135379 0.0016215629 0.0023311137 0.0025513838 0.0029033474 0.0031470505 0.0019646217 0.0021356826 0.0022008263 0.0019355649 0.0022228532 0.0018413643 0.0025682556 0.0019088513 0.0042783953 0.0018034028 0.0018994781 0.0029567746 0.0020410134 0.0018854183 0.0028925682 0.0019154125 0.0015976612 0.005514251 0.002150211 0.0035838413 0.0033452935 0.0020742882 0.0029698971 0.0018366777 0.0020925659 0.001998834 0.0019646217 0.0017916864 0.0022158234 0.0031222114 0.004566152 0.0030125452 0.002865386 0.002526545 0.0022884656 0.0019861802 0.0026034052 0.0023123673 0.003949865 0.0021141244 0.0016796767 0.0017391965 0.0017377905 0.005989472 0.0017434144 0.0023015882 0.0028068034 0.00209116 0.0020531984 0.0019135379 0.001946344 0.0017359158 0.002666674 0.0018333971 0.0025302942 0.0057931035 0.001976807 0.0021830173 0.0023095554 0.0021483365 0.002199889 0.0031789192 0.0034394942 0.0025368554 0.0019707144 0.0018708898 0.0019810249 0.0015311115 0.0022050443 0.0019964906 0.0021806739 0.0019186932 0.001748101 0.0027191641 0.001794967 0.002047106 0.0018399584 0.0018840124 0.0029033474 0.0020419506 0.0013900449 0.002385947 0.0017499756 0.0016417152 0.0020874108 0.0019130693 0.0025035806 0.0019369709 0.0017302919 0.0017546623 0.0022945583 0.0017448204 0.0021263093 0.10737605 0.0028818443 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00088885013 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.1764676e-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 0.013419292 1.8762007e-06 1.1726255e-06 1.4071505e-06 1.1726255e-06 3.0253737e-05 7.0357527e-07 7.504803e-06 1.6416757e-06 2.3452509e-07 1.4071505e-06 0.0 0.0 7.0357527e-07 2.579776e-06 0.037442636 0.003009426 1.289888e-05 4.3152617e-05 1.4775081e-05 1.9934632e-05 7.3640884e-05 7.5517084e-05 0.00025844664 6.0976527e-06 2.110726e-06 3.9869265e-06 5.394077e-06 5.394077e-06 3.2833514e-06 4.221452e-06 0.0036663308 0.009870223 0.0019348321 0.00027345627 8.6774286e-05 8.372546e-05 0.0004812455 0.00021365237 0.0006611262 6.285273e-05 5.3237196e-05 5.112647e-05 0.0001756593 0.000172845 3.916569e-05 6.660513e-05 0.010749457 0.043050833 0.003677588 0.001957581 0.00062196056 0.000644475 0.0011780196 0.0017071082 0.0024303836 0.00082365214 0.00053119933 0.00060319854 0.0009296575 0.0008961204 0.00039775457 0.00046600137 0.015973035 0.018720966 0.0028940397 0.0009451361 0.00040174148 0.00063697016 0.002038023 0.0047362344 0.004108645 0.0010912453 0.0002811956 0.00026993838 0.0006815299 0.0012901225 0.00038743546 0.00026313716 0.017449604 0.013331579 0.0014702379 0.0017429906 0.0010356628 0.0027962427 0.0062981714 0.017035903 0.009610838 0.00030019213 0.00015783538 0.00011093037 0.00058467104 0.0003177815 0.0001953594 0.00022655124 0.00818563 0.0065387944 0.0012352436 0.0010307378 0.000700761 0.00076502084 0.0011712183 0.0035059156 0.0024465658 0.00038579377 0.00015713181 0.00014610913 0.00031543625 0.00042777378 0.00015173774 0.00014212221 0.00633593 0.0019484345 0.0010269854 0.0015858588 0.0001280507 0.0015638133 0.0035033359 0.00026313716 0.00047233354 0.0006630024 0.0011376812 0.0034834011 0.00023991917 0.00021060354 0.00011984233 0.00013039596 0.0036961155 0.000373833 0.00021834286 4.4090717e-05 4.6670495e-05 6.0038423e-05 6.566702e-05 6.7308705e-05 0.00023687034 6.3556305e-05 6.895038e-05 5.88658e-05 7.8096855e-05 5.5347922e-05 5.3471722e-05 5.7224122e-05 0.0013335097 2.4156085e-05 1.8762008e-05 5.018837e-05 7.739328e-06 5.3471722e-05 0.000113744674 5.159552e-06 8.677429e-06 1.9465582e-05 3.6820442e-05 0.00011139942 4.221452e-06 6.8012278e-06 3.9869265e-06 7.973853e-06 7.739328e-06 0.00016205684 2.6735861e-05 2.3687035e-05 1.5244132e-05 2.6735861e-05 2.1810834e-05 2.626681e-05 2.626681e-05 3.541329e-05 9.381004e-06 1.0788154e-05 1.3133405e-05 1.8762008e-05 1.8762008e-05 2.2748934e-05 2.2514409e-05 0.00045122628 0.00027533245 0.00033349468 0.000621257 0.00047960383 0.00042378684 0.00019019985 0.00014681272 0.00021435594 0.0002019261 0.00028166463 0.00014282578 0.00018433672 0.00011984233 0.00014564008 0.00011046132 0.07283693 0.04595308 0.042558566 0.04324127 0.043474153 0.037605863 0.046168376 0.037333347 0.04509894 0.036456224 0.032586794 0.037921067 0.039859653 0.037900195 0.032150343 0.03264003 18656.0 9.260667 172767.0 0.0059502106 0.0033050294 0.0031892664 0.0025872996 0.016675638 0.006152795 0.002645181 0.0028998593 0.0029114357 0.0025004775 0.0023210451 0.0021705534 0.0027956727 0.0025757235 0.022805281 0.0024715369 0.005782354 0.00414431 0.005805507 0.003970666 0.0066332114 0.005325091 0.007715594 0.00632644 0.0042716493 0.0034034278 0.0020605787 0.0022978925 0.003293453 0.001910087 0.0020895195 0.0025294183 0.0059907273 0.0075882548 0.00632644 0.009851418 0.008172857 0.0047752173 0.0058691762 0.006094914 0.0054524303 0.010708064 0.0044510816 0.002963529 0.0075419494 0.008705366 0.004306378 0.0046941834 0.01673352 0.0024889011 0.0064537786 0.01212037 0.012050913 0.021688169 0.0040748524 0.0042137676 0.003293453 0.002153189 0.0023036806 0.0031719021 0.0026625455 0.0020026972 0.0018406293 0.07959853 0.0034728853 0.060335595 0.008433323 0.019511828 0.030572968 0.05717527 0.0113737 0.012843888 0.011923573 0.03777342 0.002923012 0.0069226185 0.027186904 0.019083505 0.029235907 0.029733688 0.020165889 0.0021068838 0.031082325 0.025653047 0.057267882 0.01561062 0.007304636 0.0073798816 0.009776172 0.007356729 0.00535982 0.0017711716 0.0024715369 0.0017306546 0.0018869344 0.0027146388 5.778652 1.0 0.0 0.0 16.0 2133744.0 21889024.0 0.0 0.0 10.