Input: 0.15939228 0.015092888 0.014078699 0.013855138 0.018099967 0.004635176 0.004935387 0.0063732783 0.019167386 0.0030191455 0.0024655645 0.003699766 0.0081568025 0.0023562678 0.0018892725 0.025136124 0.017733753 0.004882868 0.00136479 0.0023442025 0.0070496406 0.002656479 0.001180263 0.0007764328 0.0039290055 0.00095173344 0.0009694764 0.00092192524 0.003035469 0.00080056326 0.0007395274 0.0008885684 0.0063292757 0.0006678458 0.0007388177 0.0007345594 0.006027645 0.0014173092 0.00050886866 0.0005117075 0.0021731602 0.000955282 0.0005251922 0.0044208406 0.0015400907 0.0006614583 0.00061390706 0.00060113217 0.0032710957 0.0015237671 0.001612482 0.0059226067 0.0021873545 0.0012526544 0.0011965865 0.0012448474 0.0023853662 0.002297361 0.0017011969 0.0049368064 0.002559957 0.0015826738 0.0012895598 0.0016926803 0.0062135914 0.0040219785 0.0025777 0.002633768 0.0037068634 0.010466939 0.0056962064 0.0033094205 0.0031561211 0.0019666317 0.0013399498 0.0010489649 0.002294522 0.0060844226 0.002360526 0.0016217083 0.0059992564 0.00267919 0.0024045287 0.0030560507 0.0017970089 0.0059197675 0.004140502 0.0030425661 0.001915532 0.0014215675 0.0008424367 0.002696223 0.001463441 0.005474064 0.00399288 0.0035571125 0.001147616 0.0025918945 0.00091695716 0.0015017658 0.0032519333 0.0036699579 0.0069587966 0.0011241952 0.0030077898 0.004276768 0.0032845803 0.00048189933 0.0021469004 0.0010688371 0.0026174444 0.0025578279 0.0021767088 0.00056564616 0.0032845803 0.0026422846 0.0089531075 0.008811873 0.0013931787 0.0013484665 0.0018885627 0.0012420085 0.000558549 0.00055925874 0.0018580448 0.002990047 0.0021667727 0.0013903399 0.0038637111 0.0029616582 0.0012540738 0.01620147 0.0036600218 0.010315768 0.0037160895 0.0022576167 0.004331416 0.016131917 0.0022611653 0.044730052 0.0013605317 0.01230937 0.0012703973 0.0007004928 0.0013257554 0.00037473172 0.00027040302 0.00046841466 0.0011007744 0.0015628017 0.0005471935 0.0005557101 0.00094960426 0.0008097896 0.0003065987 0.000477641 0.0008438561 0.00071539695 0.00038608722 0.0003924747 0.0010773537 0.0009070211 0.00025975722 0.00044712308 0.0009687667 0.00029453347 0.00023207816 0.00024130451 0.0009943165 0.00027466132 0.0003222125 0.00027537104 0.00082753255 0.00026898357 0.00026756414 0.0021248993 0.0012526544 0.00037969975 0.00045776888 0.00053796713 0.0010078013 0.0009971554 0.006695491 0.0033874896 0.0029382375 0.0010503844 0.0012640099 0.00064229587 0.00089424616 0.00082753255 0.0015351226 0.0014158897 0.00962805 0.008809035 0.003027662 0.004971583 0.006757946 0.0007395274 0.0033321315 0.0074059195 0.004293091 0.002259036 0.0011731659 0.0015564142 0.017271016 0.0006082293 0.0023484607 0.001882885 0.004696212 0.001933275 0.0018892725 0.0018083644 0.0012065226 0.00028743627 0.0011355507 0.0009950263 0.002423691 0.0007111386 0.000720365 0.0013115611 0.0013349818 0.00031866392 0.0005209339 0.00050532003 0.002836038 0.0012271045 0.0011192271 0.00063732784 0.001973729 0.0021703213 0.0010156082 0.0008431464 0.009606049 0.0021511589 0.00068984705 0.0038026753 0.004463424 0.0003144056 0.00068771787 0.00060893904 0.0041355337 0.0012703973 0.0026493818 0.002517374 0.0027558396 0.000500352 0.0020482496 0.0017480383 0.006508125 0.0021852253 0.0015869321 0.0015415101 0.005537229 0.0016004167 0.005272504 0.043655537 0.046438247 4.8685975e-05 2.4520674e-05 2.4520674e-05 1.705786e-05 0.0 0.0 0.0 1.4570255e-05 0.0 0.0 0.0 1.1727279e-05 0.0 0.0 0.0 0.021460209 0.00036105805 0.00017519844 0.00017484307 0.00013468602 0.0 0.0 0.0 0.00017235546 0.0 0.0 0.0 8.351244e-05 0.0 0.0 0.0 0.00067840534 1.6347116e-05 2.1322326e-06 5.6859535e-06 2.1322326e-06 3.553721e-06 3.909093e-06 4.619837e-06 1.7768605e-06 1.0661163e-06 1.4214884e-06 1.4214884e-06 1.4214884e-06 1.0661163e-06 1.4214884e-06 1.4214884e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017338605 0.000101281046 2.9495883e-05 2.8429768e-05 4.6198373e-05 3.1628115e-05 6.36116e-05 3.376035e-05 1.9900837e-05 9.950419e-06 1.1016535e-05 1.0305791e-05 1.5991744e-05 1.0661162e-05 1.1016535e-05 2.6297535e-05 0.0011162237 2.8429768e-05 1.9545465e-05 6.5743836e-05 3.269423e-05 1.5991744e-05 4.264465e-05 1.9545465e-05 1.2082651e-05 9.239674e-06 1.0305791e-05 1.705786e-05 6.3966977e-06 8.52893e-06 1.2082651e-05 3.909093e-05 0.006631954 0.0015142405 0.00039659525 0.00013895049 0.00017590918 0.00014321496 0.0005131573 0.0002700828 6.609921e-05 0.00014676867 5.22397e-05 4.8685975e-05 6.36116e-05 5.6859535e-05 5.22397e-05 0.0006464218 0.0049666804 0.00052879367 0.002276869 0.00039055393 0.0011315048 0.0006307855 0.0076031857 0.0035562085 0.00015742984 3.553721e-05 2.558679e-05 3.8024813e-05 0.00013895049 2.914051e-05 4.5843e-05 0.00027896708 0.0059258295 0.00042324816 0.0013628519 0.0007992318 0.0019911497 0.0011745048 0.0046791844 0.0024485136 0.0009122401 4.7264486e-05 3.3404976e-05 0.00013717363 0.00065885985 0.00011194221 0.0001552976 0.0002455621 0.0033902498 0.0004456366 0.00091259554 0.001008546 0.0017388356 0.0010380419 0.0031027538 0.001507133 7.356202e-05 5.3305812e-05 8.52893e-05 5.7214907e-05 5.5082673e-05 0.00012260336 7.2851275e-05 0.00016453728 0.0087787565 0.0017040091 0.0009776286 0.010392501 0.0014001661 0.0013152321 0.0015185049 0.0013145213 0.002461307 0.00084009964 0.00078466156 0.0009026451 0.0016890835 0.00086639717 0.0009648352 0.0012075544 0.04108919 0.006215458 0.0033593324 0.0037267872 0.007840575 0.0062282514 0.0032409935 0.004374275 0.020704333 0.0018401167 0.001290356 0.004021035 0.01108441 0.0029733982 0.0042602005 0.013850272 0.13196956 0.029136958 0.013703148 0.014714892 0.03510152 0.031165065 0.01431119 0.021837259 0.08435254 0.005941466 0.005322763 0.015665513 0.05069134 0.013373363 0.02283088 0.057189673 0.026798254 0.009017211 0.004438242 0.004338027 0.008276971 0.00801293 0.0045281514 0.005780838 0.01792248 0.0015885133 0.0015924224 0.0037559276 0.011094006 0.003637944 0.0052207713 0.011362667 0.0014037198 0.0006727194 0.0007107442 0.00081309135 0.00061017385 0.0006428681 0.000932141 0.000669521 0.0005799672 0.00053838873 0.0005408763 0.00061195076 0.00051600026 0.000580678 0.00052772753 0.0005664631 4611.0 16.629364 76678.0 0.063721016 0.001538903 0.0017475678 0.0007042437 0.008124886 0.011202692 0.0009129085 