Input: 0.22752796 0.010739413 0.0052545723 0.00571511 0.010803223 0.003967285 0.004425049 0.0029546565 0.012268066 0.001747825 0.0021168103 0.0017894398 0.007795854 0.0021168103 0.0013289019 0.007970637 0.007166082 0.001747825 0.0012900613 0.0009571422 0.004250266 0.0044278232 0.0011624423 0.0008905584 0.0028547808 0.0012345747 0.0007573908 0.001143022 0.0022166858 0.0009654652 0.0007906827 0.0011374734 0.006203391 0.00077126245 0.0011457964 0.0009404963 0.008458918 0.0010043058 0.0007130016 0.0006353205 0.0020419033 0.0005937056 0.00078513403 0.0022222346 0.0012845126 0.0008544922 0.001270641 0.0005937056 0.0021473279 0.0008739125 0.00081842596 0.0066722524 0.001381614 0.001262318 0.00086836383 0.00078235974 0.001986417 0.002763228 0.0010792125 0.004991011 0.0017977628 0.0019059614 0.0009016557 0.0013205789 0.007063432 0.004222523 0.0022971414 0.011100075 0.01282848 0.011061235 0.004255815 0.0017533735 0.0026189631 0.0014315519 0.0012179288 0.00085726654 0.0028409092 0.0060202857 0.0021528765 0.001373291 0.009490967 0.003709273 0.0023859197 0.004705256 0.0030462092 0.0036232688 0.006949685 0.0049244273 0.0016451749 0.004147616 0.00087668677 0.0019226074 0.0018976385 0.0033291904 0.00370095 0.0027021929 0.0015563965 0.0030240146 0.001143022 0.0024497292 0.0028797498 0.0060175117 0.0035261675 0.0012817383 0.0052712183 0.0029713025 0.007490678 0.0010431464 0.003293124 0.0013843883 0.0031655051 0.0033735796 0.0030684038 0.0007906827 0.0036177202 0.002857555 0.015203303 0.014751088 0.0021806196 0.0018615723 0.0018532493 0.0013843883 0.00066861237 0.0007130016 0.002080744 0.0041836826 0.0021722966 0.0013178046 0.0036621094 0.0025135388 0.00082952325 0.014282227 0.0028769753 0.009507612 0.0008628152 0.0007240989 0.0022583008 0.011480158 0.0016063344 0.030728428 0.0014648438 0.008503307 0.0007879084 0.0008711381 0.0017894398 0.001151345 0.001731179 0.0014398749 0.0017173074 0.0018449263 0.0006658381 0.0006242232 0.0013261274 0.0008433949 0.0005687367 0.0006353205 0.0009488193 0.0006935813 0.0005298961 0.0010597922 0.0011707653 0.0019975142 0.000690807 0.0014371005 0.0014204546 0.0017672452 0.00063254614 0.00062977185 0.0014509722 0.0008988814 0.0010847612 0.00078235974 0.0010903098 0.00097378815 0.0006797097 0.0007407449 0.0015036843 0.0006436435 0.00080178 0.0006797097 0.0011069558 0.0007379705 0.0020058372 0.0013760653 0.0030267888 0.0010514692 0.00097378815 0.0010514692 0.0013011586 0.00071577594 0.001143022 0.0009932085 0.009188565 0.0032681553 0.0043806597 0.005723433 0.0039423164 0.00097378815 0.0032542835 0.0044555664 0.0029463335 0.003079501 0.0010292747 0.0016451749 0.006081321 0.00082120026 0.0020474521 0.0012956099 0.0021944912 0.0013594194 0.0016812411 0.0012900613 0.0014065829 0.0008322976 0.0012207031 0.001151345 0.0020530007 0.0008739125 0.0008322976 0.0014315519 0.001459295 0.0006436435 0.0005687367 0.00072687323 0.0024608264 0.0010237261 0.00072687323 0.0006464178 0.0023415305 0.00078513403 0.0007102273 0.00057705963 0.01652943 0.0032792524 0.0005937056 0.005193537 0.004339045 0.00056596234 0.0006242232 0.00063254614 0.0040227715 0.0019253817 0.0013039329 0.0011929598 0.001978094 0.0006658381 0.0035955256 0.0019558994 0.0040838066 0.0012179288 0.0008739125 0.0013538707 0.0051047583 0.0018893156 0.004452792 0.05909313 0.022792023 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0026792868 7.790242e-05 2.7822293e-06 1.3911147e-06 2.7822293e-06 0.0 0.0 1.3911147e-06 2.7822293e-06 0.0 0.0 0.0 1.3911147e-06 0.0 0.0 7.929354e-05 0.0051707732 8.903134e-05 1.3911147e-05 8.346688e-06 1.808449e-05 9.737802e-06 1.3911147e-06 1.3911147e-06 6.9555736e-06 0.0 2.7822293e-06 1.3911147e-06 2.7822293e-06 0.0 