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 30.0 4.0 0.0 4.0 0.0 1454080.0 4096.0 4096.0 3.0 1.0 0.0 2.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1452032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.8985114 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.2634294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1454080.0 0.0 0.0 0.0 0.0 0.0 20054016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 376832.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74.0 20979712.0 600.0 21888048.0 375856.0 21512192.0 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 21510080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.14733273 0.01633432 0.005278266 0.004138527 0.021777427 0.0069121146 0.0019460485 0.001471504 0.015734062 0.006747689 0.001323313 0.0011905237 0.0058831023 0.002048034 0.00077633804 0.014650103 0.0054064766 0.0009778113 0.0009948782 0.0008050605 0.004839937 0.002663693 0.0026008366 0.0005024343 0.0040781684 0.0006285632 0.00066519476 0.00052116637 0.0058164997 0.0011026914 0.0007367927 0.00094659126 0.006169494 0.0004724631 0.00053531944 0.0006135776 0.046975322 0.0015077193 0.0034250454 0.0005053482 0.0030558165 0.0013503704 0.00042750625 0.00057902746 0.0032756054 0.0006722713 0.0016625706 0.00088373496 0.0069762194 0.0025038463 0.0008387781 0.0008641704 0.0030191848 0.0008579264 0.00047287936 0.00039628622 0.002525492 0.002696578 0.00094201235 0.0011355765 0.0026986592 0.0028734915 0.00060941494 0.0008779072 0.0058123367 0.0036656477 0.0026570326 0.004528569 0.019397628 0.012388524 0.0019031729 0.0024122675 0.0028988838 0.0011405717 0.001111433 0.0009886342 0.0042709 0.0028147977 0.0015722406 0.0011634664 0.0039595324 0.001041084 0.0013516191 0.0036710592 0.0062577426 0.0033909115 0.002526741 0.0018344889 0.0029138695 0.0007563572 0.000745118 0.0028610034 0.0056091985 0.0020509479 0.0020613545 0.004630971 0.0053053237 0.007299659 0.0025725304 0.0033376291 0.0035665762 0.0064400677 0.004428665 0.002677846 0.0020255554 0.0031478114 0.00046788415 0.0010073662 0.0053864955 0.0019227375 0.0024747076 0.0029887974 0.0025621236 0.00045289856 0.0046455404 0.0026345542 0.010461624 0.0047113104 0.0025554635 0.0012084233 0.0025229945 0.000830869 0.00053989835 0.0006052523 0.0026395493 0.0011268349 0.0013083273 0.00186113 0.0054951413 0.0019739384 0.00083336665 0.0154118715 0.006542053 0.007941127 0.0010106964 0.0011867774 0.0028580895 0.028236642 0.0004104393 0.025682844 0.0012729446 0.011202162 0.00072347216 0.00060650107 0.01656826 0.000366315 0.00037547288 0.00080547674 0.0016771399 0.0008766584 0.00050451566 0.0005711184 0.001591389 0.0004966066 0.0004041953 0.0005731997 0.0016163649 0.00047038175 0.0004712143 0.00039378862 0.0019348093 0.0022528372 0.00043250146 0.0031349072 0.0010843757 0.00043499906 0.00041252063 0.00064896035 0.0019144121 0.0003750566 0.00042958758 0.00072805106 0.0016767237 0.00036048726 0.0003142816 0.0005232477 0.0014585997 0.00039212356 0.00038421448 0.0003750566 0.0031652946 0.00041751584 0.0029138695 0.0012808538 0.0023577365 0.00080755807 0.00084585464 0.0006610321 0.0012929254 0.0005020181 0.000787161 0.0008641704 0.0077558877 0.0039216517 0.0029917113 0.0037522311 0.0033114045 0.001142653 0.002885147 0.01862337 0.002587516 0.00567372 0.0037351642 0.0019119146 0.0019722732 0.0009008019 0.000659367 0.00068559183 0.004434493 0.0010573183 0.0016267716 0.0006239843 0.0007888261 0.00041834838 0.0005390658 0.0006897545 0.010876642 0.023966992 0.00096282567 0.0026274775 0.0015818148 0.0046701 0.0028489316 0.0014673413 0.0026824248 0.001459016 0.0009990409 0.0005507213 0.001287514 0.00087083067 0.0005536352 0.0006860081 0.012494672 0.005098439 0.0009944619 0.0031153427 0.0051009366 0.0005890179 0.0012442222 0.00061441015 0.0025808557 0.001697537 0.0007692615 0.00096573954 0.0021483542 0.001024017 0.0016654845 0.0013366335 0.0029542472 0.0014494419 0.0017870344 0.0012737772 0.0018340726 0.00183324 0.0033505335 0.03964902 0.001276819 0.0 2.0822227e-07 2.0822227e-07 0.0 6.246668e-07 8.328891e-07 0.0 0.0 0.0 2.0822227e-07 0.0 0.0 2.0822227e-07 2.0822227e-07 0.0 0.0008137327 1.4159115e-05 2.0822229e-06 1.6657782e-06 8.328891e-07 0.0 1.4159115e-05 0.0 4.1644455e-07 0.0 1.0411114e-06 8.328891e-07 8.328891e-07 1.457556e-06 8.328891e-07 8.328891e-07 0.00039208255 1.0411114e-06 2.0822229e-06 0.0 4.1644455e-07 1.0411114e-06 5.205557e-06 4.1644455e-07 5.205557e-06 4.1644455e-07 6.246668e-07 6.246668e-07 8.328891e-07 4.1644455e-07 1.8740005e-06 1.4159115e-05 0.00215281 1.6241338e-05 1.2285114e-05 9.786448e-06 4.9973346e-06 8.328891e-06 3.1233343e-05 5.205557e-06 3.019223e-05 2.915112e-06 3.748001e-06 3.748001e-06 4.1644457e-06 2.915112e-06 9.16178e-06 0.0002609025 0.0024397406 4.1644456e-05 4.101979e-05 2.0405783e-05 5.538713e-05 1.6657783e-05 2.0822228e-05 2.7485341e-05 2.8526452e-05 1.2909782e-05 8.120669e-06 1.1660448e-05 3.560601e-05 1.10357805e-05 8.537114e-06 0.00020551539 0.0032509745 6.704757e-05 