0.0010824486 0.0035473017 0.0022170637 0.0009911578 0.000899867 0.0042776284 0.0036646756 0.0038081326 0.0022170637 0.01799734 0.009807246 0.009598581 0.0077336393 0.008894337 0.008111845 0.0070554786 0.0071467697 0.009181252 0.008490049 0.009689872 0.008320509 0.008229218 0.008646548 0.006103446 0.010824487 0.0225358 0.010420199 0.004199379 0.010407157 0.010994027 0.007290227 0.0091682095 0.0051383707 0.0044732518 0.008385717 0.003456011 0.002490936 0.0069772294 0.0051644538 0.005568742 0.0052035786 0.012572055 0.0018388586 0.0043428363 0.0110853175 0.0077336393 0.00487754 0.0064816508 0.0039776727 0.004499335 0.0034429694 0.0034429694 0.0018519001 0.0016562769 0.001421529 0.0016301938 0.00958554 0.00168236 0.04208508 0.00782493 0.022092387 0.026800387 0.052413993 0.012180808 0.01514124 0.011933018 0.037129294 0.0017866924 0.0043950025 0.026839511 0.01455437 0.036464173 0.040520098 0.016471477 0.0012650304 0.03913769 0.031730093 0.050431676 0.016262813 0.004603667 0.0066903154 0.0070163542 0.0062469025 0.0016562769 0.0005868698 0.0021779388 0.001043324 0.0011346149 0.000899867 5.848007 1.0 28.0 0.0 2.0 1409008.0 1462272.0 1.0 93.0 265.0 1.0 1.0 1.0 0.0 0.0 1510303600.0 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 5.0 1.0 5.0 1.0 1127424.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -30208.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 223744.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1127424.0 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 -6.6952057 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.834146 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2049003 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.637231 0.0 4.883331 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29876.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 223538.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -65344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1127375.0 0.0 480.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -2.0 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 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 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 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 1.0 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 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 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 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 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 -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 -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 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -2.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -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 -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 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 1.0 -1.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 2.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 -1.0 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 2.0 -1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 -1.0 1.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -2.0 0.0 9495.0 1343024.0 260.0 1352520.0 480.0 1425408.0 0.0 0.0 13296.0 1395712.0 29876.0 1429504.0 56.0 1135792.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1329448.0 0.0 0.0 1108.0 1134592.0 0.0 0.0 0.0 0.0


Input: 0.16794114 0.007866269 0.007107689 0.0046372185 0.010168167 0.0029587517 0.002432687 0.002692813 0.0076802573 0.0014212473 0.0016435896 0.0019051688 0.0048566544 0.0049467543 0.0016886393 0.006757464 0.0073649087 0.0021216983 0.0010608492 0.0009097145 0.003605434 0.0014939081 0.0008036296 0.00072224933 0.0024210613 0.00093877886 0.0007513137 0.0007890974 0.0019298735 0.0007019043 0.0007513137 0.0012090774 0.005394345 0.00071353005 0.0010375977 0.0019153414 0.008438837 0.0028090705 0.0013921829 0.0005885533 0.0020475842 0.00076148624 0.0012570336 0.0015171596 0.0015520368 0.00082978746 0.0013020834 0.00077892485 0.0035647438 0.0013180687 0.0013878231 0.009512765 0.001613072 0.00072370254 0.0006873721 0.0006626674 0.0029979888 0.00058710005 0.00086466473 0.0016450428 0.0013631185 0.0010899135 0.000533331 0.00051153277 0.013612293 0.0028773716 0.002332415 0.006439209 0.0062561035 0.026143393 0.0046241395 0.0029878162 0.0043102447 0.00348627 0.00095040456 0.0011320568 0.0031738281 0.0078081405 0.0014953613 0.0018659319 0.0074797133 0.0027567546 0.0029761905 0.006626674 0.0051240465 0.011284238 0.0031854538 0.0032537552 0.0015694754 0.0048552016 0.0025852749 0.0025547573 0.0020679291 0.0027945382 0.0025503975 0.0026070732 0.0013253348 0.0054350356 0.0013209751 0.0030648368 0.00869315 0.0096275695 0.0018790109 0.0017976307 0.006043934 0.006503151 0.0036693756 0.0012207031 0.0050702775 0.0033482143 0.0053957985 0.006054106 0.0036984398 0.002598354 0.007091704 0.006825765 0.012204125 0.0060512 0.001533145 0.0012468611 0.0027872722 0.0023309616 0.00081670855 0.0008050828 0.0017046247 0.0020025345 0.0011524019 0.0007251558 0.006279355 0.0011349632 0.0006147112 0.007379441 0.0039643785 0.0064958846 0.0014125279 0.00070771715 0.0021042596 0.011105492 0.00065685454 0.058194116 0.0013180687 0.012297131 0.00059436617 0.0005682082 0.002019973 0.00043015252 0.00084577285 0.00071207684 0.0011364165 0.0018455868 0.00062779017 0.00048682804 0.0011378697 0.00083269394 0.00044032506 0.00055948895 0.0012294224 0.0006059919 0.0004940941 0.00045631046 0.0011175247 0.0016595749 0.00039818173 0.0005653018 0.0010288784 0.0009838286 0.00039963494 0.00043015252 0.0011727469 0.0004432315 0.0004446847 0.000386556 0.0011800131 0.0004025414 0.00043451219 0.00054641 0.004400344 0.00052025204 0.0015593029 0.00071353005 0.0012192499 0.0007687523 0.0026114327 0.0006873721 0.002746582 0.0026099796 0.0040094284 0.0009256999 0.0012831915 0.00051153277 0.00059000653 0.00050717307 0.011385963 0.0020679291 0.002346947 0.0069362097 0.002319336 0.0004984538 0.003792899 0.0024704705 0.0016087124 0.0013311477 0.0008079892 0.0006365095 0.0016624813 0.000453404 0.00071062363 0.00058564683 0.0031883602 0.0007920038 0.002432687 0.0018048967 0.0018615723 0.0004679362 0.0013035366 0.00084867934 