Input: 0.26802313 0.015715651 0.00629615 0.005364913 0.009131066 0.002909085 0.0019778481 0.005150646 0.008966245 0.0027525052 0.0031810391 0.0020108123 0.0045408094 0.0012773603 0.0015328323 0.0049940664 0.0051011997 0.0026206488 0.0008570675 0.0011207806 0.0030491825 0.00852947 0.001227914 0.00079113926 0.00247231 0.003659019 0.0014339399 0.0008488265 0.0023816586 0.0010466112 0.0006510417 0.00055214926 0.004071071 0.00064280065 0.0010548523 0.0005768724 0.0051011997 0.001219673 0.0007087289 0.00096420094 0.001953125 0.0014092168 0.00032964136 0.0012938423 0.0022580433 0.0036837421 0.0015740375 0.00064280065 0.006090124 0.0027277821 0.0025052743 0.007787777 0.00390625 0.0028266746 0.0035024392 0.0026206488 0.004367748 0.0030079773 0.0020602585 0.003963937 0.002892603 0.002447587 0.0017306171 0.0016811709 0.005076477 0.0054802876 0.0022910074 0.0044583995 0.0050435127 0.0069307094 0.0023816586 0.0016152426 0.0027607463 0.0019036788 0.0005603903 0.0011537448 0.0033623418 0.0036095728 0.0024805511 0.0016152426 0.009773866 0.003148075 0.0023322126 0.00581817 0.0037084653 0.0038073575 0.0047633173 0.009394779 0.0015328323 0.0017883043 0.00069224683 0.0013432885 0.02527525 0.002909085 0.0020932225 0.00295029 0.0016729299 0.004400712 0.0011372627 0.0024228639 0.003420029 0.009600804 0.0023074895 0.0013103244 0.0053237076 0.0045325686 0.00438423 0.0013020834 0.0046644253 0.0023074895 0.0047056302 0.004928138 0.0034859574 0.0007581751 0.006090124 0.005892339 0.013729562 0.008603639 0.0013103244 0.0013515295 0.002925567 0.0014916271 0.00069224683 0.0002719541 0.0009889241 0.0017883043 0.000725211 0.0006510417 0.00757351 0.0010795754 0.0002966772 0.00414524 0.0026206488 0.011224288 0.00023074895 0.00037908755 0.001697653 0.0065268986 0.00074993406 0.024047336 0.0012608782 0.0069966377 0.00043677478 0.00024723102 0.0016317246 0.00017306171 0.00023898997 0.00018130275 0.00084058545 0.00076641614 0.0002884362 0.00013185653 0.0011867088 0.00013185653 0.00013185653 0.00018130275 0.0005356672 0.00041205168 0.00020602584 0.00015657964 0.0015328323 0.0010218882 0.00042029272 0.00043677478 0.0006840058 0.00041205168 0.00019778482 0.00012361551 0.00076641614 0.00018130275 0.00019778482 0.00023074895 0.0008570675 0.0003708465 0.00016482068 0.00040381064 0.0012691192 0.00035436446 0.00022250791 0.00019778482 0.0009889241 0.0010630933 0.00042029272 0.0008817906 0.0025135153 0.001705894 0.00056863134 0.0005027031 0.00067576475 0.00055214926 0.0008076213 0.00045325686 0.0088179065 0.0009889241 0.002200356 0.0016317246 0.0015245912 0.0008076213 0.0011784679 0.0016564478 0.0015987606 0.0014174578 0.00042029272 0.0006510417 0.025456553 0.0018377505 0.0016317246 0.0010630933 0.0018871967 0.00049446203 0.0007828982 0.00037908755 0.00084058545 0.00034612342 0.0010218882 0.0003626055 0.014883307 0.011628099 0.0002884362 0.0016317246 0.0012938423 0.00015657964 0.00018954377 0.00034612342 0.0018624737 0.00032140032 0.0002884362 0.0001483386 0.0013103244 0.0013597705 0.0002966772 0.0002719541 0.006312632 0.0018789558 0.00026371307 0.0035848496 0.004367748 0.00021426688 0.00031315928 0.0002966772 0.0044996045 0.0005439082 0.00035436446 0.0002884362 0.0023569358 0.0003873286 0.002900844 0.0007746572 0.004367748 0.0010795754 0.000725211 0.0014256989 0.0072521097 0.0018707147 0.0021509097 0.055626977 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.020937666 0.00026709403 0.00042150775 0.00015858708 0.00018780048 0.00025874734 0.0004548945 0.00024205395 0.00020032052 9.5986914e-05 8.346688e-05 7.094685e-05 5.8426816e-05 0.00012937367 6.2600164e-05 0.0020115518 0.0130959535 0.00034221422 0.00040898772 8.764023e-05 2.9213408e-05 8.346688e-05 0.00016276042 2.5040064e-05 6.677351e-05 0.0001043336 2.5040064e-05 4.173344e-05 2.5040064e-05 6.677351e-05 2.5040064e-05 0.0025040065 0.050151076 0.0033178085 0.0017736712 0.0010808961 0.002195179 0.0009390024 0.0021743122 0.0013938969 0.0018028846 0.0002837874 0.00019614717 0.00027126737 0.0002629207 0.0003213475 0.0004632412 0.0017486311 0.055613983 0.004599025 0.0036433293 0.0013855502 0.0050163595 0.0023454193 0.005250067 0.0033804087 0.0015983908 0.00016276042 0.00020032052 0.00030465412 0.00022953392 0.00015858708 0.00034638756 0.0012353099 0.030903613 0.00080962875 0.0017444578 0.00061765494 0.0020157252 0.0016693376 0.005325187 0.003008981 0.00038394766 0.00026709403 0.00045906784 0.00045906784 0.0005967882 0.00089726894 0.00033804087 0.0017861912 0.03927117 0.0016109108 0.0027711005 0.0026500735 0.0060638688 0.007203192 0.011101095 0.0072324052 0.0011434963 0.00047158787 0.0004548945 0.0005008013 0.00044237447 0.003493089 0.0004632412 0.0005967882 0.020357572 0.0015483106 0.0018571381 0.002862914 0.0022243923 0.0035723825 0.0033553685 0.002729367 0.0005258414 0.00027961406 0.00023370727 0.00025040066 0.00027961406 0.0019823385 0.00020449386 0.00047158787 0.023842314 0.0029088208 0.002862914 0.023358207 0.0041023972 0.006877671 0.0077498998 0.0054545607 0.0021617922 0.0018821781 0.0021534455 0.0021158855 0.002462273 0.004256811 0.0018988715 0.008476062 0.019664798 0.0018696581 0.0011810564 0.0025248732 0.0034137955 0.0068943645 0.011489216 0.0067733373 0.001686031 0.0006385216 0.00075537525 0.0008054554 0.0013772035 0.0025540865 0.0010725494 0.005675748 0.026262853 0.0057592145 0.003251035 0.0053627472 0.008642996 0.018500434 0.0046950122 0.0065187635 0.020833334 0.0013396434 0.0011351496 0.0032719017 0.01857138 0.0085219685 0.0062474958 0.023479233 0.043023005 0.013388088 0.0076163528 0.011071881 0.01707315 0.033699755 0.0069486178 0.014393863 0.039784487 0.0014857105 0.0022243923 0.0050205328 0.029021434 0.014356303 0.011973324 0.039517395 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 900.0 12.084444 10876.0 0.007447591 0.00073556456 0.00073556456 0.00091945566 0.0035858771 0.0022986392 0.00082751014 0.00082751014 0.004045605 0.0010114013 0.0005516734 0.00082751014 0.0022066936 0.0011952923 0.0032180948 9.194557e-05 0.019124677 0.008275101 0.010297904 0.009562339 0.01038985 0.008550938 0.0068959175 0.010941522 0.011217359 0.009470394 0.008367047 0.008183155 0.007999265 0.006160353 0.0073556453 0.0084589925 0.0045972783 0.010849577 0.0018389113 0.011677087 