5.9759794e-05 3.935401e-05 3.935401e-05 2.7485341e-05 0.00010015492 7.4543575e-05 6.4548905e-05 3.7063564e-05 1.186867e-05 1.728245e-05 3.623068e-05 1.10357805e-05 1.3118004e-05 0.00041457056 0.0012353827 2.4362007e-05 7.017091e-05 2.2279784e-05 7.371069e-05 4.101979e-05 0.00048328392 0.0002944263 9.370003e-06 8.328891e-06 2.2488006e-05 2.0614007e-05 1.186867e-05 3.5189565e-05 2.0405783e-05 0.00018573427 0.0059218416 0.0001644956 0.0001486707 0.00033107342 0.0010036314 0.0008818214 0.0050300257 0.002327925 8.4538246e-05 5.767757e-05 7.600113e-05 6.996268e-05 0.0001149387 8.474647e-05 0.00010473581 0.00065548375 0.0058337636 9.3908246e-05 0.0008772405 0.0011433485 0.004603378 0.0039087487 0.013074693 0.006612723 8.9535584e-05 8.391358e-05 4.1644456e-05 4.664179e-05 0.0001111907 8.0582024e-05 0.00012201826 0.00037688232 0.0042979163 0.000112231806 0.0007708389 0.0006400753 0.0013357459 0.0009332523 0.0038090101 0.0018269423 9.9946694e-05 0.00013909249 4.6017125e-05 3.4773122e-05 0.00013451159 4.9140457e-05 3.748001e-05 0.00023195962 0.003951434 0.00012701559 0.0007577209 0.0005499151 0.0011704174 0.00094137294 0.0027839318 0.0013867604 0.0001599147 0.00014263226 0.00014929537 8.97438e-05 0.0002092634 5.372135e-05 0.00010036314 0.0002196745 0.007224064 0.00048328392 0.0016884744 0.00067901285 0.0014904551 0.0010298674 0.0029428054 0.0014569313 0.0013715602 0.0004316448 0.00037438367 0.0003223281 0.0009567814 0.0009138876 0.00036688766 0.00086891156 0.021821694 0.0022019506 0.0045875534 0.0018933652 0.0040844884 0.0029394738 0.0026531683 0.0023930988 0.008819255 0.0014086238 0.0007847898 0.0014615122 0.004516966 0.0036996936 0.0023635312 0.006439066 0.12737477 0.017641632 0.03686513 0.013341842 0.03341822 0.019534789 0.012832739 0.013584213 0.062355287 0.012522488 0.0075842883 0.009555737 0.034054752 0.034977805 0.020449718 0.0343117 0.06379931 0.011213811 0.025196146 0.01051585 0.020449927 0.014428763 0.010168118 0.009587595 0.037188083 0.011969034 0.0065771174 0.005801489 0.021235758 0.018246518 0.013655425 0.021033157 0.0015323078 0.0010937917 0.0010513143 0.0011064932 0.0010142507 0.000982601 0.0010948328 0.0010939998 0.0011279401 0.0009561567 0.0009821845 0.001075468 0.0011106577 0.0010363223 0.0010998301 0.0011258579 9345.0 16.636919 155472.0 0.026506381 0.00055315427 0.0003923536 0.00043094577 0.0052035092 0.005814552 0.00016080066 0.0005402902 0.003421838 0.0030873728 0.00047596995 0.00046953792 0.0022640734 0.0012735412 0.007100957 0.0040007206 0.0036469589 0.0055058147 0.006335546 0.0049912524 0.004335186 0.0006624987 0.0013314295 0.00056601834 0.002933004 0.0020260883 0.0059367605 0.0015436864 0.0016401667 0.0011127406 0.00046953792 0.0003666255 0.0008425955 0.011603376 0.008117218 0.012304466 0.009146341 0.015475456 0.0044123703 0.016903365 0.0018588556 0.00872826 0.00043737778 0.0008876196 0.012561748 0.0071717096 0.010690028 0.005640887 0.010021097 0.00091977976 0.008310178 0.013809561 0.014504219 0.0076348153 0.009011269 0.001730215 0.0069272923 0.00043737778 0.00023798498 0.0037755994 0.0012349491 0.0038399198 0.0038013277 0.033208553 0.0047404035 0.047950756 0.011873521 0.018041834 0.023444736 0.080393896 0.019874962 0.033144232 0.008734692 0.037061337 0.0010870125 0.003415406 0.046098333 0.023193887 0.031163167 0.038637184 0.012561748 0.00050169806 0.060654007 0.029471545 0.05422198 0.01993285 0.0136294635 0.005801688 0.014356283 0.00638057 0.0009069157 0.00015436864 0.000720387 0.00015436864 0.00022512092 0.00018652876 5.549537 0.0 1.0 0.0 12.0 2402304.0 150069250.0 0.0 0.0 349.0 0.0 1.0 0.0 1.0 0.0 1539750900.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 31.0 4.0 0.0 4.0 0.0 2084864.0 1024.0 4096.0 8.0 1.0 0.0 1.0 6.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 207360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -33280.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2084864.0 -10752.0 64000.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0050154 0.0 0.0 0.0 0.0 0.0 5.6629095 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.9046361 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.465722 -5.6543293 6.8490553 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 -56.0 0.0 0.0 0.0 0.0 0.0 206860.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 147645950.0 0.0 0.0 -33240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2084588.0 -10732.0 63584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -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 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 -1.0 0.0 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 -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 -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 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 2.0 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 1.0 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 0.0 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 -1.0 -2.0 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 -1.0 0.0 0.0 2.0 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 1.0 -1.0 0.0 -1.