0.0037086124 0.00056966144 0.0009431385 0.0017685663 0.0019603912 0.0006292434 0.00062343053 0.0006205241 0.0023411342 0.0007207961 0.00062343053 0.0005812872 0.0022830055 0.0011872791 0.000600179 0.0005653018 0.024626233 0.0040021623 0.00097074965 0.0044148765 0.004525321 0.00056966144 0.0005623954 0.0006176176 0.0046968004 0.0005885533 0.000953311 0.00059000653 0.003932408 0.00046357655 0.0016973587 0.0035153343 0.008145287 0.0030677433 0.003226144 0.0037275043 0.0104835145 0.005038307 0.004084996 0.06404623 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018541589 8.4412255e-05 5.821535e-05 4.657228e-05 0.00037112285 0.0002510537 1.528153e-05 1.2370762e-05 2.0375373e-05 1.8919989e-05 1.6736913e-05 4.0023053e-05 1.4553838e-05 2.2558448e-05 1.528153e-05 0.00013898915 0.009232954 0.00022049063 0.0006003458 0.0005632335 0.0035205733 0.0016314852 0.009639007 0.006207212 3.201844e-05 1.0915378e-05 1.3826146e-05 0.00022194603 1.4553838e-05 9.4599945e-06 1.7464605e-05 0.0008513995 0.00870174 0.0003303721 0.0012756438 0.0013396807 0.005160791 0.003153089 0.012088417 0.011248661 0.00017173529 9.459994e-05 0.00010624302 0.00013607838 0.00014117222 0.0001353507 0.00020229834 0.00042351667 0.010771295 0.00052102737 0.0005734212 0.00032746134 0.0010587916 0.00083975645 0.0014153607 0.0009248964 0.0006898519 0.00048464278 0.00051229505 0.00060471194 0.00044461974 0.00043588743 0.00046863357 0.0007917288 0.01475177 0.0015223314 0.002226737 0.0008848733 0.00480786 0.0011504808 0.005067646 0.0026626245 0.002026622 0.0002939875 0.00026051368 0.00051011203 0.001027501 0.00039731976 0.0005821535 0.0020659172 0.032407757 0.0027805106 0.0038538561 0.0026553476 0.009459995 0.0052706725 0.0075257896 0.004515328 0.011151878 0.00140299 0.0009394502 0.0030905074 0.0034514426 0.0018519758 0.004498591 0.015427068 0.12557124 0.015055217 0.017303057 0.015967015 0.04851522 0.036916535 0.025309123 0.019551625 0.076142766 0.007394805 0.0056621707 0.014719023 0.024277983 0.014333347 0.031621125 0.076056175 0.030675123 0.0052466583 0.004654317 0.0055340966 0.014777967 0.01333277 0.0070891744 0.0064866454 0.022982692 0.0024173923 0.0023315249 0.004440376 0.008533643 0.004418545 0.010090903 0.020922597 0.0024501386 0.0018381497 0.0018032205 0.0017639251 0.0018265066 0.0017682912 0.0020870203 0.001801765 0.001778479 0.0017588313 0.0017668359 0.0019349327 0.0017602866 0.0019487588 0.0017646528 0.0017544652 2636.0 19.900986 52459.0 0.0074534398 0.00024781257 0.0002859376 0.00047656265 0.01841438 0.0012009379 0.0002859376 0.0005718752 0.00087687525 0.00072437525 0.00072437525 0.0005718752 0.00080062525 0.0003240626 0.0018490631 0.00066718773 0.004250939 0.006786252 0.005566252 0.0011056253 0.001582188 0.001391563 0.0011628128 0.0016393755 0.0016012505 0.00085781276 0.0012009379 0.0009340628 0.00066718773 0.0003240626 0.00053375016 0.00036218762 0.048190016 0.0048800013 0.005528127 0.019520005 0.007339065 0.005127814 0.008482815 0.0073771896 0.004441564 0.009188128 0.00047656265 0.0011246878 0.0063478146 0.0052231266 0.0020587507 0.0058140643 0.0063096895 0.0063096895 0.0058521894 0.027602509 0.022646258 0.008120627 0.0043081264 0.0050706267 0.0005718752 0.0060046893 0.0014106254 0.0048800013 0.00045750014 0.0044987514 0.0049753143 0.0070340647 0.00026687508 0.0389447 0.0066146897 0.023084695 0.017937819 0.074667834 0.005947502 0.013725004 0.012848129 0.052517205 0.0020206256 0.004670314 0.033054385 0.025353134 0.042947825 0.041251265 0.018871881 0.026725633 0.058979392 0.055243142 0.06872033 0.012905316 0.008959378 0.0037171887 0.008559065 0.014620942 0.0025734382 0.00015250004 0.0003240626 0.00022875007 0.00055281265 0.00040031262 5.3934994 0.0 0.0 1.0 2.0 688128.0 1417216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1428555900.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 609280.0 1024.0 4096.0 9.0 2.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 -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 -26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -606720.0 -74240.0 449024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.6799927 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.713006 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.3214626 -5.5589585 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.0 0.0 0.0 -28652.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -2216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 201836.0 0.0 0.0 -25880.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -606532.0 -74136.0 448972.0 0.0 0.0 0.0 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 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 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 3.0 1.0 1.0 2.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 -3.0 0.0 1.0 -1.0 1.0 1.0 2.0 0.0 -3.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 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 1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 -2.0 -1.0 1.0 0.0 -1.0 -2.0 0.0 2.0 2.0 0.0 0.0 0.0 3.0 0.0 -1.0 0.0 -1.0 2.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 -1.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 1.0 1.0 1.0 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -2.0 1.0 0.0 1.0 -1.0 0.0 1.0 -2.0 1.0 1.0 2.0 0.0 -2.0 0.0 -1.0 0.0 2.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 1.0 -2.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 0.0 1.0 -1.0 2.0 2.0 -3.0 0.0 -1.0 0.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 -2.0 -1.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 2.0 1.0 1.0 -1.0 1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 2.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -2.0 -1.0 -1.0 1.0 -1.0 1.0 -3.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 1.0 -1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 -2.0 -1.0 3.0 -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 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -3.0 1.0 -2.0 2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 1.0 1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 1.0 1.0 1.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -2.0 1.0 2.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 -2.0 2.0 2.0 -1.