0.012596543 0.011677087 0.00974623 0.007539537 0.007999265 0.009378448 0.00091945566 0.003401986 0.009838176 0.005516734 0.008275101 0.005700625 0.022894446 0.004689224 0.012044869 0.018756896 0.008550938 0.004505333 0.008642883 0.057190143 0.006160353 0.0014711291 0.00082751014 0.00082751014 0.004689224 0.00091945566 0.00073556456 0.0131482165 0.0037697684 0.0290548 0.0058845165 0.018205222 0.02031997 0.077785954 0.0042294962 0.007631482 0.014803236 0.033744022 0.007907319 0.0022986392 0.028319236 0.01700993 0.031629276 0.036410443 0.015906584 0.000643619 0.040272158 0.028503126 0.05415594 0.015079074 0.0068959175 0.0063442443 0.009378448 0.0073556453 0.0016550203 0.00082751014 0.0021147481 0.0011033468 0.00045972783 0.00091945566 5.8030453 0.0 0.0 6.0 2.0 121344.0 139264.0 1.0 4.0 204.0 1.0 1.0 0.0 0.0 0.0 1540428700.0 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 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 6.0 3.0 11.0 0.0 6.0 3.0 6.0 1.0 73728.0 1024.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -6144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 -5632.0 32768.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.588323 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.7647781 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2346516 -5.5131397 1.1591469 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5980.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73554.0 -5282.0 33060.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 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 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 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 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 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 -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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 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 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 162.0 77488.0 200.0 82776.0 33104.0 94208.0 0.0 0.0 0.0 0.0 5980.0 131072.0 56.0 4848.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 5760.0 0.0 0.0 852.0 81920.0 64.0 77148.0 0.0 0.0


Input: 0.06611104 0.0050733266 0.0043034814 0.0041839406 0.004958567 0.0038540068 0.0036388326 0.0033088992 0.005145051 0.0031989212 0.0045855986 0.0032371744 0.0044517126 0.0033041174 0.0030076555 0.0039783297 0.0044660573 0.0030124371 0.002988529 0.0031415415 0.0035862345 0.0035862345 0.0030793801 0.0029550572 0.003619706 0.0030985067 0.0030698169 0.0029933106 0.0034666935 0.003093725 0.0030028739 0.0032084845 0.01228883 0.0029502755 0.0030315637 0.003041127 0.004470839 0.0037870638 0.002849861 0.0029502755 0.0032228294 0.0029789656 0.0029263673 0.0033184625 0.0031558864 0.003160668 0.003605361 0.005455858 0.009721086 0.0038396618 0.004394333 0.004781646 0.003825317 0.0046190703 0.0038300985 0.0036866493 0.0041361237 0.0037344657 0.0034380036 0.0037631555 0.004231757 0.0033232442 0.0038157536 0.0030172188 0.006460004 0.0035049466 0.0047242665 0.0036866493 0.0041265604 0.004743393 0.004150469 0.0033280258 0.0033423707 0.0034236587 0.0026872852 0.0031128516 0.003538418 0.0042747916 0.003227611 0.0030650352 0.004862934 0.0031367599 0.0039113867 0.004456494 0.0038396618 0.0038300985 0.0045186556 0.004050054 0.0033232442 0.004093089 0.0030698169 0.0034762567 0.0032993357 0.0034762567 0.0036723043 0.003294554 0.0029120224 0.005039855 0.004083526 0.0040883073 0.004743393 0.00854002 0.0036149244 0.003729684 0.0049250955 0.004987257 0.004795991 0.0031845763 0.004150469 0.0039305133 0.005986621 0.0057905735 0.0039400766 0.0028833325 0.005326754 0.005106798 0.008927333 0.0067516845 0.0031797946 0.0033328074 0.0033710606 0.003418877 0.003041127 0.002849861 0.0032037029 0.0035766712 0.0029646207 0.0030459086 0.004461276 0.003366279 0.0031176333 0.006044001 0.0037153391 0.0046286336 0.002945494 0.003175013 0.0037488106 0.0049394406 0.0037105575 0.007999694 0.0029933106 0.0048198993 0.0030220004 0.0031702314 0.0031511048 0.0027064118 0.0029502755 0.0030793801 0.0029359306 0.0032132661 0.002959839 0.0029646207 0.003122415 0.0029359306 0.0030602536 0.0029694024 0.0031702314 0.0030459086 0.0029837473 0.0031176333 0.0032897724 0.0034953833 0.002931149 0.003241956 0.0033614973 0.0031415415 0.0030315637 0.0028881142 0.0036292693 0.0028068263 0.0028976775 0.0030028739 0.0031415415 0.003041127 0.002864206 0.0031319782 0.0029980922 0.0030315637 0.0030506903 0.0029837473 0.0027781364 0.0027924813 0.0029550572 0.0030076555 0.0032706459 0.003026782 0.0026968485 0.0030315637 0.0029980922 0.0030506903 0.0031128516 0.0029837473 0.0044086776 0.0036483959 0.0031271966 0.0041122157 0.0038348802 0.0028163895 0.003241956 0.0037679372 0.0032897724 0.0036244877 0.0033328074 0.0028259528 0.0035049466 0.0031941396 0.0027590098 0.0029837473 0.0033280258 0.0030793801 0.0032610826 0.0031128516 0.0029550572 0.0029646207 0.0030745985 0.0030459086 0.0033184625 0.0030363454 0.003041127 0.0030172188 0.003433222 0.0027351016 0.0029215857 0.0029215857 0.0032706459 0.0030602536 0.002974184 0.0030028739 0.0031511048 0.0029120224 0.0030841618 0.002864206 0.005900551 0.003404532 0.0029980922 0.00389226 0.0035336365 0.002782918 0.002959839 0.0028020446 0.0033806239 0.002945494 0.0028737693 0.0031367599 0.0032515193 0.0030124371 0.003567108 0.0035862345 0.003810972 0.0033710606 0.0032610826 0.0032802091 0.0040022377 0.0032180478 0.0034762567 0.010433552 0.014778325 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008858817 9.621305e-05 6.734914e-05 1.924261e-05 0.00011545567 7.697044e-05 9.380773e-05 7.456512e-05 0.00010102371 3.1269243e-05 8.8997076e-05 2.1647937e-05 4.8106525e-05 3.848522e-05 6.494381e-05 5.5322507e-05 0.00412754 0.00014191425 0.000108239685 7.215979e-06 8.659175e-05 2.4053263e-05 1.2026631e-05 3.848522e-05 0.00014431958 2.4053263e-05 5.0511855e-05 9.621305e-06 4.0890547e-05 3.1269243e-05 3.367457e-05 4.57012e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0053614723 7.215979e-06 0.00043055342 9.380773e-05 0.00047144396 0.00028863916 0.0020902285 0.0010342903 0.0 1.2026631e-05 7.215979e-06 2.1647937e-05 1.6837284e-05 9.621305e-06 7.215979e-06 0.0 0.002896013 