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 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 -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 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -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 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 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 -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 0.0 0.0 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 2.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -2.0 -1.0 -1.0 -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 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 4.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 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 -1.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -3.0 -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 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 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 -1.0 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 1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10732.0 149983230.0 63584.0 150003710.0 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 2191080.0 0.0 0.0 0.0 0.0 1428.0 149984830.0 0.0 0.0 0.0 0.0


Input: 0.3125521 0.010239583 0.0083541665 0.0048072916 0.008203125 0.0043177083 0.0025572916 0.0021510418 0.007109375 0.002453125 0.00253125 0.00134375 0.006286458 0.0017604167 0.0014427083 0.011958334 0.0069791665 0.0010677084 0.0010677084 0.0010625 0.003625 0.0014635416 0.0010260417 0.00065625 0.0029791666 0.000921875 0.00065625 0.000640625 0.0022604167 0.0005052083 0.0006770833 0.001359375 0.008036458 0.0005885417 0.000890625 0.00083854166 0.019453125 0.001625 0.00046875 0.000546875 0.001828125 0.00069270836 0.000890625 0.001640625 0.0014479166 0.0026979167 0.00103125 0.00088020833 0.0046666665 0.0025885417 0.0026041667 0.004984375 0.0029791666 0.002390625 0.002109375 0.001578125 0.0036614584 0.0023802083 0.0023072916 0.0044010417 0.0021510418 0.0020520834 0.0016614583 0.0019635416 0.005739583 0.005703125 0.012447917 0.004046875 0.01003125 0.005 0.0031770833 0.0021979166 0.002484375 0.0012708333 0.00063020835 0.00065625 0.002171875 0.0023854168 0.00128125 0.001015625 0.012359375 0.00140625 0.0008854167 0.002828125 0.0017916666 0.0028489584 0.0043489584 0.0032864583 0.0014791667 0.002890625 0.0006458333 0.001546875 0.0015625 0.0031302082 0.0026927083 0.0061927084 0.0010052084 0.004036458 0.000984375 0.00209375 0.0030416667 0.0068802084 0.0075364583 0.0016614583 0.0085729165 0.0041041668 0.005875 0.0009895833 0.0036614584 0.001953125 0.004296875 0.00425 0.0025885417 0.000359375 0.0049270834 0.0055833333 0.0121145835 0.008182292 0.001625 0.0008125 0.0014375 0.0019270834 0.0006875 0.00035416667 0.0024166666 0.0022083332 0.0019635416 0.002171875 0.0036666666 0.0024635417 0.00063541665 0.010489583 0.0070885415 0.0068697915 0.000765625 0.00080729165 0.00246875 0.009557292 0.0019791666 0.018203124 0.000984375 0.010817708 0.0007604167 0.0006510417 0.0012760416 0.000546875 0.0005 0.00023958333 0.0009375 0.00088020833 0.000359375 0.00029166666 0.0014322917 0.00065625 0.00044791665 0.000390625 0.000796875 0.0005104167 0.00028125 0.00027604165 0.00091145834 0.001109375 0.000390625 0.00080729165 0.0008125 0.0005520833 0.00033333333 0.00027604165 0.001265625 0.000390625 0.000328125 0.0005520833 0.00074479164 0.00024479168 0.00033333333 0.00035416667 0.0011041666 0.00036979167 0.00033854166 0.0004375 0.0015104166 0.000671875 0.0011614583 0.0017708334 0.0025520832 0.00063541665 0.00063541665 0.0004375 0.0010104167 0.00063020835 0.0010052084 0.0017604167 0.0082135415 0.0033854167 0.0032604167 0.0031354167 0.0034739582 0.0005625 0.0024114584 0.0031822918 0.00221875 0.0015989583 0.0011354167 0.0007916667 0.011661459 0.000515625 0.00083854166 0.00080208335 0.002234375 0.00094791665 0.0010729167 0.00103125 0.0009583333 0.000359375 0.0007239583 0.00047916666 0.0015729166 0.000515625 0.0005 0.0011041666 0.0009635417 0.00045833332 0.00039583334 0.00049479166 0.00271875 0.00125 0.0010989583 0.00043229168 0.0016197916 0.001890625 0.00052083336 0.00045833332 0.018203124 0.0022708334 0.00059895834 0.0038125 0.00221875 0.00034895833 0.000640625 0.0005885417 0.0030729168 0.000671875 0.0013177083 0.0026041667 0.001140625 0.00049479166 0.002859375 0.0016666667 0.0029739584 0.0011510417 0.00097395835 0.00080208335 0.002453125 0.0021927084 0.0045260414 0.03446875 0.058851015 0.0 4.7253023e-05 0.0 4.2002688e-05 1.5751008e-05 0.00011025705 6.825437e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.250336e-06 0.02530662 0.0 4.2002688e-05 9.4506046e-05 1.0500672e-05 2.8876848e-05 0.0008400538 0.0005591608 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.014698315 2.8876848e-05 7.0879534e-05 2.8876848e-05 6.0378865e-05 0.00011550739 0.0005407846 0.0003543977 2.625168e-06 5.250336e-06 0.0 0.0 0.0 0.0 2.625168e-06 0.0002205141 0.013942268 0.0002205141 0.00023363995 1.8376177e-05 0.00016801075 0.00014438423 0.0006300403 0.00043052755 2.625168e-05 3.937752e-05 7.875504e-06 1.312584e-05 2.625168e-06 5.250336e-06 1.0500672e-05 0.00023626511 0.017557124 7.875504e-06 0.0005329091 0.00021526378 0.00044627857 0.00035702286 0.0015094716 0.00082167756 5.250336e-06 0.0 0.0 0.0 0.0 5.250336e-06 0.0 4.7253023e-05 0.02078083 