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 2.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 3.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 2.0 -1.0 1.0 1.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 1.0 0.0 2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 -2.0 1.0 0.0 -2.0 -1.0 -1.0 2.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 -1.0 2.0 -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 1.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 -2.0 -1.0 2.0 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 1.0 -1.0 1.0 2.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 0.0 0.0 -1.0 2.0 0.0 1.0 -2.0 1.0 1.0 1.0 -1.0 -3.0 0.0 1.0 0.0 3.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 -1.0 2.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 1.0 2.0 1.0 2.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 2.0 0.0 2.0 1.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 -3.0 0.0 0.0 2.0 1.0 -2.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 -1.0 1.0 0.0 3.0 0.0 -2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 1.0 0.0 -2.0 0.0 1.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -1.0 0.0 2.0 1.0 -1.0 0.0 1.0 0.0 2.0 -1.0 -2.0 -2.0 1.0 0.0 0.0 2.0 0.0 -1.0 -1.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 2.0 1.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 1.0 -2.0 2.0 1.0 1.0 0.0 0.0 1.0 0.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 2.0 0.0 1.0 -1.0 -1.0 2.0 1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 74136.0 851968.0 448972.0 966656.0 0.0 0.0 6432.0 1188864.0 28652.0 937984.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 933888.0 0.0 0.0 0.0 0.0 5972.0 859400.0 0.0 0.0 0.0 0.0


Input: 0.009975774 0.0039625196 0.0037865913 0.0038784598 0.0038975226 0.003860086 0.003911303 0.0040107504 0.0039025752 0.0037989935 0.0038169078 0.00390625 0.003916815 0.003953103 0.0038858093 0.0039051017 0.0039005082 0.003846765 0.0037753372 0.0038828235 0.0038045056 0.0038159892 0.0039211786 0.003883283 0.0039588446 0.0038876466 0.0038786894 0.003923016 0.0038695026 0.0038120847 0.0039142887 0.0039156666 0.003914748 0.0038153 0.0038316068 0.0039039534 0.003818286 0.003805654 0.0038809862 0.0039423085 0.0038766223 0.0038472244 0.0038876466 0.0038394157 0.0038341333 0.003874096 0.0038102474 0.0039071687 0.003856641 0.0038940774 0.003790955 0.0039625196 0.0038465355 0.0038591675 0.00384332 0.0038371189 0.0038366595 0.0038001419 0.0038589376 0.0039200303 0.0038623828 0.0039462126 0.0038550333 0.0039381743 0.003890862 0.0039583854 0.003844009 0.003921868 0.0037948594 0.0038938478 0.0039287577 0.0039163553 0.003826554 0.0038219607 0.003855952 0.0038821346 0.0038789192 0.003909695 0.0038550333 0.003890862 0.003861464 0.0038401047 0.0038904026 0.003853885 0.003846306 0.0038456167 0.0038674355 0.003833674 0.0038568706 0.0038630718 0.0039588446 0.0038869577 0.0039170445 0.003913829 0.0038736367 0.003911762 0.0038777709 0.0039119916 0.0038722586 0.0038862687 0.0038658278 0.0039207195 0.0039094654 0.0038752444 0.0038885653 0.0038750146 0.0039030346 0.0039090062 0.003921868 0.003967802 0.0039916877 0.0039505768 0.0038201232 0.0038552629 0.0038715696 0.0038676653 0.003927839 0.003872718 0.003955629 0.0038506696 0.0038582487 0.0038596268 0.0039129104 0.003955859 0.0038506696 0.0039099245 0.0040135067 0.0039473614 0.003937715 0.003840564 0.0038502102 0.0039296765 0.0038219607 0.0038580191 0.0039002786 0.0038605453 0.0038662872 0.0037939406 0.0038373487 0.0039305952 0.0038249462 0.0038731773 0.0038633014 0.003846765 0.003858708 0.0038564114 0.0037787824 0.0039039534 0.0038486025 0.0038283914 0.003824487 0.0038550333 0.0038729478 0.003917504 0.0038926995 0.0038947663 0.0038155299 0.0038368893 0.0038989005 0.0038508992 0.0039048719 0.0038348222 0.0038982115 0.0038855795 0.0038876466 0.0038660576 0.0038373487 0.0038534256 0.0038605453 0.0038003714 0.003870651 0.003859397 0.0038410234 0.0038571004 0.0038805269 0.0039338106 0.0038288508 0.0038541146 0.0039344993 0.0038837423 0.0038814454 0.003910384 0.0039498876 0.0039142887 0.0039170445 0.0038605453 0.0038931586 0.0039165854 0.0038382672 0.003886039 0.0039232457 0.00406702 0.003804276 0.0038752444 0.003825176 0.0039106137 0.0038729478 0.0038752444 0.0038430905 0.0038430905 0.0038623828 0.0038591675 0.0038786894 0.0038920103 0.0039576963 0.0038322958 0.0038130034 0.0038366595 0.003886039 0.0038876466 0.0039443756 0.0038541146 0.0038628422 0.003911303 0.0039110733 0.003966194 0.00391314 0.0039618304 0.0038745555 0.0039262315 0.0039170445 0.003911303 0.0038842016 0.0038837423 0.0038791487 0.003825176 0.0038821346 0.0038807564 0.0038906324 0.0039271503 0.0038430905 0.0038536552 0.0038966038 0.0038550333 0.0038476838 0.0039044127 0.0038759334 0.0038991303 0.003848832 0.0038752444 0.0038945368 0.003891551 0.0038655982 0.0038844312 0.0038793785 0.0038637607 0.0039262315 0.004006157 0.003892929 0.0039140587 0.003869273 0.003898671 0.0039664237 0.0039505768 0.004005927 0.0041246675 0.0028228653 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00019710435 0.0 4.4796443e-06 4.70937e-06 1.0337641e-06 6.891761e-07 1.7688853e-05 9.41874e-06 0.0 0.0 0.0 1.1486268e-07 0.0 0.0 0.0 0.0 0.00019721923 1.0337641e-06 2.9864298e-06 3.5607432e-06 2.871567e-06 2.0675282e-06 1.4472697e-05 5.283683e-06 2.2972536e-07 0.0 2.2972536e-07 1.1486268e-07 1.1486268e-07 0.0 1.6080775e-06 3.4458803e-06 0.00018286139 6.891761e-07 6.6620355e-06 6.6620355e-06 1.2405169e-05 6.776898e-06 6.891761e-07 8.0403873e-07 1.4932149e-06 2.2972536e-06 8.15525e-06 2.182391e-06 1.3783522e-06 6.891761e-07 8.0403873e-07 6.891761e-07 0.0005320439 1.7114538e-05 1.8378028e-05 1.3898384e-05 3.376963e-05 1.7918577e-05 2.9864298e-06 6.43231e-06 1.8033441e-05 4.020194e-06 1.8492892e-05 3.216155e-06 3.3310178e-06 8.844427e-06 3.7904683e-06 3.4458803e-06 0.0006272651 3.8019545e-05 2.7107591e-05 7.6957995e-06 9.4187395e-05 6.214071e-05 3.7904683e-06 4.020194e-06 2.2972536e-05 4.364782e-06 1.975638e-05 5.398546e-06 4.364782e-06 1.286462e-05 3.6756057e-06 3.3310178e-06 0.00014920662 5.743134e-06 3.7904683e-06 6.776898e-06 6.6620355e-06 7.0066235e-06 2.1709046e-05 5.398546e-06 2.4121164e-06 0.0 2.2972536e-07 1.7229402e-06 