8.4186424e-05 0.00043536408 9.861838e-05 9.380773e-05 4.8106525e-05 0.0008298376 0.000339151 5.7727833e-05 0.0 9.621305e-06 2.4053263e-06 9.621305e-06 0.0 9.621305e-06 1.2026631e-05 0.005063212 0.00014913024 0.002217711 0.0006061422 0.0006638701 0.0007432458 0.006030153 0.0032183267 0.00021407404 8.1781094e-05 3.6079895e-05 6.2538486e-05 0.00014431958 5.0511855e-05 0.00016356219 0.00025977523 8.659175e-05 2.4053263e-05 0.0010872075 0.0015899207 0.0003006658 0.00017558882 0.0009789679 0.00042574276 3.367457e-05 3.6079895e-05 2.8863917e-05 3.367457e-05 4.0890547e-05 2.645859e-05 3.367457e-05 2.4053263e-05 0.005799242 0.0003102871 0.0011521514 0.0026073738 0.0010030211 0.0006662754 0.0032038947 0.0017703202 0.0008659175 0.0003006658 0.0002838285 0.00032231372 0.00031509774 0.00030547645 0.00033434035 0.00046422798 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.015673107 0.0023740572 0.0028214478 0.0038316848 0.006395763 0.004024111 0.0025039448 0.004363262 0.009977294 0.0006398168 0.0010391009 0.0009092134 0.0040433537 0.0014624384 0.0030788176 0.005828106 0.016981604 0.0042502116 0.0054721176 0.008478776 0.0070067155 0.0076272897 0.005873807 0.005953183 0.009431285 0.0022946813 0.002299492 0.0018833706 0.004774573 0.0023163294 0.004663928 0.009214805 0.045294702 0.045215324 0.04922741 0.04878002 0.04555688 0.04691589 0.052924395 0.047988664 0.045417372 0.045232162 0.046309747 0.044777557 0.04535724 0.045297105 0.04448651 0.045061383 1218.0 15.729064 19158.0 0.097087376 0.001722518 0.0027664683 0.002140098 0.0022444932 0.0075686397 0.002035703 0.0020879006 0.0029752583 0.0024010858 0.0019313081 0.0031840485 0.0028708633 0.0041758013 0.007673035 0.028291054 0.073807284 0.0143543165 0.017068587 0.012370811 0.010230713 0.014563107 0.012057626 0.010543898 0.008351603 0.006785677 0.005271949 0.0018791106 0.012057626 0.0029752583 0.0117444405 0.0022966906 0.0025054808 0.0062637017 0.0052197515 0.009552145 0.0067334794 0.0044367886 0.009552145 0.0051153563 0.0039670113 0.006681282 0.0017747155 0.003445036 0.0062115043 0.0044367886 0.0041758013 0.0037060236 0.00715106 0.0026620734 0.0110136755 0.009186762 0.009708738 0.0044367886 0.004280196 0.0057417266 0.003445036 0.0031318509 0.0026620734 0.004332394 0.0023488882 0.004854369 0.0027142707 0.0023488882 0.0024532832 0.026620733 0.011692244 0.014771896 0.019678464 0.05987055 0.005846122 0.010387305 0.012318614 0.021818561 0.009447751 0.0040192087 0.017538365 0.013988934 0.03403278 0.033667397 0.011170268 0.0026098758 0.025785573 0.023019105 0.042332184 0.011222466 0.0036016286 0.0057417266 0.0063158995 0.0065246895 0.002140098 0.002140098 0.0024532832 0.002035703 0.0014615305 0.0019835057 5.771142 0.0 3.0 0.0 4.0 209133.0 151552.0 0.0 0.0 76.0 0.0 0.0 0.0 0.0 0.0 1232661800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4096675 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.683347 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6414394 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -114168.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28610.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 34096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 320.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.24449186 0.02615558 0.027754067 0.011660493 0.016552584 0.009027218 0.017977934 0.0075656306 0.021875503 0.0041753906 0.017889354 0.004996779 0.0048478018 0.004416975 0.004006281 0.004920277 0.0067764535 0.008954743 0.0058906428 0.005806088 0.0023635046 0.0017353841 0.0030520211 0.0017595426 0.006176518 0.001256241 0.0011998712 0.001578354 0.0022105009 0.0021219198 0.0017434369 0.0034909004 0.0073039136 0.0064140763 0.0010025769 0.0011072636 0.0012602673 0.00095425994 0.0011273957 0.0008093091 0.012900628 0.0012924786 0.006555001 0.0063657593 0.0021621839 0.002142052 0.0027419874 0.0011877919 0.0060919635 0.0016830408 0.0015703011 0.001530037 0.0011112901 0.0016629087 0.0011797391 0.0010267354 0.0011354486 0.0011716862 0.0010871316 0.00068851665 0.0010951844 0.0013850862 0.0012884523 0.0011797391 0.0011515542 0.0021581575 0.001207924 0.0026574328 0.0025285876 0.0016830408 0.0022950557 0.0021863424 0.0018883878 0.001948784 0.00089386373 0.001256241 0.0015541955 0.0017675954 0.0011475278 0.0014817201 0.0024520857 0.0007247544 0.001674988 0.0032171041 0.0024279272 0.0013891126 0.007883717 0.0011435014 0.0011314221 0.00089789013 0.0012119504 0.0006401997 0.0007287808 0.00043887904 0.00067643746 0.01811886 0.0009139958 0.015219842 0.0046223225 0.007384442 0.010984056 0.026228055 0.0038130134 0.010919632 0.0048276694 0.015308423 0.00062006764 0.0069093253 0.009635207 0.004682719 0.013049605 0.01535674 0.008781607 0.001022709 0.014450797 0.012127557 0.018308101 0.0067281364 0.0025366403 0.004167338 0.0026775647 0.00471493 0.0011837655 0.0016508295 0.0010669995 0.001344822 0.0025366403 0.0005999356 0.012131583 0.0035231116 0.0020695764 0.0017998067 0.0010790788 0.0005274601 0.0041552586 0.00051940733 0.00068046385 0.0006925431 0.0004992752 0.00043887904 0.0012481881 0.0008455468 0.0005475922 0.00070864876 0.00068449025 0.0050008055 0.0005274601 0.002504429 0.0005999356 0.0009784184 0.0019809953 0.00052343373 0.0007690449 0.0006643582 0.0008817845 0.0004912224 0.000672411 0.00065630535 0.0005033017 0.00092607504 0.0007328072 0.00055967143 0.0007368336 0.00058785634 0.00092607504 0.0007328072 0.00043485264 0.0003664036 0.0010790788 0.0004549847 0.0009301015 0.00077307137 0.000789177 0.0006361733 0.00072072796 0.0016186181 0.00064422615 0.0005677243 0.0004952488 0.0009301015 0.0008213883 0.00055564503 0.00091802224 0.00078112417 0.001022709 0.0005153809 0.00058382994 0.0006281205 0.00092204864 0.0005113545 0.00047109034 0.00046303752 0.0007328072 0.0005999356 0.00046303752 0.00065227895 0.0008455468 0.0004308262 0.0010549203 0.0006120148 0.00078112417 0.0005798035 0.0005395394 0.00043485264 0.0006401997 0.0005717507 0.0004912224 0.00062006764 0.001062973 0.0005999356 0.00041472056 0.00047914317 0.00056369783 0.0004227734 0.000487196 0.0005395394 0.00065227895 0.0008133355 0.0014011918 0.0014052183 0.0024037687 0.0020695764 0.002017233 0.0013488485 0.0014535352 0.0008415204 0.0008777581 0.0008213883 