5.7753696e-05 0.0009398101 0.0001233829 0.0007297967 0.00050403224 0.0022103915 0.0013414609 7.875504e-06 2.625168e-06 0.0 2.625168e-06 0.0 2.625168e-06 0.0 0.00017851143 0.01039829 6.825437e-05 0.0011314474 5.250336e-06 0.00023363995 0.00014438423 0.0027774277 0.0012915827 3.1502015e-05 2.625168e-06 5.250336e-06 0.0 5.250336e-06 1.0500672e-05 2.625168e-06 2.1001344e-05 0.020352928 0.0004515289 0.002297022 2.8876848e-05 0.0017641129 0.0007297967 0.0035282257 0.0020738826 0.00021526378 9.713122e-05 0.00011025705 6.825437e-05 6.300403e-05 8.9255715e-05 7.0879534e-05 0.00031764532 0.016105406 0.00080592657 0.0010763189 0.0013703377 0.0027958038 0.0021526378 0.007360971 0.004801432 0.00015488491 0.00014963458 0.00014438423 0.00014175907 0.00014438423 0.00012600806 0.00017063592 0.00013388357 0.014154905 0.000593288 0.0007796749 0.0008768061 0.0035571028 0.0018638693 0.0093666 0.004675424 0.0003622732 0.0001968876 0.00021526378 0.00018376176 0.00025726645 0.00019426244 0.00018901209 0.00016801075 0.01359312 0.00042265205 0.0010054393 0.0012600806 0.0021998908 0.0018664944 0.0037224882 0.003000567 0.00095031084 0.00042790239 0.000343897 0.0006064138 0.0005827873 0.0003360215 0.0005565356 0.0013834635 0.008970199 0.0013047085 0.0014779696 0.017420614 0.0020948842 0.0016827327 0.0029191868 0.0018901209 0.0014359669 0.0012784568 0.0013099589 0.0012784568 0.00124958 0.001328335 0.0012390793 0.0015068464 0.007219212 0.0006641675 0.0010185651 0.0018559938 0.00086630543 0.00063529063 0.0007954259 0.00072717154 0.0013729628 0.0004909064 0.00040427587 0.00056966144 0.0008243028 0.00063266547 0.0006484165 0.0027800528 0.076355636 0.010269658 0.014603809 0.00929572 0.020838583 0.017788138 0.012640184 0.011067708 0.033533897 0.003467847 0.003171203 0.005641486 0.019659882 0.0040427586 0.01750462 0.025065104 0.06808373 0.012123026 0.018465431 0.0108183175 0.024802588 0.022169543 0.012283161 0.016517557 0.0406061 0.0036017306 0.0036857359 0.0075526084 0.024642453 0.0070617017 0.018489059 0.0316779 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1110.0 13.455856 14936.0 0.030530263 0.0012720943 0.0031467595 0.0012051419 0.010109802 0.00093733263 0.0008703803 0.0014729513 0.003615426 0.001405999 0.0013390466 0.0013390466 0.0025441886 0.0020755222 0.0044188537 0.0036823782 0.015867703 0.014327799 0.014394751 0.007699518 0.012787895 0.006695233 0.010243706 0.007230852 0.013189609 0.00803428 0.007029995 0.0075656134 0.006092662 0.006695233 0.006695233 0.008369042 0.017943224 0.0074317087 0.0043519014 0.0076325657 0.009105517 0.006762185 0.0059587574 0.0061596143 0.004686663 0.0043519014 0.0010712373 0.001807713 0.006293519 0.0050883773 0.003615426 0.0032137118 0.014327799 0.0024102838 0.0034815213 0.010578468 0.0060257097 0.0034145687 0.005423139 0.0060257097 0.002811998 0.0014729513 0.0012051419 0.0016068559 0.0018746653 0.0022094268 0.0016738082 0.05684253 0.0021424745 0.033677023 0.007096947 0.019483129 0.021424746 0.065881096 0.0119844675 0.015867703 0.010310659 0.03883235 0.006762185 0.005490091 0.029726835 0.017742367 0.038095877 0.031065881 0.01466256 0.0012051419 0.041912157 0.045996252 0.050549008 0.012988752 0.0061596143 0.0025441886 0.006762185 0.012252277 0.001807713 0.0008703803 0.002611141 0.0011381896 0.001004285 0.0022094268 5.7888527 0.0 0.0 0.0 3.0 192000.0 225280.0 0.0 225.0 119.0 1.0 0.0 0.0 0.0 0.0 1539688100.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 0.0 5.0 1.0 5.0 1.0 117760.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -7680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 27136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.7270446 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0458922 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.6237929 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5923147 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 26820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -64296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -117367.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 -3.0 1.0 1.0 -2.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 2.0 0.0 1.0 1.0 -1.0 1.0 -2.0 0.0 1.0 1.0 -3.0 2.0 1.0 -2.0 0.0 -1.0 2.0 0.0 3.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 -2.0 -2.0 1.0 -1.0 -3.0 1.0 1.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 2.0 -1.0 1.0 -2.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 1.0 -1.0 -2.0 0.0 0.0 -2.0 1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 3.0 0.0 -3.0 -1.0 1.0 0.0 0.0 2.0 -1.0 -2.0 1.0 -2.0 1.0 0.0 2.0 2.0 0.0 -2.0 0.0 -2.0 0.0 1.0 3.0 2.0 -2.0 -1.0 1.0 1.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 6866.0 140208.0 120.0 147076.0 0.0 0.0 0.0 0.0 0.0 0.0 7192.0 217088.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 139080.0 0.0 0.0 496.0 122880.0 0.0 0.0 0.0 0.0