1.3911147e-06 0.0003700365 0.010053585 6.3991276e-05 0.00014884927 0.00010294249 8.346688e-05 0.0002086672 0.00018780048 0.00022536058 3.1995638e-05 4.0342326e-05 5.2862357e-05 3.4777866e-05 4.451567e-05 5.5644587e-06 3.4777866e-05 7.651131e-05 0.007314481 4.0342326e-05 5.2862357e-05 4.451567e-05 0.00027822293 9.876914e-05 0.00020449386 0.00010989806 5.008013e-05 2.7822294e-05 5.2862357e-05 1.6693377e-05 9.181357e-05 4.0342326e-05 2.2257835e-05 0.00010155137 0.004701968 6.677351e-05 7.651131e-05 6.816462e-05 0.0001140714 0.000105724714 0.00011128918 7.094685e-05 7.3729076e-05 4.451567e-05 5.4253473e-05 2.9213408e-05 3.616898e-05 3.1995638e-05 1.6693377e-05 9.5986914e-05 0.008068465 0.00014050258 0.00015719596 0.00019753828 0.0010961983 0.000119635864 0.00020310274 0.00024900952 7.929354e-05 9.181357e-05 9.320468e-05 4.5906785e-05 4.451567e-05 5.008013e-05 5.2862357e-05 0.00070668623 0.027939146 0.000824931 0.0011212385 0.00049523683 0.0030980124 0.00031717416 0.0014342392 0.0012144431 0.0004548945 0.00042289885 0.00031439192 0.00015858708 0.0002573562 0.00026013845 0.000303263 0.0041190907 0.0129165 0.0005912237 0.0004256811 0.00027126737 0.0010224693 0.0003227386 0.0008054554 0.00075537525 0.00056618365 0.00020310274 0.00012241809 0.00014328481 0.0002281428 0.00017388933 0.0001516315 0.0012436565 0.016259348 0.0005286236 0.0010169048 0.0006496505 0.00303263 0.002303686 0.007922398 0.0040133656 0.00076372194 0.00042150775 0.00031160968 0.00035751646 0.0005202769 0.00029074296 0.00027683182 0.0012172253 0.019296153 0.00045767674 0.0013507723 0.0011782742 0.005533854 0.0026027756 0.0069736578 0.0031926082 0.0006260016 0.0005021924 0.00061348156 0.0005174947 0.0010224693 0.0003324764 0.00053418806 0.0008499711 0.008904525 0.00019058271 0.0009111801 0.0004256811 0.0023495927 0.0008457977 0.0036210716 0.0016762932 0.0003797743 0.0003686454 0.00055644586 0.0005272325 0.0007108596 0.00042985444 0.00037560097 0.0005188858 0.016010338 0.0012714788 0.0017528045 0.0012951278 0.0033581508 0.0020338097 0.0035988137 0.0022285657 0.0028545673 0.0011351496 0.0013535545 0.0015232706 0.0023996728 0.001079505 0.0012937366 0.0023954995 0.045353122 0.006624488 0.0055547208 0.0062071537 0.013742822 0.0109258145 0.0073909923 0.010437533 0.021318832 0.0042011663 0.0050706128 0.005205551 0.013371394 0.0051638177 0.008649951 0.02166522 0.097090065 0.021000268 0.015784979 0.019470042 0.038455974 0.038058117 0.016237091 0.033477176 0.06483429 0.00894765 0.007729033 0.009459579 0.03443148 0.0107254945 0.028196502 0.06037577 0.0023301172 0.0010934161 0.0011991408 0.0012213987 0.0010906339 0.001213052 0.0012728699 0.0011741008 0.0011727096 0.0011963586 0.0011671452 0.0011379318 0.0011170651 0.0011935764 0.0012047053 0.0011587986 1557.0 12.500321 19463.0 0.038483277 0.0016955248 0.002671736 0.0017982839 0.006833479 0.0025175975 0.0015927658 0.003134152 0.0030313928 0.0011303499 0.0007706931 0.001901043 0.0022093202 0.0027744952 0.0124852285 0.0020551817 0.00447002 0.0022093202 0.003699327 0.004007604 0.002003802 0.0009762113 0.0025175975 0.0017469043 0.0024148384 0.0031855316 0.0033910496 0.0043158815 0.0030827725 0.003699327 0.0020551817 0.008323486 0.019781124 0.017417664 0.0038534657 0.019215949 0.009813492 0.008683142 0.0084776245 0.008323486 0.0060114064 0.008169347 0.0018496634 0.0012331089 0.007244515 0.009813492 0.003904845 0.007398654 0.014797308 0.0037507066 0.007501413 0.02574115 0.009145558 0.00560037 0.025227355 0.021887684 0.0026203566 0.0034424292 0.0010789704 0.002568977 0.0035965678 0.0046241586 0.0034938087 0.0060114064 0.0029800134 0.03478395 0.007295895 0.025330113 0.019267328 0.073472746 0.007347274 0.011252119 0.01120074 0.038688794 0.011406258 0.0043158815 0.03349946 0.013101783 0.038174998 0.046138827 0.01459179 0.001335868 0.04028156 0.028875303 0.06155269 0.01788008 0.0060114064 0.0076555517 0.007604172 0.008066588 0.0022093202 0.0012331089 0.0016441453 0.00041103634 0.0016441453 0.0012844885 5.743118 0.0 0.0 0.0 5.0 360448.0 385024.0 0.0 0.0 356.0 0.0 1.0 0.0 0.0 0.0 1535647000.0 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 8.0 0.0 4.0 0.0 4.0 0.0 249856.0 4096.0 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 57344.