0.0014293767 0.0008052827 0.00067643746 0.0009381543 0.0006603318 0.00065227895 0.00052343373 0.000418747 0.00074086006 0.000418747 0.00046303752 0.00044693187 0.00064825255 0.00067643746 0.00029795457 0.0005274601 0.0005717507 0.00037043003 0.000535513 0.00058785634 0.00065630535 0.00062006764 0.00034224513 0.00039056208 0.0011797391 0.0059148013 0.0020534708 0.0014052183 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033186916 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00011751167 0.00012561593 0.00015398081 0.00013372018 0.00016208507 0.00013777231 0.010428147 5.470371e-05 9.319891e-05 0.00014182444 9.5224976e-05 0.00037279565 0.0056446125 0.0022955297 4.0521268e-06 6.07819e-06 0.00028567493 0.00028972706 0.0002937792 0.0002714925 0.0002370494 0.00023299728 0.0130397435 0.0012581852 0.0014466092 0.0003808999 0.002567022 0.008475022 0.043341547 0.02037004 0.00013372018 9.319891e-05 6.483403e-05 2.8364886e-05 8.1042535e-06 4.4573393e-05 4.0521268e-06 3.039095e-05 0.19310004 0.018963952 0.0233443 0.007085143 0.009800068 0.015422394 0.07132148 0.040859617 0.004457339 0.003871807 0.003168763 0.0014688959 0.0015195474 0.009220614 0.0044694957 0.0027149247 0.053007893 0.00968053 0.006199754 0.0022246174 0.002526501 0.0021840963 0.0067548947 0.004892943 0.0023765722 0.00076990406 0.0007840865 0.0008833636 0.00058148016 0.0008367641 0.00068886153 0.0010434226 0.036564365 0.005474423 0.0028587752 0.001953125 0.0028689057 0.0033754215 0.006914954 0.0042486545 0.0027797588 0.001310863 0.0007577477 0.00086310296 0.0006989918 0.0009481976 0.0014770002 0.0015945118 0.071151294 0.008201504 0.007494408 0.004971959 0.0040804916 0.0037320086 0.0071520032 0.0049820896 0.008787037 0.0073809484 0.0022955297 0.0018173788 0.0022144872 0.0018497958 0.0022509564 0.0027169508 0.032167807 0.007615972 0.00558383 0.003332874 0.002469771 0.003521298 0.005358937 0.003683383 0.005454162 0.0029580523 0.0011913253 0.0023178165 0.0022266435 0.0011771427 0.0013919055 0.0025366312 0.01050919 0.0028263582 0.0058836876 0.0024251977 0.0018052224 0.0056202994 0.0011426997 0.0007172264 0.0054987357 0.0010029014 0.0022489303 0.0019754118 0.0013858273 0.0015094172 0.0006989918 0.0045424337 0.0011771427 0.00041534298 0.00017626751 0.000160059 0.00019652814 0.0005024637 0.00031606588 0.00012358987 0.00038900416 8.104253e-05 4.862552e-05 0.00019652814 0.00011953773 7.293828e-05 6.483403e-05 0.00010940742 0.0037299825 0.0013351757 0.0018052224 0.0016573197 0.0010474747 0.0013372018 0.0025406834 0.0016066682 0.0012845241 0.00067062693 0.0008266338 0.0005855323 0.0005916105 0.00043762967 0.00044573392 0.00084486837 0.00070912216 0.0002593361 0.0003322744 0.000320118 0.00023097121 0.00021881484 0.00047612487 0.00034037864 0.0002208409 0.000160059 0.00016816326 0.00015195475 0.000127642 0.00012966806 0.00014182444 0.00016208507 4163.0 14.611097 60826.0 0.0026633348 0.00014796304 3.2880675e-05 8.220169e-05 0.00018084372 6.576135e-05 4.9321014e-05 6.576135e-05 0.0002959261 0.0001315227 6.576135e-05 4.9321014e-05 0.00016440338 0.00064117316 0.0028277382 0.00096997997 0.0023509683 0.0013974287 0.001512511 0.001117943 0.0003945681 0.00031236644 0.00016440338 0.0007891362 0.00032880675 0.0002630454 0.00031236644 0.0001315227 0.0001315227 0.00023016473 0.00014796304 0.00014796304 0.00016440338 0.006115806 0.002087923 0.008351692 0.005441752 0.0039456813 0.0033867096 0.006609016 0.0041100844 0.0047841384 0.00096997997 0.0025975734 0.0026468944 0.004619735 0.0024002893 0.0034853516 0.0056554764 0.0001315227 0.0044060107 0.009124388 0.0067405384 0.0020714826 0.001167264 0.002186565 0.00046032947 0.00044388912 0.0003945681 4.9321014e-05 0.00014796304 3.2880675e-05 1.6440337e-05 0.07110446 9.864203e-05 0.057919312 0.014451057 0.027488245 0.041528292 0.10270279 0.013004308 0.04187354 0.016160851 0.057771347 0.0006904942 0.025663368 0.034935717 0.015980009 0.047972906 0.051491138 0.030776313 0.0010521816 0.054729886 0.041183047 0.06862197 0.022786308 0.0086640585 0.012494657 0.007151547 0.016703384 0.0019564002 1.6440337e-05 6.576135e-05 0.0 3.2880675e-05 1.6440337e-05 4.9095683 1.0 14.0 0.0 1.0 248360.0 270336.0 1.0 0.0 1.0 1.0 1.0 1.0 0.0 0.0 1406834800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 239616.0 512.0 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 -239616.0 0.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.001154 0.0 3.1218297 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 -239444.0 0.0 688.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 87.0 247540.0 688.0 253952.0 0.0 0.0 6696.0 241664.0 12.0 262144.0 28.0 247428.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.20261517 0.004653033 0.003123564 0.0028363396 0.003540039 0.0023983226 0.0022188073 0.003123564 0.0045309626 0.0023624196 0.002261891 0.002175724 0.0028578814 0.0022403493 0.0020895565 0.002355239 0.0026568244 0.0023624196 0.0022188073 0.0021254595 0.0025419348 0.002283433 0.0019603055 0.0020895565 0.0018741384 0.0020177504 0.0019028607 0.0016012753 0.0018454159 0.001787971 0.0018597771 0.0017664293 0.0046099494 0.0017664293 0.0017807904 0.0016946231 0.0021685432 0.004983341 0.0018095128 0.0017448874 0.002391142 0.0018238741 0.0020321116 0.0018023322 0.0019100413 0.0017089844 0.0032958984 0.0015581916 0.0018956801 0.0017089844 0.0017448874 0.0022547105 0.0019244025 0.001752068 0.002060834 0.0017736098 0.0021254595 0.0017951516 0.001881319 0.001716165 0.0018095128 0.0018310547 0.0018238741 0.0018956801 0.011280733 0.0045955884 0.0023480584 0.0027860755 0.0075468174 0.011848001 0.0028794233 0.0053208293 0.0025491153 0.0045740465 0.002154182 0.0021254595 0.0025132124 0.0087890625 0.004294003 0.0020823758 0.0070728976 0.003597484 0.0030804803 0.0026209215 0.0024055033 0.0044376147 0.0019459444 0.0020823758 0.0044447957 0.00201057 0.0018884996 0.0020033892 0.0026855469 0.002936868 0.001953125 0.0019100413 0.0020177504 0.0032743567 0.0018669578 0.002649644 0.0032815372 0.0054644416 0.001752068 0.0021900851 0.0048469095 0.0032958984 0.0035184973 0.0018095128 0.0028076172 0.0022906135 0.0031379252 0.002994313 0.0036980123 0.0016084559 0.002922507 0.0025491153 0.0051556756 0.0031092027 0.0021470014 0.009894876 0.002060834 