3.4458805e-07 0.0 4.70937e-06 1.9526655e-05 0.00040695848 2.2627948e-05 1.8378028e-05 2.49252e-05 4.0661387e-05 3.2735865e-05 2.0790145e-05 7.6957995e-06 3.733037e-05 1.8378028e-05 9.6484655e-06 4.364782e-06 1.975638e-05 4.8242327e-06 3.216155e-06 3.342504e-05 0.0008909898 3.043861e-05 2.9404846e-05 8.7984816e-05 1.757399e-05 3.0323747e-05 0.000112795155 0.000108085784 0.00013197721 5.835024e-05 1.286462e-05 3.17021e-05 6.2944746e-05 1.6655089e-05 2.1364458e-05 0.00023845492 0.000100619705 1.7229402e-06 8.959289e-06 6.087722e-06 2.871567e-06 1.412811e-05 5.9728595e-06 0.0 1.9526655e-05 6.8917607e-06 5.5134087e-06 4.939095e-06 7.810662e-06 1.0452503e-05 0.0 3.974249e-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 0.00016057803 1.975638e-05 2.7107591e-05 2.2972536e-05 2.4695477e-05 1.63105e-05 4.766801e-05 3.124265e-05 2.101987e-05 1.1486268e-05 1.1486268e-05 1.3553796e-05 1.2520032e-05 1.2175444e-05 1.4472697e-05 2.3431987e-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 0.062058814 0.061856423 0.06164347 0.06172617 0.061835863 0.061834257 0.062279463 0.06215541 0.061581213 0.06163256 0.061787046 0.062394097 0.061672874 0.062431313 0.061935678 0.062471513 20736.0 5.6854744 117894.0 0.010704531 0.010517923 0.010746942 0.010780871 0.0102889035 0.009864794 0.010331315 0.010797835 0.010229528 0.010763907 0.0108741755 0.009975063 0.010059885 0.010602745 0.010831764 0.010789353 0.010831764 0.010407655 0.010204081 0.010059885 0.009881758 0.010246493 0.010263457 0.009830865 0.010551851 0.009839348 0.009830865 0.010848729 0.010144706 0.010127742 0.010221046 0.010076849 0.010339797 0.010797835 0.009941134 0.0108232815 0.010136224 0.010746942 0.00992417 0.01066212 0.010458548 0.010399172 0.010399172 0.01031435 0.011052301 0.010509441 0.01004292 0.010204081 0.010263457 0.0102549745 0.010373726 0.010789353 0.010204081 0.01054337 0.009983544 0.010483994 0.010000509 0.010492477 0.011289802 0.010865693 0.009949616 0.010577299 0.010670602 0.010102295 0.010483994 0.010713014 0.010119259 0.0102889035 0.010534887 0.011730877 0.010653638 0.010204081 0.010373726 0.011026855 0.010000509 0.01054337 0.010772388 0.0103567615 0.011026855 0.011001408 0.0108148 0.010424619 0.010713014 0.010645156 0.010577299 0.010297386 0.010704531 0.0102549745 0.009941134 0.010526405 0.00977149 0.009975063 0.009873276 0.010068366 0.010679085 0.009779972 6.5840435 0.0 0.0 0.0 64.0 4354048.0 2428928.0 0.0 0.0 16.0 0.0 1.0 0.0 0.0 119.0 1252547200.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 56.0 4.0 0.0 4.0 0.0 1946624.0 512.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -828416.0 0.0 40448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.999687 0.0 3.595525 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2383872.0 0.0 40960.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 866.0 2424260.0 35750.0 2387968.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.023577452 0.0039502885 0.0036795384 0.0040745675 0.0037461163 0.0038837106 0.0036529072 0.0039059033 0.0037061695 0.003533067 0.0036529072 0.0038260098 0.0036706612 0.0036307145 0.0036751 0.0034842433 0.0035774524 0.0038659566 0.0034709277 0.0035019973 0.003759432 0.0034620506 0.0036617843 0.0035463825 0.0037816246 0.0036706612 0.0033954727 0.003759432 0.0036751 0.0035552597 0.0035596981 0.0034886817 0.0040257433 0.0033200178 0.0034620506 0.0035730137 0.0035996449 0.0037905015 0.003777186 0.0037061695 0.0037549934 0.0035463825 0.0038837106 0.0033732802 0.0035685753 0.0036484688 0.0040523745 0.0035463825 0.0038925877 0.003759432 0.003701731 0.0037061695 0.00364403 0.003768309 0.0036662228 0.0034975589 0.0038260098 0.0038925877 0.003786063 0.003701731 0.0033732802 0.0037505548 0.0036351532 0.0036307145 0.0038260098 0.0037150467 0.0035818908 0.0039236574 0.0038792721 0.0037150467 0.00364403 0.0037328007 0.0037727475 0.003692854 0.003608522 0.0033954727 0.003626276 0.0035463825 0.003515313 0.0037061695 0.003768309 0.0037638703 0.0035730137 0.0037372392 0.0038304483 0.0036795384 0.003710608 0.0038437638 0.00325344 0.003448735 0.0033377719 0.0038215711 0.0036040836 0.0035375056 0.00352419 0.003768309 0.0038126942 0.0039059033 0.0036617843 0.0038437638 0.0036839768 0.0039325343 0.003448735 0.003590768 0.0035641368 0.0035197514 0.00352419 0.0034176654 0.0037239236 0.0037816246 0.0038171327 0.0038082558 0.003972481 0.0036884155 0.0036351532 0.003994674 0.003888149 0.0036795384 0.0036395916 0.003541944 0.0036129605 0.003803817 0.0033865958 0.0034709277 0.0036307145 0.0035774524 0.0033999113 0.00352419 0.0038748335 0.0037194851 0.0034753662 0.003710608 0.0036839768 0.0037283623 0.0036839768 0.003541944 0.0038171327 0.0037505548 0.0035375056 0.0038304483 0.003768309 0.0037239236 0.003692854 0.0036307145 0.0035463825 0.0038082558 0.0036484688 0.003759432 0.0035064358 0.003430981 0.0037372392 0.003759432 0.003608522 0.0035552597 0.0036884155 0.0035863293 0.0035996449 0.0036040836 0.0035019973 0.0037239236 0.0033777186 0.0035108745 0.0036573457 0.0034842433 0.0039857966 0.003626276 0.0037416779 0.0035641368 0.0036662228 0.0034176654 0.0036751 0.0034398579 0.003541944 0.0036129605 0.0037239236 0.003364403 0.0036351532 0.0036884155 0.0037194851 0.003803817 0.0034087882 0.0035952064 0.0037727475 0.003541944 0.0035596981 0.003608522 0.0035019973 0.0037549934 0.0037328007 0.00364403 0.0039414116 0.0034753662 0.0035375056 0.0038304483 0.0038260098 0.003870395 0.0040168664 0.0037061695 0.0037328007 0.0039502885 0.003852641 0.0037638703 0.0036795384 0.003777186 0.0037283623 0.0036529072 0.0038348867 0.0037816246 0.0038215711 0.0038837106 0.0038748335 0.0036884155 0.0039059033 0.004265424 0.0040168664 0.003590768 0.0038126942 0.0040124278 0.0037239236 0.0036307145 0.0038082558 0.0039059033 0.0039591654 0.0039236574 0.0038171327 0.0040124278 0.003994674 0.0036884155 0.0038570794 0.0038482023 0.003768309 0.003999112 0.0043630716 0.004158899 0.0038792721 0.004460719 0.004132268 0.004167776 0.004265424 0.0044074566 0.004589436 0.0043541943 0.004553928 0.005175322 0.005557035 0.0042743008 0.0044385265 0.0040923213 0.004292055 0.0042432314 0.0041766535 0.0048779408 0.006071904 0.0052729696 0.0051575676 0.018868176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0066353e-05 