Input: 0.25558332 0.010385756 0.0057004527 0.009800093 0.0067156022 0.005310011 0.0032406684 0.0055833203 0.018116508 0.0057785413 0.0021474308 0.0016008121 0.002772138 0.0033187568 0.0008199282 0.015266282 0.0063642045 0.0023816961 0.0022645635 0.0019131657 0.0028502264 0.0087459 0.00078088394 0.00093706074 0.0024988286 0.0006637514 0.00078088394 0.0014836795 0.0018350773 0.001366547 0.0008199282 0.0021083867 0.015305325 0.0008589724 0.0018741215 0.0021474308 0.02038107 0.0010541934 0.00039044197 0.00023426519 0.0021474308 0.0008199282 0.00039044197 0.003943464 0.0008199282 0.0015617679 0.0014446353 0.00089801656 0.009058254 0.0017960331 0.0020302983 0.005934718 0.0024207402 0.0016789006 0.0012494143 0.00058566296 0.0018350773 0.0020693424 0.0021474308 0.005349055 0.0015227237 0.0008199282 0.0010541934 0.0002733094 0.004919569 0.024754021 0.0018350773 0.0031235358 0.016125254 0.0072622206 0.0014055911 0.002772138 0.02947837 0.00632516 0.0008199282 0.0010541934 0.007691707 0.0023426518 0.00093706074 0.0011713259 0.0023036078 0.0010151492 0.0008199282 0.0019522099 0.0018741215 0.00089801656 0.001366547 0.0016008121 0.0019131657 0.00039044197 0.00062470714 0.0011322817 0.0020693424 0.00074183976 0.0010541934 0.0014446353 0.0024597845 0.005192878 0.0020302983 0.00437295 0.0047633923 0.008941121 0.0046072155 0.00074183976 0.001991254 0.005192878 0.00039044197 0.0007027956 0.0047633923 0.0023816961 0.0040215524 0.004333906 0.0033187568 0.0007027956 0.0057785413 0.005544276 0.0095267845 0.0053880992 0.0022255194 0.00093706074 0.0033578011 0.0012103701 0.00023426519 0.0004294862 0.0024207402 0.0005466188 0.00031235357 0.0005466188 0.0030064033 0.0017569889 0.00039044197 0.011283773 0.0065594255 0.0044119945 0.00023426519 0.0005075746 0.0023036078 0.011127597 0.00023426519 0.02818991 0.00093706074 0.010737155 0.00019522099 0.00019522099 0.0014055911 0.00019522099 0.0003513978 7.808839e-05 0.0014836795 0.00015617679 0.00031235357 0.0002733094 0.00039044197 0.0003513978 0.0003513978 0.00023426519 0.00074183976 0.00023426519 0.00023426519 0.00015617679 0.00039044197 0.00015617679 0.00062470714 0.00023426519 0.00039044197 7.808839e-05 0.0002733094 0.00039044197 0.0010151492 0.00031235357 0.0011322817 0.0004294862 0.0003513978 0.00031235357 0.00019522099 0.00031235357 0.0008589724 0.00019522099 0.0005075746 0.00023426519 0.0006637514 0.0004294862 0.005505232 0.0024597845 0.0030844917 0.0010151492 0.0012884586 0.0003513978 0.0014446353 0.00046853037 0.0003513978 0.00062470714 0.0053880992 0.0058956738 0.002772138 0.006090895 0.0024597845 0.0020302983 0.0017179447 0.0046072155 0.0067156022 0.0030454474 0.002186475 0.0024207402 0.02038107 0.0013275028 0.0012884586 0.0018741215 0.0023816961 0.002967359 0.0021474308 0.0036311103 0.0005075746 0.00074183976 0.00046853037 0.00093706074 0.0017960331 0.00093706074 0.00097610493 0.0007027956 0.00031235357 0.00058566296 0.0004294862 0.00046853037 0.002733094 0.0011713259 0.0012884586 0.0007027956 0.00039044197 0.0002733094 0.00046853037 0.0005075746 0.0052319225 0.004177729 0.001366547 0.0023816961 0.0015227237 0.002186475 0.00058566296 0.00031235357 0.0011713259 0.00062470714 0.0005075746 0.0005466188 0.00058566296 0.00031235357 0.00097610493 0.0014836795 0.0016789006 0.0010932375 0.0008199282 0.0010932375 0.0004294862 0.00089801656 0.0013275028 0.039239418 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.030232748 0.00044759116 0.0012410482 0.0031738281 0.0008951823 0.0006510417 0.0024820964 0.0013020834 0.00012207031 0.00016276042 0.00036621094 0.00014241536 0.00014241536 8.138021e-05 8.138021e-05 0.00014241536 0.030192057 0.0036214192 0.0009969076 0.00081380206 0.0009969076 0.00071207684 0.0007527669 0.0006510417 0.0006306966 0.00030517578 0.00034586588 0.00030517578 0.00034586588 0.00032552084 0.00036621094 0.00030517578 0.05021159 0.0036621094 0.0037231445 0.009663899 0.0018513998 0.0014038086 0.00592041 0.004801432 0.0004679362 0.00020345052 0.00024414062 0.00018310547 0.00034586588 0.00020345052 0.0002644857 0.00018310547 0.0423584 0.0027058918 0.0031738281 0.0019124349 0.0034993489 0.0019124349 0.016418457 0.0075276694 0.00079345703 0.00036621094 0.0004679362 0.00044759116 0.0004679362 0.00044759116 0.00040690103 0.0004272461 0.040222168 0.0017293295 0.005004883 0.0047200522 0.004597982 0.0020345051 0.012166341 0.0064086914 0.001200358 0.00024414062 0.0007527669 0.0002644857 0.0019938152 0.0006510417 0.00044759116 0.0008951823 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012369792 0.0016072592 0.0028889973 0.00071207684 0.0040283203 0.00083414715 0.0073038735 0.0033976238 0.0032958984 0.00016276042 8.138021e-05 0.00083414715 0.0014648438 0.0007324219 0.0006306966 0.0013224283 0.119140625 0.020812988 0.03230794 0.014973958 0.08644613 0.011210124 0.009195964 0.015625 0.06801351 0.005330404 0.0028889973 0.014872233 0.06229655 0.015970865 0.021077475 0.041503906 0.015034993 0.0043945312 0.003885905 0.0032755535 0.012715657 0.0025227864 0.0017089844 0.0026245117 0.010904948 0.00036621094 0.001200358 0.0031534832 0.0059814453 0.002380371 0.0030517578 0.010131836 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 137.0 18.31387 2509.0 0.07612595 0.00039856517 0.008768434 0.0 0.011159824 0.0 0.0 0.0 0.00079713034 0.00039856517 0.00039856517 0.001992826 0.00039856517 0.011956955 0.006775608 0.005181347 0.0063770427 0.0059784777 0.004782782 0.009166999 0.007572738 0.004384217 0.004384217 0.0015942607 0.004384217 0.009964129 0.003985652 0.002789956 0.010362694 0.004384217 0.008768434 0.0 0.0031885214 0.034276605 0.0011956955 0.0031885214 0.013551216 0.0063770427 0.0035870865 0.007971304 0.010761259 0.007174173 0.00039856517 0.00079713034 0.006775608 0.003985652 0.004782782 0.007174173 0.007971304 0.0015942607 0.0015942607 0.007971304 0.0035870865 0.004384217 0.008768434 0.007971304 0.003985652 0.0 0.00039856517 0.002391391 0.007971304 0.005181347 0.006775608 0.005181347 0.00079713034 0.03786369 0.010362694 0.03148665 0.030689517 0.07054603 0.014348346 0.005579912 0.007971304 0.043045036 0.0015942607 0.0035870865 0.031088082 0.022319648 0.0354723 0.03706656 0.019529693 0.0015942607 0.043045036 0.038262255 0.04862495 0.020326823 0.01235552 0.0031885214 0.008369869 0.008369869 0.00079713034 0.0015942607 0.0031885214 0.002391391 0.00039856517 0.0 5.5868454 1.0 0.0 0.0 1.0 25612.0 4370432.0 1.0 0.0 27.0 1.0 1.0 0.0 0.0 0.0 1442059600.