0.001881319 0.0020392924 0.001716165 0.0020895565 0.0021613627 0.0018238741 0.0018023322 0.0061753215 0.0021254595 0.0016515395 0.0033820658 0.002175724 0.024363799 0.0019387638 0.001881319 0.0022762523 0.0048828125 0.002175724 0.011618221 0.0022116269 0.006498449 0.0018884996 0.0019746667 0.0024414062 0.0019674862 0.0019603055 0.0020823758 0.0023480584 0.0020321116 0.0021972656 0.001989028 0.0021039178 0.00201057 0.0018238741 0.0018669578 0.002283433 0.0019315832 0.00201057 0.001644359 0.0020536536 0.0021829044 0.0022977942 0.0022547105 0.0019674862 0.0018669578 0.0021039178 0.0020321116 0.0019962087 0.0016802619 0.0019028607 0.0019674862 0.00201057 0.0018095128 0.0015294692 0.0018238741 0.0022331686 0.0016587201 0.0015940947 0.001752068 0.0017233456 0.002592199 0.002699908 0.002649644 0.0026711856 0.0020823758 0.0015653722 0.0017448874 0.0021326402 0.0018382353 0.0020321116 0.0019028607 0.0040570428 0.0019603055 0.002462948 0.0027645335 0.0019244025 0.001881319 0.02640309 0.0033102597 0.0022977942 0.0020033892 0.0019818475 0.0015725528 0.006735409 0.0016874425 0.0018741384 0.0019962087 0.0028004367 0.0024342258 0.0027429918 0.0023767808 0.0024198645 0.0017448874 0.0019244025 0.0016730813 0.0021326402 0.0017305262 0.0016156365 0.0018238741 0.0026209215 0.0015797334 0.0018956801 0.0014863856 0.0022403493 0.0022977942 0.0015725528 0.0016299977 0.003030216 0.0026424632 0.002556296 0.001716165 0.009614833 0.0026137407 0.0019746667 0.0022906135 0.0041360296 0.001787971 0.0018382353 0.0017736098 0.003209731 0.0018597771 0.0019244025 0.0021829044 0.003540039 0.0038990695 0.0039493334 0.0038129021 0.0043586283 0.0038631663 0.0036046645 0.0038344439 0.008099725 0.003504136 0.004925896 0.06356273 0.04427445 0.0 0.0 7.233796e-06 1.4467592e-05 1.0850695e-05 4.340278e-05 2.5318286e-05 1.0850695e-05 0.0 0.0 3.616898e-06 1.0850695e-05 0.0 2.170139e-05 2.170139e-05 0.0069986978 3.616898e-05 1.0850695e-05 1.4467592e-05 1.808449e-05 1.0850695e-05 2.170139e-05 2.170139e-05 0.00016276042 1.808449e-05 2.170139e-05 1.4467592e-05 1.4467592e-05 1.0850695e-05 1.0850695e-05 2.170139e-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 0.013104022 0.00013382523 9.765625e-05 0.000101273145 0.0056966147 0.002090567 0.00018446181 0.000101273145 8.318866e-05 1.4467592e-05 1.808449e-05 3.616898e-05 3.2552085e-05 0.00012297454 2.8935185e-05 0.0003761574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.005895544 5.0636572e-05 6.148727e-05 6.510417e-05 0.00011574074 0.00013020834 0.00017361112 0.000108506945 0.00013020834 7.957176e-05 4.7019676e-05 3.978588e-05 0.0001916956 0.00014467593 7.233796e-06 0.00016637731 0.020659722 0.0005967882 0.00069444446 0.00027850116 0.001349103 0.0006510417 0.0010452835 0.0018337674 0.001135706 9.403935e-05 0.000101273145 0.000101273145 8.318866e-05 4.7019676e-05 0.00031828703 0.00064019096 0.019212963 0.00016999421 0.0017867477 0.00027126737 0.0017939815 0.00088252313 0.0057978877 0.0063331886 9.403935e-05 3.616898e-06 1.4467592e-05 0.00014829282 3.2552085e-05 1.0850695e-05 5.787037e-05 0.000426794 0.015049913 0.00029296876 0.000499132 0.0003616898 0.0013671875 0.00043402778 0.0029911748 0.0061559607 0.00041956018 0.00022424769 0.00011574074 0.00024594908 0.0001880787 0.00015914351 0.00026403356 0.00086082175 0.019585503 0.00086805556 0.0014431423 0.00033275463 0.007353154 0.0029296875 0.0012948496 0.0006727431 0.0018699364 0.000604022 0.0005280671 0.0013563368 0.0011465567 0.00047743056 0.00135272 0.002629485 0.016344763 0.0027416088 0.0024305556 0.0024377895 0.0062644677 0.0029875578 0.0036783854 0.002983941 0.02156033 0.0028175637 0.0024052372 0.0045030382 0.021296296 0.0025318286 0.0024667245 0.05810547 0.011349826 0.0009548611 0.00041956018 0.0006004051 0.0046115452 0.0011827257 0.00067997683 0.0010054976 0.004354745 0.0023582175 0.0015154803 0.0011682581 0.0033854167 0.0009837963 0.0008463542 0.009027778 0.0216182 0.001598669 0.0015661169 0.0007269965 0.007693142 0.0035626446 0.0032479744 0.002170139 0.009132667 0.0014105903 0.001099537 0.0007233796 0.004759838 0.0010561342 0.005787037 0.0079210065 0.023784723 0.0019784432 0.0031901042 0.0009729456 0.012677228 0.006318721 0.0038917824 0.0022171587 0.014080584 0.0024739583 0.001631221 0.001385272 0.00942202 0.0038194444 0.007957176 0.01531033 0.004123264 0.00066912617 0.0010271991 0.00065827544 0.0025643809 0.00078848377 0.001208044 0.001063368 0.0015480324 0.0006546586 0.00052083336 0.0006257234 0.0019784432 0.0010850695 0.0012152778 0.0024920427 0.022323495 0.022978153 0.024052372 0.02337963 0.023918547 0.024410445 0.023173466 0.022254774 0.02313368 0.02216797 0.023676215 0.022728588 0.02281901 0.022674335 0.023687067 0.022992622 475.0 14.227368 6758.0 0.009766203 0.0023675645 0.003255401 0.0017756732 0.0016277005 0.005179047 0.0020716188 0.0025155372 0.0041432376 0.0028114826 0.0028114826 0.0022195915 0.0011837822 0.0029594554 0.007102693 0.003255401 0.0038472922 0.00266351 0.0029594554 0.006066884 0.0031074283 0.0017756732 0.0031074283 0.0020716188 0.0036993194 0.0019236461 0.0036993194 0.0029594554 0.0016277005 0.0028114826 0.0025155372 0.003255401 0.003255401 0.052974254 0.0028114826 0.0075466116 0.10580053 0.006066884 0.008138503 0.059337083 0.004439183 0.050014798 0.003255401 0.00266351 0.0048831017 0.0054749926 0.048831016 0.0038472922 0.050310742 0.0014797277 0.004439183 0.009322285 0.006510802 0.0036993194 0.0038472922 0.003995265 0.04809115 0.0035513465 0.00266351 0.0034033738 0.005179047 0.003255401 0.0016277005 0.007102693 0.0031074283 0.010802013 0.0019236461 0.007102693 0.008138503 0.027374962 0.003995265 0.0059189107 0.0029594554 0.0139094405 0.0038472922 0.0017756732 0.013613495 0.010062149 0.00799053 0.010949985 0.016129032 0.0031074283 0.011097958 0.0068067475 0.01923646 0.0062148566 0.00266351 0.14634508 0.0041432376 0.0050310744 0.0023675645 0.0014797277 0.0028114826 0.0016277005 0.0036993194 0.0028114826 5.2638874 0.0 0.0 0.0 3.0 139264.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1386751700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 49152.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.020018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9761837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.8010726 0.0 7.4298024 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2352.