3.1214327e-05 3.790311e-05 4.23623e-05 7.580622e-05 3.790311e-05 8.47246e-05 6.9117435e-05 0.000113709335 8.918379e-05 0.00010256136 0.00012262771 0.00014938285 0.00021181151 0.00052172516 0.002856111 0.0029854274 0.0002073523 0.00021850028 0.00014269406 0.00021850028 0.0002095819 0.00021850028 0.00022072988 0.00036788313 0.00023187786 0.00030099528 0.00045037814 0.00044145976 0.00053287315 0.0010902719 0.0058616046 0.0007156999 7.357663e-05 9.587257e-05 0.00010256136 0.00015607163 0.000111479734 0.00014715326 0.00015830122 0.00019174514 0.00017836758 0.00026755137 0.00034558718 0.0004325414 0.00056631706 0.0011727668 0.004416827 0.002189462 0.00024302583 0.00040355665 0.00028761773 0.00028761773 0.00017613798 0.0007201591 0.00043477098 0.00014715326 0.00016053082 0.00016276042 0.00020066353 0.0003478168 0.0002965361 0.00045483734 0.0026197738 0.0058303904 0.0007959653 0.0007513734 0.0007090111 0.00086954195 0.00074691424 0.00087177154 0.0006755672 0.00083609804 0.00075806223 0.0007714398 0.0010100064 0.0011794557 0.0014915989 0.0022541203 0.007845944 0.006864922 0.001094731 0.0012084404 0.0012552618 0.0013154609 0.0011393229 0.0017323951 0.0013310681 0.0012574914 0.0010300728 0.0011348637 0.0013332977 0.0017435431 0.0021225743 0.0030723815 0.008893853 0.002508294 0.0006510417 0.0005529395 0.00060199056 0.00074468466 0.0005930722 0.0005150364 0.00052618433 0.0005975314 0.00045706693 0.0004682149 0.0005016588 0.00081380206 0.0008517052 0.0011014198 0.0022139875 0.05617018 0.054772224 0.05550576 0.05624376 0.055316247 0.055278342 0.054807898 0.055117812 0.05569751 0.05534077 0.05441995 0.05463176 0.055606093 0.055982895 0.055363066 0.055590484 1006.0 6.187873 6225.0 0.016706828 0.0077108433 0.008995984 0.009156627 0.008032128 0.009638554 0.010281124 0.013012048 0.01060241 0.008353414 0.009799196 0.008353414 0.009799196 0.010441767 0.0115662655 0.008514056 0.008674699 0.009799196 0.01124498 0.008835342 0.010120482 0.008995984 0.009799196 0.008995984 0.009317269 0.01060241 0.010281124 0.011726907 0.010120482 0.01124498 0.009799196 0.010441767 0.007871486 0.013172691 0.010281124 0.01188755 0.01124498 0.011405623 0.0115662655 0.0065863454 0.0094779115 0.008995984 0.009799196 0.008835342 0.011084338 0.0069076307 0.008192771 0.010441767 0.012690763 0.0077108433 0.009799196 0.012208835 0.010923695 0.0115662655 0.009317269 0.007550201 0.0077108433 0.008514056 0.0077108433 0.0115662655 0.01124498 0.0077108433 0.008995984 0.0094779115 0.010281124 0.0162249 0.008192771 0.014457831 0.010281124 0.02008032 0.009799196 0.010441767 0.008514056 0.0136546185 0.008674699 0.008514056 0.015903614 0.012851406 0.014297189 0.016706828 0.008835342 0.01060241 0.013012048 0.015742972 0.012690763 0.010281124 0.01124498 0.008514056 0.011405623 0.01060241 0.008835342 0.0061044176 0.008995984 0.009959839 0.010763052 0.010120482 6.5500646 0.0 0.0 0.0 3.0 225300.0 516096.0 0.0 0.0 13.0 0.0 1.0 0.0 0.0 0.0 1465623300.0 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 7.0 0.0 4.0 0.0 4.0 0.0 135680.0 1024.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -198144.0 0.0 26112.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9984403 0.0 6.7095637 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -483328.0 0.0 28672.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 641.0 509244.0 21693.0 487424.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.20463124 0.005371661 0.0037588016 0.0033187247 0.004861262 0.0035932055 0.002708515 0.0026699514 0.0060340445 0.002243485 0.0030124856 0.0017013284 0.004387159 0.0030238277 0.0015652222 0.006780361 0.0038971764 0.0018555821 0.0012136142 0.0013247677 0.0022979276 0.0017897974 0.0028446212 0.0020370572 0.0030283646 0.002905869 0.0025882877 0.0028423527 0.0035932055 0.0027969838 0.0028423527 0.0028559633 0.02330593 0.0029126743 0.0032733558 0.0027448097 0.00582308 0.0031780815 0.0024725972 0.0029852642 0.0037451908 0.0029716536 0.0038790288 0.0064673163 0.0063901893 0.0051221326 0.0040332824 0.0043644747 0.004967879 0.0025814823 0.0024363024 0.004902094 0.0022729747 0.0023841283 0.002393202 0.001978078 0.0021119157 0.0024226916 0.0017671131 0.0030760018 0.0019984937 0.0021777004 0.001751234 0.001984883 0.003972035 0.0036385744 0.0066896235 0.002486208 0.0074359393 0.007206827 0.0028831845 0.002263901 0.00264273 0.0027833732 0.001751234 0.0015470746 0.0031531285 0.0036090845 0.0026087034 0.00198942 0.0054215663 0.002216264 0.0024794026 0.002921748 0.0031871551 0.0030782702 0.0032869664 0.0037361172 0.0014903636 0.003268819 0.0010911187 0.002393202 0.0013587943 0.0033005772 0.0020960367 0.0021890425 0.0010570921 0.004427991 0.0014177737 0.002409081 0.0035274208 0.006453706 0.003212108 0.0016967915 0.0038087072 0.002921748 0.0034570992 0.0011387558 0.0025610663 0.0020211781 0.003445757 0.00376107 0.0021595529 0.0009822336 0.0041580466 0.0046480293 0.009044262 0.0070366943 0.0014880953 0.0013043517 0.0011931983 0.0015380009 0.00078714796 0.0006056729 0.0010797764 0.0016604965 0.0015811012 0.0013179624 0.0030034117 0.0020733522 0.0015538799 0.007308907 0.002025715 0.006381116 0.000875617 0.0008620064 0.0016196646 0.0062926468 0.0014835583 0.015625 0.0022548272 0.00782611 0.0017058653 0.00081890606 0.002724394 0.002005299 0.0012635199 0.00089830137 0.0010276024 0.0010230655 0.0005739148 0.0005217407 0.00081890606 0.0007281686 0.0007531214 0.00058979384 0.0007735373 0.0007349739 0.00050813006 0.0008642748 0.00090283825 0.0012272248 0.0009822336 0.0011274136 0.0011637086 0.0009391333 0.00055349886 0.0018691928 0.001202272 0.0006759945 0.0011886614 0.000859738 0.0010502867 0.0008801539 0.0007009473 0.00094367017 0.0011228768 0.0007599267 0.0023614438 0.0077739367 0.0045527546 0.0017716499 0.00198942 0.0014041631 0.0018964141 0.0013270362 0.0016015171 0.00086654327 0.0013088887 0.0011319505 0.0010389446 0.00090056984 0.0052037966 0.0036068163 0.002449913 0.0032234502 0.0026858305 0.0012136142 0.002683562 0.0026608775 0.002300196 0.0025542611 0.001606054 0.001093387 0.0057164636 0.0010797764 0.0012113458 0.0013996261 0.0017308181 0.0013202309 0.0012657883 0.0014926321 0.0018124819 0.0012317618 0.0011818561 0.0010230655 0.0020234466 0.001497169 0.001258983 0.0014835583 0.0018215555 0.0012521778 