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 2.0 5.0 2.0 22528.0 1024.0 4096.0 5.0 1.0 0.0 1.0 1.0 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 0.0 512.0 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 -22528.0 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 -0.3824768 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9905267 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.190505 0.0 5.217752 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4329472.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -22102.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 25460.0 964.0 36864.0 0.0 0.0 0.0 0.0 28.0 40960.0 28.0 4320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 224.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.12505959 0.051814657 0.051902473 0.059031263 0.04883518 0.0707359 0.050168104 0.055233214 0.0010757477 0.00088757026 0.00075270975 0.0007025291 0.001003613 0.0048424327 0.004716981 0.0014834654 0.0038325472 0.00065548474 0.0006021678 0.00082484446 0.0009847953 0.0085903 0.0007997541 0.00072448316 0.004974157 0.0007370283 0.000733892 0.0046824818 0.0009032517 0.0007652549 0.0006993928 0.00069312024 0.0055825976 0.00064921216 0.0006680299 0.00064921216 0.0076023685 0.0046605277 0.0006460759 0.004632301 0.0009597049 0.00078720896 0.0047640256 0.0007621186 0.0009440235 0.00065234845 0.000884434 0.004851842 0.0020699517 0.0013078332 0.0049616117 0.00088757026 0.0010851566 0.0009346146 0.000809163 0.00089070655 0.00403327 0.0009095243 0.0011259284 0.008866293 0.0012701977 0.004845569 0.004870659 0.00081543555 0.00092834205 0.0009910678 0.00475148 0.00093147834 0.0030453382 0.00083111704 0.004629165 0.00068998395 0.00095029606 0.000658621 0.004607211 0.0046981634 0.0017782768 0.00078720896 0.0007056654 0.004732663 0.004851842 0.0046573915 0.0006805751 0.00084993476 0.0016245985 0.0009785227 0.00069312024 0.0007370283 0.004911431 0.0046134833 0.0006429396 0.0007370283 0.0011290646 0.00067116617 0.0008656162 0.00072448316 0.00075584603 0.00095656863 0.000733892 0.0010412484 0.0011698364 0.0015399187 0.0008467985 0.0008373896 0.0010663389 0.0053034676 0.00058962265 0.0007056654 0.0009220695 0.0046448465 0.0009722501 0.005102745 0.0049020224 0.004610347 0.0011855179 0.0050337464 0.0019946808 0.000658621 0.004629165 0.0007370283 0.00091579685 0.0007025291 0.004629165 0.00069312024 0.0011478824 0.0005833501 0.0006993928 0.0046354374 0.0009440235 0.0010757477 0.0008593436 0.0011353372 0.005726867 0.0046009384 0.00078720896 0.0006429396 0.005209379 0.004271628 0.0009032517 0.0075678695 0.0011572912 0.0008217082 0.00059275894 0.0005990315 0.0009346146 0.0006993928 0.004735799 0.00068684766 0.0050023836 0.0006209855 0.00064921216 0.0005990315 0.0007652549 0.004669937 0.00062725815 0.0006021678 0.0007840727 0.00063039444 0.0006837114 0.004588393 0.0008750251 0.0006398033 0.0005457146 0.00064921216 0.0008373896 0.000658621 0.00062412187 0.0006398033 0.00071507425 0.0046824818 0.0046354374 0.00061471295 0.00075270975 0.00064921216 0.0006617573 0.004695027 0.0008718888 0.008627935 0.0005802138 0.0046134833 0.0010224307 0.0006021678 0.004691891 0.0006460759 0.0008342533 0.0046573915 0.0007213468 0.00062725815 0.0010067493 0.0005802138 0.0007370283 0.0045789843 0.0009597049 0.000809163 0.0047389353 0.00079348154 0.0007088017 0.00053003314 0.0008217082 0.0014646477 0.0047546164 0.004792252 0.004704436 0.0007088017 0.005212515 0.0046636644 0.004691891 0.004629165 0.0008373896 0.0008718888 0.0007056654 0.0048298878 0.0007746638 0.0006743025 0.000658621 0.0006460759 0.0006743025 0.00078720896 0.00072761945 0.0005425783 0.0007433009 0.0007025291 0.00062725815 0.00062412187 0.0006993928 0.0006993928 0.0046793455 0.000636667 0.00082484446 0.00072761945 0.0047389353 0.0006053041 0.0048392965 0.0008060267 0.0006962565 0.000658621 0.00074957346 0.004607211 0.00065548474 0.004585257 0.00078720896 0.0006774388 0.0007621186 0.0005582597 0.0007621186 0.0005833501 0.0047734343 0.0009471598 0.0008812977 0.00081543555 0.0007213468 0.00062412187 0.00072761945 0.0007056654 0.0008217082 0.0019225462 0.14186145 3.1502016e-06 6.300403e-06 4.7253025e-06 6.300403e-06 6.300403e-06 4.7253025e-06 9.450605e-06 4.7253025e-06 4.7253025e-06 3.1502016e-06 4.7253025e-06 7.875504e-06 1.5751008e-06 4.7253025e-06 1.5751008e-06 0.037238535 8.505544e-05 0.00010238155 0.00018901209 0.00010080645 9.135585e-05 7.402974e-05 0.00011813256 8.348034e-05 