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45078.0 0.0 71324.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 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 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 -1.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 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 -1.0 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 -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 1.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 -1.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -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 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 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 -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 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 -1.0 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 1.0 0.0 2.0 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 -1.0 0.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 160.0 58272.0 71324.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1208.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.40941823 0.008848041 0.00962724 0.009519478 0.008534152 0.008849699 0.008878436 0.010675012 0.011168504 0.0045828996 0.007810216 0.0030040569 0.006314819 0.0011455868 0.0010168257 0.0013848724 0.0030394245 0.0015280016 0.0010759563 0.0007316724 0.0009637739 0.0013666359 0.0009488531 0.00057914853 0.0010510883 0.0006819364 0.0004194406 0.00040783553 0.00074935635 0.0008090396 0.0004000988 0.00040673028 0.003290868 0.00097593165 0.0007510142 0.00055207004 0.0018330493 0.00067364704 0.00083832856 0.00035920474 0.0012865056 0.00048354483 0.00074935635 0.004985209 0.0009018802 0.000707357 0.00093724806 0.0007780927 0.005603594 0.005717434 0.0015512118 0.001486555 0.0007758822 0.000599043 0.00085932825 0.0014025563 0.001486555 0.001214112 0.0009582477 0.0009289587 0.0005968325 0.0007244883 0.00079522404 0.0003536785 0.003043293 0.0019336267 0.0007736717 0.0017954711 0.0024669075 0.002768087 0.0014948443 0.00067862065 0.0010577198 0.0022038592 0.00045204535 0.00044762436 0.0011378501 0.001297558 0.0010483252 0.0013506098 0.0026658517 0.0006681208 0.0015639222 0.0021839647 0.0013262944 0.0028653485 0.010713143 0.0016882622 0.0007184095 0.0007642771 0.00044265075 0.00088916987 0.0074896947 0.0017507086 0.0012909266 0.0015711063 0.0009355902 0.0027896392 0.005264836 0.0024359608 0.0021508073 0.00551849 0.0014202403 0.0013246365 0.0020828347 0.0033560775 0.0012621902 0.0006404897 0.002356383 0.0013467415 0.002854296 0.0036815722 0.0020292304 0.0005001235 0.0041850116 0.003170949 0.005302967 0.002873638 0.0009267482 0.00090022234 0.0009648792 0.0024121979 0.005313467 0.0016921306 0.0007941188 0.00085214415 0.0007919083 0.00046365042 0.04987585 0.048426323 0.0010941928 0.0020889137 0.00071509375 0.0013174524 0.0026454048 0.008193184 0.0011787441 0.0020850452 0.00048409746 0.0063617923 0.0005625699 0.002279016 0.00047746598 0.00042496683 0.0008515915 0.00052001793 0.0007432775 0.00057914853 0.0006520947 0.0005371492 0.00075875095 0.00045370322 0.00054543855 0.0006333056 0.00040286192 0.00034759965 0.0005443333 0.0003536785 0.0010765089 0.00044430862 0.0006476738 0.0005443333 0.0007045939 0.0010411411 0.006932099 0.009748264 0.0009632213 0.00095216883 0.0005531753 0.00044099288 0.0012367695 0.009211115 0.009906314 0.0010770615 0.00057970115 0.00048630795 0.00074493536 0.00047967647 0.0027189036 0.001356136 0.00046365042 0.00037854654 0.0005095181 0.00040065142 0.00078417157 0.00078417157 0.00057472754 0.00042938782 0.00047249236 0.00033986295 0.00041336176 0.00047691335 0.0023337256 0.00066425244 0.00092066935 0.0009626687 0.00065762096 0.00037965178 0.0006388318 0.0008234078 0.0008648545 0.0007847242 0.00046365042 0.0004244142 0.002029783 0.0003829675 0.0007371986 0.0007460406 0.0023514095 0.0012168752 0.00053659664 0.00044099288 0.00052941253 0.00033986295 0.002649273 0.008916567 0.0006222531 0.00037909916 0.0003365472 0.0004094934 0.00052720204 0.0002735482 0.00045425582 0.00033765245 0.00079909235 0.00057749066 0.00040341454 0.00032991573 0.00055925414 0.00028902164 0.00075985614 0.00039899355 0.0030692662 0.0005968325 0.0002901269 0.00083169714 0.0008488284 0.00039180947 0.0003194159 0.0004780186 0.0013909512 0.00054985954 0.0005874379 0.00050675496 0.0005559384 0.0002735482 0.00051559694 0.0004680714 0.00091569574 0.0004780186 0.00026746938 0.00031831066 0.0008217499 0.0003509154 0.00040617766 0.04627883 0.24957365 1.0783108e-05 9.124168e-06 1.9354297e-06 5.280958e-05 2.3778135e-05 1.5483438e-05 6.635759e-06 2.7648994e-07 0.0 0.0 2.7648994e-07 0.0 0.0 0.0 2.2119197e-05 0.014483096 9.677148e-05 3.8985083e-05 5.8339378e-05 0.00020543204 0.00010976651 0.00012829134 6.5251625e-05 1.18890675e-05 8.2946985e-07 8.2946985e-07 1.2995028e-05 3.0413894e-06 1.3824498e-06 5.529799e-07 7.1334405e-05 0.027449645 0.00012801484 0.00018801316 0.0004042283 0.0008670725 0.0004506786 0.00016699993 0.00012607942 0.00010672512 1.4377478e-05 2.0736747e-05 1.3824498e-05 4.1197003e-05 8.294698e-06 1.4377478e-05 1.1059598e-05 0.012771348 0.0004368541 0.0002615595 0.00020736746 0.00020792044 9.3177114e-05 0.00019216051 0.0001266324 9.041221e-05 5.8062888e-05 3.2902302e-05 3.7879123e-05 4.783276e-05 4.866223e-05 4.3132433e-05 6.663408e-05 0.012807014 0.00029612074 0.000398422 0.00053998485 0.00046588556 0.0009953638 0.00041058759 0.0014109282 0.015182063 0.00015732278 0.002683888 2.3501645e-05 0.00015317544 1.8801316e-05 3.3731772e-05 9.7047974e-05 0.006290976 0.00014985756 0.00051593024 0.00024220519 0.000357225 0.0023457408 0.00032598164 0.0017131317 0.029860638 0.00021953302 0.006665896 9.566552e-05 0.00014460424 0.00018469528 3.9261573e-05 0.00011253141 0.016569214 0.00035335415 0.00063979777 0.00041086407 0.0004816455 0.0027554987 0.0028514408 0.0010841171 0.014526782 0.00014183934 0.0041440316 0.0001620231 0.00013658604 0.0006016421 0.00010810757 0.003730679 0.041342158 0.0008891917 0.0016451152 0.0013091799 0.0029990864 0.0044957264 0.010870756 