0.0014563372 0.0036045478 0.0045187282 0.0016310068 0.004019672 0.0038109757 0.0024952816 0.0035977424 0.0033708988 0.0037996334 0.011648429 0.0060930243 0.0035206156 0.005165233 0.0066102277 0.0026495354 0.0024385706 0.002216264 0.003393583 0.0030079486 0.0012839359 0.0011092661 0.0011977352 0.001258983 0.0026381933 0.0012907411 0.00339812 0.0015039743 0.0012499093 0.00082117453 0.0021164524 0.0025610663 0.015890406 0.084624074 0.0045686737 9.3331146e-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 0.006501311 1.5934585e-05 2.9592804e-05 7.398201e-05 2.6178248e-05 1.1381848e-06 4.4389206e-05 3.414554e-05 1.1381848e-06 0.0 0.0 0.0 0.0 0.0 9.105478e-06 0.00025609156 0.008454436 9.105478e-06 9.105478e-06 9.3331146e-05 2.162551e-05 1.1381848e-06 4.552739e-06 8.650204e-05 7.967293e-06 3.4145542e-06 0.0 0.0 1.1381847e-05 0.0 7.739656e-05 0.0005440523 0.0060118916 0.00015137857 2.5040064e-05 0.00023560424 5.4632867e-05 1.934914e-05 2.2763695e-06 4.552739e-06 1.1381848e-06 1.1381848e-06 2.2763694e-05 2.2763695e-06 1.1381848e-06 0.00012747668 0.0 0.00033234994 0.0019701978 1.934914e-05 3.073099e-05 2.2763694e-05 5.4632867e-05 4.4389206e-05 7.170564e-05 5.4632867e-05 1.1381847e-05 6.8291083e-06 3.4145542e-06 2.2763695e-06 6.8291083e-06 1.1381848e-06 1.8210956e-05 1.2520032e-05 0.0037753587 0.00019007685 0.0015502076 5.8047422e-05 0.00014113491 0.00018438592 1.4796402e-05 2.390188e-05 2.162551e-05 9.67457e-05 1.02436625e-05 4.2112835e-05 8.422567e-05 6.8291083e-06 2.162551e-05 0.0007716892 0.011740375 0.0007113655 0.0032893538 0.0005303941 0.00056112505 0.0001638986 0.00083201303 0.00068973994 0.00020487326 0.00010585118 3.7560098e-05 6.601471e-05 0.000116094845 3.7560098e-05 0.00012747668 0.0017653245 0.019454991 0.0004268193 0.0025279082 0.00082973664 0.00181199 0.0007978675 0.0042363238 0.0023139296 0.00013544399 0.00012292396 6.2600164e-05 0.00010812755 0.00016845134 0.00010016026 0.00011268029 0.0017550809 0.030241568 0.0025119737 0.009269376 0.0015456548 0.0037013767 0.0028306653 0.0071261744 0.0036831659 0.00037218642 0.00023560424 7.739656e-05 0.00023332787 0.00022422239 0.00030161894 0.0086547565 0.00824501 0.010479267 0.0015741095 0.0028659492 0.0006931545 0.0012770433 0.0015012657 0.0019554014 0.001170054 0.00067266717 0.0003209681 0.00040405558 0.0005349468 0.0006567326 0.000893475 0.007109102 0.0075188484 0.021159992 0.008334926 0.0145642115 0.007884205 0.00529825 0.0018586557 0.0048122453 0.003142528 0.0036091837 0.0024641699 0.0010004644 0.012505236 0.002483519 0.0030583024 0.012440359 0.023588879 0.014838514 0.0050501255 0.010776333 0.0068336613 0.0070897527 0.0030970008 0.0026030284 0.0019303613 0.0037298314 0.0019394668 0.00248921 0.004681354 0.0047416775 0.0057762875 0.010774056 0.023206448 0.007601936 0.0022410857 0.0048111067 0.003924461 0.003585282 0.0021727947 0.0019997905 0.0013715127 0.0029535894 0.00089802773 0.0008206312 0.0022752313 0.0020293833 0.0024379918 0.003198299 0.01129193 0.06911513 0.00937409 0.023300918 0.009295555 0.018130144 0.015610203 0.013336111 0.014322917 0.02501161 0.005056955 0.005088824 0.0061769285 0.015027453 0.0062235943 0.012518894 0.02746895 0.032682974 0.006187172 0.007765834 0.006444402 0.011675499 0.011123479 0.006208798 0.008999627 0.019552875 0.0023014096 0.0027498542 0.0031448044 0.011102992 0.004286404 0.008647928 0.015634105 0.0099238325 0.0038413734 0.0029467603 0.0027282287 0.003308703 0.0042055924 0.004170309 0.0028192836 0.00561808 0.002285475 0.003529511 0.0020897072 0.004122505 0.002168242 0.0040018577 0.005177602 1494.0 9.81593 14665.0 0.09423798 0.004568701 0.004295943 0.0033412888 0.0102284355 0.0038186158 0.0027275826 0.008319127 0.0065461984 0.0038868054 0.0038186158 0.0057279235 0.006137061 0.0047050803 0.011319468 0.0038186158 0.0053869756 0.0045005116 0.0042277533 0.0032049096 0.0034094783 0.0028639617 0.0032049096 0.0027957722 0.0035458575 0.0048414594 0.0037504262 0.005046028 0.0045005116 0.0043641324 0.0030685305 0.0055233547 0.01418343 0.008182748 0.004091374 0.008387317 0.009205592 0.008523696 0.0049778386 0.0075008525 0.0071599046 0.009001023 0.003000341 0.003000341 0.0078418 0.0037504262 0.0065461984 0.0049778386 0.018138425 0.0029321513 0.006137061 0.01261507 0.013978861 0.0072962837 0.009955677 0.009273781 0.002523014 0.003000341 0.0018411183 0.0072962837 0.008114559 0.0033412888 0.0021138766 0.012478691 0.0042277533 0.035867713 0.008523696 0.022707125 0.026116604 0.06457552 0.011864984 0.009273781 0.008728265 0.025502898 0.008114559 0.0036822367 0.022434367 0.01425162 0.03000341 0.040777363 0.012683259 0.0022502558 0.04234572 0.033549268 0.049914762 0.016638255 0.00627344 0.004091374 0.005046028 0.008796454 0.0022502558 0.0008182748 0.0012956017 0.0011592227 0.0012274123 0.0019093079 5.820202 1.0 0.0 0.0 3.0 440832.0 483328.0 1.0 0.0 67.0 0.0 1.0 0.0 0.0 0.0 1415279600.0 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 6.0 0.0 6.0 0.0 158208.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107520.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158208.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4685087 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1449385 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.8493876 0.0 6.0926933 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 107086.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -42604.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -158139.0 0.0 163504.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 269364.0 163504.0 319488.0 0.0 0.0 0.0 0.0 0.0 0.0 56.0 164224.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 262944.0 0.0 0.0 272.0 163840.0 0.0 0.0 0.0 0.0