9.2930946e-05 8.0330145e-05 0.00012128276 0.00014963458 3.4652217e-05 9.923135e-05 4.8828126e-05 0.020953566 0.0001953125 9.135585e-05 0.0001937374 0.00011183216 9.923135e-05 0.00011498236 9.923135e-05 0.000103956656 9.135585e-05 8.348034e-05 8.820565e-05 0.00011340726 5.985383e-05 9.765625e-05 8.348034e-05 0.02875819 0.000218939 0.00024414062 0.00023311492 0.00026619204 0.0002047631 0.00016381049 0.00026934224 0.00023469001 0.00026304185 0.00015278478 0.00028666834 0.000359123 0.00016696069 0.00024414062 0.0001921623 0.016253466 0.00014333417 0.0001811366 0.0001795615 0.00031817035 0.00023941533 0.00048828125 0.00033549647 0.00014963458 0.00028981853 0.00011970766 0.00016381049 0.00018586189 8.663054e-05 0.00012443296 9.608115e-05 0.038790006 0.0008820564 0.00069934473 0.0009623866 0.00068516884 0.0005418347 0.00086473033 0.00082850305 0.0005245086 0.00054656 0.00044890374 0.0006284652 0.0007371472 0.00033234627 0.0005686114 0.00034652217 0.029678049 0.0009466356 0.0006284652 0.0010726437 0.0006001134 0.00049930695 0.00044417844 0.00064894155 0.0005323841 0.0005339592 0.00045520414 0.00068359374 0.0007844002 0.00031186995 0.0005607359 0.00032919607 0.016358998 0.0004048009 0.00051190774 0.00048355595 0.00050718244 0.00041740172 0.00031186995 0.00050403224 0.00045520414 0.0003559728 0.00030714466 0.00050560734 0.00065996725 0.00017011088 0.00045047884 0.0001764113 0.027934413 0.002767452 0.0011655746 0.0029328377 0.0011041457 0.00078125 0.0013341104 0.0011734501 0.0008741809 0.0007245464 0.000530809 0.00083165325 0.0011513986 0.0004016507 0.00074817287 0.0007056452 0.021126827 0.00084267894 0.0009513609 0.0026902722 0.0009608115 0.00083480345 0.00085527974 0.001061618 0.0007938508 0.00074659777 0.00067571824 0.0010112147 0.0011592741 0.00045992943 0.00086158013 0.00045205394 0.018173514 0.0008883569 0.0011025706 0.0010679184 0.0010679184 0.0008836315 0.00069146923 0.0012238533 0.00087103073 0.0009009577 0.0007245464 0.0012474798 0.0015719506 0.00037329888 0.0010899698 0.00037959928 0.031457912 0.0020082535 0.00234375 0.0038857737 0.002326424 0.0020366053 0.0016365297 0.0027107485 0.0019625756 0.0019988029 0.0016837828 0.0027075983 0.0034447454 0.0009954637 0.0023311493 0.0009860131 0.030120652 0.002391003 0.0028005291 0.0027737524 0.0027249244 0.0024256553 0.0019420993 0.0031801285 0.0024177798 0.002468183 0.0021626134 0.0030966483 0.003766066 0.0013404108 0.0027879283 0.001343561 0.031616997 0.0038211946 0.009244267 0.0043961066 0.006215348 0.0046087448 0.0038621472 0.004982044 0.010600428 0.0034967237 0.0027800528 0.004504788 0.006437437 0.0025689895 0.003985005 0.0033313383 0.021577306 0.0039739795 0.0063240295 0.004950542 0.005292339 0.004125189 0.004501638 0.005350617 0.005886152 0.0033360636 0.0029501638 0.0042905747 0.0056042084 0.0022397933 0.0040102066 0.0026839718 0.016818926 0.011562815 0.013289126 0.013586819 0.013360005 0.011537613 0.009786101 0.015253277 0.011359627 0.011432081 0.009707347 0.015250126 0.018946888 0.005831023 0.013216671 0.0058357483 364.0 11.32967 4124.0 0.020368574 0.0046071773 0.0031522794 0.0036372454 0.012609118 0.0053346264 0.0031522794 0.0033947623 0.006304559 0.0038797285 0.0026673132 0.0050921435 0.008729389 0.0048496607 0.019398643 0.015033947 0.04655674 0.024975752 0.015518914 0.012851601 0.015276431 0.010669253 0.008971872 0.008971872 0.015033947 0.008729389 0.012124151 0.010669253 0.012851601 0.0094568385 0.009941804 0.009214355 0.008244423 0.016246364 0.0038797285 0.01842871 0.019641126 0.0055771098 0.0019398642 0.006304559 0.00800194 0.007032008 0.0026673132 0.006304559 0.009214355 0.009699321 0.0050921435 0.012609118 0.009214355 0.0036372454 0.008244423 0.010911737 0.008971872 0.0038797285 0.0029097963 0.0053346264 0.00800194 0.0033947623 0.0048496607 0.0031522794 0.008244423 0.0021823472 0.0036372454 0.0053346264 0.0075169737 0.012366635 0.0067895246 0.026915615 0.025218235 0.031765275 0.007759457 0.014306499 0.014548982 0.031765275 0.0026673132 0.0031522794 0.01770126 0.013336566 0.012124151 0.02400582 0.014064016 0.0029097963 0.028370515 0.018186226 0.0400097 0.006304559 0.0041222116 0.00800194 0.0094568385 0.0050921435 0.0038797285 0.0033947623 0.0065470417 0.0050921435 0.0026673132 0.0031522794 6.2043343 0.0 17.0 0.0 1.0 318848.0 315392.0 1.0 0.0 12.0 1.0 1.0 1.0 0.0 0.0 1216855600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 5.0 0.0 5.0 0.0 20480.0 4096.0 4096.0 6.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -266240.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -20480.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9550295 0.0 0.0 -6.0133934 0.0 0.0 0.0 0.0 0.0 4.325786 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.2906513 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.063324 0.0 3.4574833 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2152.0 0.0 0.0 -262380.0 0.0 0.0 0.0 0.0 0.0 676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11396.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -19208.0 0.0 3312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 29534.0 0.0 180.0 36944.0 3312.0 307200.0 0.0 0.0 7552.0 311296.0 2152.0 311296.0 56.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 36864.0 0.0 0.0 0.0 0.0