0.008679296 0.018865462 0.00025962407 0.009246377 0.0017062195 0.0009353655 0.0053077773 0.0010993241 0.013225896 0.05419203 0.0013763669 0.0031049822 0.003314285 0.002667022 0.005564913 0.0061325473 0.005002809 0.01750928 0.0032094952 0.011388345 0.0035857982 0.002613936 0.005278746 0.0014247528 0.020860061 0.01879468 0.0017352509 0.0035387948 0.0032553927 0.002228509 0.005809607 0.006192269 0.0035346474 0.011093883 0.0005831173 0.0053683287 0.0008206222 0.00045206107 0.002666469 0.00030137404 0.0015751632 0.012530248 0.0010736105 0.0019456598 0.004555725 0.001401804 0.004834703 0.0048366385 0.002313115 0.004547983 0.0005715047 0.001690736 0.000826152 0.0006494749 0.0018505473 0.00037768527 0.0012945259 0.0069692056 0.00063869177 0.000825599 0.0014548901 0.00086458406 0.0005817349 0.0010105708 0.00096024957 0.00089195656 0.00041860578 0.00031685748 0.00023003964 0.0003873624 0.00038597998 0.00029114392 0.00076007086 0.008846019 0.001293973 0.0012303803 0.0020764396 0.0011853124 0.0014399596 0.0012718538 0.0014443835 0.0014792213 0.0006989666 0.00065058086 0.0005880941 0.00092790026 0.000700902 0.00096412044 0.0018157095 0.009843872 0.0020960702 0.0014161816 0.0018823436 0.0030554903 0.0029606544 0.0015596797 0.0023540354 0.00457342 0.00069537223 0.0007114086 0.0008363821 0.0020457492 0.000907993 0.0016929479 0.0041385014 0.017652225 0.0043538874 0.004035371 0.005045112 0.006673085 0.0059622293 0.0031221246 0.004118871 0.009417248 0.0022196614 0.0019746912 0.0022614114 0.005167321 0.002268047 0.004468907 0.0067637735 0.0005012763 0.00022423334 0.0003107747 0.0003052449 0.00018773667 0.00017750655 0.00034340052 0.000247182 0.00013409763 0.00020073171 0.00015455789 0.00013105624 0.00011584929 0.00010008936 8.958275e-05 0.00017418867 7389.0 15.908242 117546.0 0.017712215 0.004968268 0.0020927978 0.0014972861 0.002900992 0.0019311588 0.00081670156 0.0010889354 0.0009272965 0.0011144573 0.0021693634 0.05222636 0.0030881527 0.0024501046 0.0053170673 0.0014207204 0.0067377877 0.07279703 0.015049428 0.0024756265 0.0017865347 0.0013866911 0.0016844469 0.011765607 0.010566076 0.0021523489 0.0012675888 0.0017354907 0.001131472 0.002569207 0.0064230175 0.001216545 0.0030881527 0.009647287 0.0027563677 0.010310857 0.015466286 0.00897521 0.0036581424 0.0042196247 0.0041685808 0.007911797 0.0007656577 0.0021353343 0.0056488523 0.0044918586 0.0055722864 0.009034761 0.008490293 0.0015057934 0.01463257 0.011365763 0.008243581 0.019839041 0.085753664 0.0060146665 0.0023054804 0.0014037058 0.0008762527 0.0033688939 0.055467647 0.0032497917 0.00082520884 0.0091028195 0.00091878924 0.02161707 0.046747655 0.019354125 0.011765607 0.049946405 0.0057849693 0.009247444 0.0068739047 0.02707876 0.0009272965 0.0018120565 0.01725282 0.009451619 0.022680482 0.027487112 0.010353394 0.00047640924 0.03210658 0.023463154 0.038529597 0.011365763 0.0040494786 0.004262161 0.002764875 0.008124479 0.0055382573 0.0015313154 0.0018290712 0.00047640924 0.0030371088 0.00038282885 5.5645833 0.0 20.0 0.0 17.0 1809553.0 462848.0 1.0 0.0 64.0 0.0 1.0 0.0 0.0 0.0 1017888900.0 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 -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 5.0 1.0 7.0 1.0 5.0 1.0 4.0 0.0 11264.0 1024.0 4096.0 3.0 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 -440320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -11264.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.15283322 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9317713 0.0 3.7689204 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -441360.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10966.0 0.0 2184.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 180.0 13408.0 2184.0 458752.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 4384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 288.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.59132177 0.003374791 0.0026707929 0.0023129273 0.005884251 0.002000528 0.0019066615 0.0018333284 0.003679857 0.001478396 0.0012275968 0.0015341293 0.0027382593 0.001726262 0.0014211962 0.0036417237 0.005197853 0.0010486639 0.0011762636 0.0009371975 0.0014901294 0.001748262 0.0010691972 0.00076706463 0.0012290634 0.000856531 0.00085213105 0.0009826641 0.0012759966 0.0009533308 0.0007787979 0.00093426416 0.0020063946 0.0007685313 0.0008183978 0.0009137309 0.0016529289 0.0009063976 0.00074653135 0.000869731 0.00096653076 0.0007817313 0.0008154645 0.0013302631 0.0008301311 0.00085213105 0.00094013085 0.00070693146 0.0010603971 0.00074359804 0.00083599775 0.0030726586 0.00082866446 0.0010647972 0.00072306476 0.000739198 0.0010163973 0.0015165292 0.0010794637 0.0021633275 0.003522924 0.0015473292 0.00092693086 0.0007509313 0.0018494617 0.0028189258 0.0021119944 0.001622129 0.0027895926 0.0045671877 0.0014270629 0.0036329236 0.0012642633 0.0009327975 0.00076999795 0.00070693146 0.0010897304 0.004348655 0.0008770643 0.0009606641 0.0029993253 0.0013082632 0.00094306417 0.0018333284 0.0011366636 0.0016162624 0.0022410606 0.001956528 0.00093133084 0.0017893285 0.0010765304 0.0013053298 0.0010471973 0.0015649291 0.0014519962 0.0011923969 0.0010325306 0.0012789299 0.0007406647 0.0010867971 0.0016367956 0.0021105276 0.0016969288 0.0008345311 0.0016910621 0.0012246635 0.0022029274 0.00070693146 0.0014593294 0.0008594644 0.0010985304 0.0012627966 0.0014945293 0.0010031973 0.001752662 0.0013449298 0.0043061217 0.0049294536 0.001104397 0.0014593294 0.0009899974 0.0010222639 0.00073773134 0.0032941245 0.001031064 0.0018817283 0.0009195976 0.00088733097 0.0016191957 0.0011689302 0.0033146578 0.004414655 0.0018142618 0.003964389 0.0009855974 0.0009034643 0.004169722 0.0034378576 0.006492916 0.0074990466 0.0009885307 0.0031782582 0.0033542577 0.0007905312 0.0007978645 0.0006541316 0.00064826495 0.0008535977 0.0009445308 0.0008594644 0.0006629316 0.0005939984 0.00079639786 0.001009064 0.00068346487 0.0034290575 0.0008579977 0.0008007979 0.0006423983 0.0009811973 0.0008183978 0.0010838638 0.0006761315 0.0009723974 0.0035214573 0.0034070576 0.0009019976 0.0008403978 0.0009093309 0.0006775982 0.0006570649 0.00068786484 0.00085213105 0.0007025315 0.0006614649 0.000752398 0.0008462644 