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -229376.0 -20480.0 36864.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1176133 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7308457 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6843038 -6.0379114 5.185189 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 54174.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34236.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -228843.0 -20480.0 34064.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -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 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 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 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 2.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 1.0 1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -3.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 -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 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 -2.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 -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 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 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 1.0 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 1.0 -1.0 1.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 1.0 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 -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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 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 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 -1.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 2.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 -1.0 -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 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 260.0 279732.0 34064.0 327680.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 260576.0 0.0 0.0 1472.0 233472.0 0.0 0.0 0.0 0.0


Input: 0.625 0.016015625 0.014453125 0.00234375 0.0078125 0.0078125 0.002734375 0.00234375 0.003125 0.0015625 0.0234375 0.0015625 0.001953125 0.001953125 0.00078125 0.0 0.00390625 0.002734375 0.0 0.00390625 0.0 0.0 0.000390625 0.00078125 0.000390625 0.00078125 0.0 0.000390625 0.00078125 0.00078125 0.0 0.001171875 0.0078125 0.0046875 0.0 0.008203125 0.001171875 0.003515625 0.00078125 0.00078125 0.0203125 0.000390625 0.001171875 0.000390625 0.000390625 0.0 0.006640625 0.000390625 0.0015625 0.001171875 0.0 0.001171875 0.00390625 0.001171875 0.000390625 0.001171875 0.001171875 0.000390625 0.0 0.0 0.001171875 0.0 0.00078125 0.000390625 0.008984375 0.000390625 0.00390625 0.000390625 0.003125 0.00234375 0.000390625 0.00078125 0.00078125 0.00234375 0.00078125 0.0 0.002734375 0.002734375 0.00078125 0.001171875 0.003515625 0.0 0.00078125 0.005078125 0.001953125 0.001171875 0.001171875 0.000390625 0.0 0.0015625 0.000390625 0.00078125 0.00078125 0.0 0.0 0.001953125 0.00078125 0.008984375 0.003515625 0.005859375 0.003125 0.01015625 0.0015625 0.002734375 0.00078125 0.0109375 0.000390625 0.0 0.00859375 0.00859375 0.00703125 