Input: 0.21104501 0.01635966 0.018115683 0.009407253 0.012399656 0.007848337 0.017165998 0.0058414564 0.00818879 0.0044617257 0.0119516915 0.0025623566 0.0022756595 0.0028490538 0.004927609 0.0021860665 0.0035478785 0.00856508 0.0056981076 0.0037091456 0.0023114965 0.0016485092 0.005088876 0.003225344 0.0027773795 0.0016305906 0.0024010895 0.0018456136 0.001953125 0.0030103212 0.0024010895 0.0034941228 0.006450688 0.002042718 0.0013976491 0.0015409978 0.00094968465 0.0015051606 0.0015768348 0.00059131306 0.008959289 0.00053755735 0.0049096905 0.0023294152 0.00403168 0.002419008 0.005608515 0.0009855218 0.049186498 0.016807627 0.015714593 0.016735952 0.01576835 0.015141198 0.0114858085 0.01184418 0.013886898 0.013797305 0.001021359 0.0007167431 0.0007704989 0.0012005448 0.0005017202 0.00055547594 0.0012005448 0.0038883314 0.003099914 0.0052501434 0.0042287842 0.0074899658 0.0033686927 0.0010034404 0.0011647076 0.0029744839 0.00051963876 0.0012184633 0.0017739392 0.0017918578 0.0013976491 0.0012543005 0.0023294152 0.0005017202 0.0015409978 0.0049096905 0.0032432626 0.0008780103 0.0013438934 0.0010930332 0.0022935779 0.00091384747 0.0008421732 0.00035837156 0.00046588303 0.00057339447 0.00037629015 0.002508601 0.0010034404 0.021591887 0.009729788 0.018438216 0.017613962 0.038130734 0.011163274 0.0045871558 0.0018456136 0.013188073 0.0008242546 0.0011109519 0.009299742 0.0052322247 0.013170155 0.016449254 0.005465166 0.00043004588 0.0150336865 0.0092280675 0.017613962 0.0055905962 0.00390625 0.0010571961 0.0021502294 0.004551319 0.00093176606 0.002078555 0.00034045297 0.0017560206 0.0013618119 0.00023294151 0.0040137614 0.0035837155 0.00014334862 0.00035837156 0.0008421732 0.0004121273 0.0010392775 0.00019710435 0.00044796444 0.00046588303 0.0001612672 0.00026877868 0.00051963876 0.00060923165 0.0008780103 0.00034045297 0.00034045297 0.00093176606 0.00030461582 0.0008959289 0.0005017202 0.00017918578 0.0003942087 0.00037629015 0.00026877868 0.00053755735 0.00034045297 0.0014155677 0.00069882453 0.0002508601 0.00017918578 0.00014334862 0.00053755735 0.00023294151 0.0003225344 0.0004121273 0.00053755735 0.00017918578 0.00021502294 0.00021502294 0.0001612672 0.00023294151 0.00028669724 0.00019710435 0.00044796444 0.00044796444 0.00021502294 0.00043004588 0.00019710435 0.00037629015 7.167431e-05 0.00046588303 0.00021502294 0.00014334862 0.00028669724 0.00060923165 0.0003225344 0.00026877868 0.0021323108 0.00034045297 0.00010751147 0.00023294151 0.00017918578 0.0001612672 0.0004121273 0.00035837156 0.00017918578 0.00035837156 0.0003942087 0.00028669724 0.0003942087 0.00023294151 0.00030461582 0.00023294151 0.0001612672 0.00023294151 0.00019710435 0.00046588303 0.0001612672 0.00014334862 0.00023294151 0.00034045297 0.0007167431 0.0011826261 0.0017739392 0.0001612672 0.00026877868 0.00021502294 0.00035837156 0.0002508601 0.00028669724 0.0015947535 0.0006450688 0.00028669724 0.0010034404 5.3755735e-05 0.0009855218 0.00028669724 0.00026877868 0.00010751147 0.00019710435 0.00034045297 0.00053755735 0.00023294151 0.00019710435 0.00034045297 0.0002508601 0.00012543004 0.00017918578 0.00026877868 0.00021502294 0.0002508601 0.00030461582 0.00028669724 0.00019710435 0.00023294151 0.00021502294 0.0001612672 8.959289e-05 0.0004121273 0.00037629015 0.00023294151 0.00010751147 0.00019710435 0.00035837156 0.00044796444 0.0010751147 0.0006450688 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018425707 0.0 0.0017043779 0.09351968 0.001326651 0.0017412293 0.0462301 0.0038049086 0.0007738797 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015486808 0.0014832695 0.0016306752 0.045216687 0.0056382664 0.0010502653 0.01862839 0.0028651976 0.00059883547 0.0002395342 0.00030402417 0.00014740566 0.00011055425 0.0005343455 0.0002211085 0.00018425708 0.011810878 4.606427e-05 0.0010594781 0.01995504 0.016417306 0.0069649173 0.06421359 0.030264225 0.00016583137 0.0 0.0 0.0 0.0 9.212854e-06 0.0 3.6851416e-05 0.084629275 0.009498452 0.013570534 0.0067438087 0.009498452 0.004919664 0.034161262 0.021097435 0.00091207254 0.00058962265 0.0006817512 0.00050670694 0.00023032134 0.0009397111 0.00031323702 0.00038693985 0.118689194 0.02575914 0.017071418 0.014031176 0.0042379126 0.0052605397 0.013257297 0.008835127 0.005472435 0.0023400648 0.0016306752 0.0011792453 0.001446418 0.0031692218 0.0017135908 0.002321639 0.0779776 0.015652638 0.008770637 0.0079967575 0.0032429246 0.0034363945 0.0051776236 0.0032244988 0.0060159937 0.0038878242 0.0021742336 0.0030678804 0.0022940007 0.003952314 0.002091318 0.0019807636 0.006154186 0.00060804834 0.00046985556 0.0013727152 0.0014279924 0.0008383697 0.0046340656 0.0023400648 0.00012897995 0.00018425708 0.00011055425 0.0002763856 9.212854e-05 6.448998e-05 4.606427e-05 0.0001197671 0.008356058 0.0015385465 0.0017412293 0.001068691 0.0005343455 0.0003224499 0.0003224499 0.00028559848 0.00048828125 0.0006817512 0.00030402417 0.0010226268 0.00043300414 0.0008936468 0.00050670694 0.00036851416 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 624.0 37.921474 23663.0 0.002577864 8.4520136e-05 0.0 0.0001267802 4.2260068e-05 0.0 0.0 0.0 4.2260068e-05 0.0 4.2260068e-05 0.0 0.0020284832 0.00021130034 0.00595867 4.2260068e-05 0.1099607 0.036724 0.034991335 0.035709757 0.035202637 0.033596754 0.025905423 0.026370283 0.03089211 0.030300468 4.2260068e-05 0.0 0.00021130034 0.0021552634 0.00021130034 4.2260068e-05 8.4520136e-05 0.006592571 0.00612771 0.010607277 0.0077758525 0.014157123 0.0065503106 0.0012678021 0.0016904027 0.0051979884 8.4520136e-05 0.002408824 0.0027469045 0.0026623844 0.0015213625 0.0013945822 0.0040992266 8.4520136e-05 0.0021975236 0.009170434 0.0052402485 0.0011832819 0.0007184212 0.0016058827 0.0007184212 0.0001267802 4.2260068e-05 0.0 0.0 4.2260068e-05 0.0 0.004226007 0.0005071208 0.045218274 0.021552635 0.040062547 0.03769598 0.082026795 0.02472214 0.008832354 0.0030004648 0.025694123 0.0004226007 0.0016481427 0.01884799 0.009719816 0.025863161 0.021299075 0.0063390103 0.0002535604 0.026750624 0.016016565 0.03596332 0.011410219 0.0076913326 0.0021552634 0.0030004648 0.008747834 0.0007606812 0.0 0.0 0.0 0.0 0.0 5.1332207 0.0 0.0 0.0 1.0 55808.0 81920.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3998003200.0 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 48.0 0.0 4.0 0.0 4.0 0.0 53760.0 512.0 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 -53760.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.5849625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.0366735 0.0 3.2241938 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 -53396.0 0.0 984.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 83.0 61496.0 984.0 65536.0 0.0 0.0 0.0 0.0 12.0 73728.0 28.0 61468.0 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