0.0006599982 0.00097093073 0.0006233317 0.0008037312 0.0008183978 0.0013170631 0.0009445308 0.0014314628 0.00074653135 0.0007259981 0.000761198 0.0009225309 0.00076706463 0.0035390572 0.00073773134 0.0031767916 0.0014886627 0.0041330555 0.002248394 0.003983456 0.0034437242 0.004122789 0.0018318618 0.0011527969 0.0014475961 0.0009166642 0.00094013085 0.00128773 0.00084186444 0.00094306417 0.0007919979 0.0010691972 0.0009019976 0.0010911971 0.0010061306 0.00088439765 0.00067906483 0.00082133117 0.00076266465 0.0011073304 0.00069813145 0.0006731982 0.0010295972 0.00083599775 0.000621865 0.0006497316 0.0006922648 0.001626529 0.0008726643 0.00073039805 0.0006893315 0.0010941304 0.0008579977 0.00075679796 0.0007641313 0.0045290547 0.0013757297 0.00072306476 0.0020518613 0.0016837289 0.0006658649 0.0006966648 0.0011454637 0.0015267959 0.00085213105 0.0017863952 0.0012129301 0.0010765304 0.0007201314 0.001622129 0.0011630636 0.0019095949 0.0008227978 0.00083306443 0.0014769294 0.0018069285 0.0008931976 0.0015443959 0.023372738 0.5361181 4.41218e-06 2.9414532e-06 1.4707266e-06 3.6768167e-06 2.9414532e-06 1.4707266e-06 0.0 1.4707266e-06 0.0 1.4707266e-06 1.4707266e-06 5.147543e-06 0.0 0.0 0.0 0.0014295463 1.4707266e-06 2.20609e-06 2.20609e-06 7.353633e-07 0.0 7.353633e-07 1.4707266e-06 1.4707266e-06 7.353633e-07 0.0 0.0 2.20609e-06 0.0 6.61827e-06 5.6622976e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024789097 6.7653426e-05 4.853398e-05 1.2501177e-05 5.735834e-05 1.9119447e-05 2.5737716e-05 2.647308e-05 1.1765813e-05 9.559723e-06 1.764872e-05 9.559723e-06 1.764872e-05 2.0590172e-05 5.515225e-05 0.00013383613 0.0036393132 8.383142e-05 7.059488e-05 3.088526e-05 0.00016766285 4.853398e-05 6.544733e-05 6.324125e-05 3.309135e-05 2.5737716e-05 2.867917e-05 1.6913356e-05 1.8384084e-05 2.5737716e-05 8.0889964e-05 0.00011912886 0.0010971621 1.4707267e-05 1.4707267e-05 1.3971903e-05 0.00011324595 3.1620624e-05 1.2501177e-05 8.088997e-06 3.8974256e-05 1.3971903e-05 1.1765813e-05 9.559723e-06 1.2501177e-05 2.20609e-05 8.162533e-05 9.559723e-06 0.002773055 3.088526e-05 0.0001904591 7.280097e-05 9.853869e-05 0.00010074478 0.00061035156 0.0003412086 2.5737716e-05 2.647308e-05 1.103045e-05 2.3531626e-05 3.750353e-05 1.9119447e-05 1.9119447e-05 0.00013751294 0.008324313 0.00038385965 0.0003831243 0.0002867917 0.00065226725 0.00025517106 0.00051622506 0.00032870742 0.00016177993 0.00015074949 0.00016913356 0.00014339585 0.00015148484 0.00017795793 0.0003331196 0.0011361364 0.005710096 0.0004934288 0.0004971056 0.0005632883 0.00097582716 0.00052431406 0.0022921276 0.0013464503 0.00016398603 4.5592526e-05 7.3536336e-05 6.250588e-05 0.00013677758 0.00012795322 0.0002485528 0.0002926746 0.0047651543 0.00021178465 0.00071256707 0.00030223432 0.00068462326 0.0003809182 0.0021744694 0.0012089373 0.00016472138 0.000118393495 0.000111775225 0.00011251059 0.00016104458 0.00014486657 0.00020148956 0.0005927028 0.006085867 0.0006419722 0.0006000565 0.00030811725 0.0007037427 0.0008949372 0.00077433756 0.0005096068 0.001153785 0.00028973314 0.00018604692 0.00016104458 0.00022207973 0.0001764872 0.0002345809 0.0021178464 0.00804561 0.0025112657 0.0006507966 0.0021774108 0.0037643248 0.00070889026 0.00068830006 0.002264919 0.009242047 0.002037692 0.0035731304 0.0019406239 0.0068153474 0.00029561605 0.00043239363 0.003044404 0.017073667 0.0031113222 0.0021082866 0.0027855563 0.0046724984 0.0045371917 0.0020347503 0.004422475 0.009546487 0.0015435276 0.0016780992 0.0020921086 0.0051519554 0.0017531061 0.0038488917 0.011953331 0.023062464 0.0051659276 0.0028715937 0.0053541805 0.009987704 0.008349315 0.0037805028 0.007257301 0.015005088 0.0018126706 0.0026105398 0.0025112657 0.008197095 0.0026730457 0.0069565373 0.014886695 0.009054529 0.008514772 0.007751465 0.009629583 0.009792834 0.008553746 0.007939718 0.010324501 0.012284244 0.00908762 0.009531044 0.009450889 0.011587855 0.008097821 0.0077632307 0.008226509 1261.0 9.211737 11616.0 0.031938706 0.0029269971 0.0035296143 0.003357438 0.0031852617 0.0025826446 0.0028409092 0.006628788 0.0030991735 0.003357438 0.0030991735 0.0024965564 0.0029269971 0.0046487604 0.0060261707 0.0030991735 0.0057679066 0.004046143 0.004476584 0.0043044076 0.003787879 0.0024104684 0.0049931128 0.003443526 0.0025826446 0.010933195 0.009727961 0.004820937 0.00327135 0.009383609 0.0031852617 0.0036157025 0.0056818184 0.014548898 0.0053374656 0.011535813 0.0070592286 0.008006198 0.010416667 0.010244491 0.007317493 0.007317493 0.0030991735 0.0035296143 0.008178375 0.0074035814 0.004907025 0.0057679066 0.012741047 0.004820937 0.0076618455 0.02143595 0.009297521 0.005509642 0.015581956 0.019972451 0.0035296143 0.0047348486 0.010244491 0.009125344 0.004132231 0.004476584 0.0049931128 0.007231405 0.0074896696 0.031680442 0.0074035814 0.022469008 0.020230716 0.06491047 0.008350551 0.009900138 0.00981405 0.033143938 0.00559573 0.004046143 0.027720386 0.012654958 0.02935606 0.037964877 0.013774104 0.010502755 0.038050964 0.023588154 0.05182507 0.030130854 0.007920111 0.013343664 0.0077479337 0.010674931 0.0052513774 0.0039600553 0.0028409092 0.0076618455 0.0037017907 0.0039600553 6.0258484 0.0 0.0 0.0 11.0 681820.0 880640.0 1.0 0.0 120.0 0.0 1.0 0.0 0.0 0.0 1454528300.0 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 9.0 0.0 5.0 0.0 5.0 0.0 117760.0 1024.0 4096.0 5.0 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 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -249344.0 0.0 404992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1129994 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.5307589 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6682415 0.0 0.81115294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20163.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -192680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -252521.0 0.0 404584.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 -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 51.0 142992.0 40.0 140220.0 404584.0 339968.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 123472.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 135168.0 0.0 0.0 484.0 122880.0 256.0 137884.0 0.0 0.0