0.00859375 0.00546875 0.0 0.0109375 0.005859375 0.009765625 0.00234375 0.001171875 0.00078125 0.0015625 0.0015625 0.000390625 0.0 0.0 0.0 0.000390625 0.000390625 0.001953125 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.000390625 0.000390625 0.000390625 0.0 0.0 0.001171875 0.0 0.000390625 0.0 0.00078125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.000390625 0.000390625 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.000390625 0.000390625 0.0 0.00078125 0.0 0.0 0.0 0.000390625 0.0 0.0 0.000390625 0.00078125 0.0 0.000390625 0.000390625 0.0 0.0 0.00078125 0.000390625 0.000390625 0.00078125 0.0 0.0 0.0 0.0 0.0 0.000390625 0.000390625 0.0 0.0 0.0 0.00078125 0.00078125 0.0 0.0 0.0 0.0 0.0 0.0 0.001171875 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.00078125 0.001171875 0.0 0.0 0.0 0.00078125 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.00078125 0.0 0.000390625 0.00078125 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.000390625 0.000390625 0.000390625 0.0 0.0 0.0 0.0 0.0015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.6425781 0.020019531 0.0703125 0.017578125 0.03955078 0.024414062 0.10205078 0.05078125 0.0068359375 0.0014648438 0.0024414062 0.0053710938 0.0043945312 0.0029296875 0.0053710938 0.00390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 35.0 11.685715 409.0 0.017114915 0.002444988 0.0 0.0073349634 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.041564792 0.0 0.004889976 0.002444988 0.0 0.004889976 0.002444988 0.0 0.0 0.0073349634 0.0 0.002444988 0.0 0.0 0.002444988 0.0 0.002444988 0.0 0.0 0.002444988 0.017114915 0.002444988 0.014669927 0.012224939 0.0 0.002444988 0.0 0.009779952 0.0 0.0 0.009779952 0.012224939 0.0 0.004889976 0.017114915 0.0 0.002444988 0.02200489 0.012224939 0.004889976 0.002444988 0.002444988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.012224939 0.002444988 0.056234717 0.02200489 0.036674816 0.017114915 0.061124694 0.009779952 0.017114915 0.004889976 0.06845966 0.002444988 0.0 0.051344745 0.051344745 0.04400978 0.051344745 0.03422983 0.0 0.06845966 0.036674816 0.058679707 0.014669927 0.004889976 0.004889976 0.009779952 0.009779952 0.0 0.0 0.0 0.0 0.0 0.0 5.0391736 0.0 0.0 0.0 1.0 2560.0 24576.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1541356800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11.0 0.0 4.0 0.0 4.0 0.0 1536.0 512.0 4096.0 2.0 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 -1536.0 0.0 0.0 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 -4.429994 0.0 0.0 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 -1444.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 9548.0 0.0 0.0 0.0 0.0 0.0 0.0 12.0 16384.0 28.0 9480.0 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: 0.024970682 0.004132035 0.0039511374 0.0039462876 0.0040403735 0.0038226175 0.0037227115 0.003856081 0.0041921725 0.0037944885 0.0037406557 0.0037702394 0.0039637466 0.003732896 0.0037154367 0.0043653105 0.0039991504 0.0037513252 0.003732411 0.00376054 0.0039419224 0.0037484153 0.003707192 0.0037362908 0.0038779052 0.0037736343 0.0038420167 0.0037202865 0.0036742133 0.003728046 0.0037663595 0.003728531 0.003806128 0.0037445354 0.0038502612 0.0038206775 0.0039511374 0.0037212565 0.0037692694 0.0037634496 0.0038425017 0.003754235 0.0037988534 0.0037430807 0.0037862437 0.003727561 0.003956957 0.0037265911 0.0038134027 0.0037799391 0.0038410467 0.0038531711 0.0037532651 0.0037867287 0.0037872137 0.0037159217 0.0038628709 0.003804673 0.0037852738 0.0037998233 0.0037993384 0.0037998233 0.0037193166 0.0037920636 0.004109726 0.0038090379 0.0037993384 0.0037944885 0.0037435654 0.004004485 0.0038779052 0.0038793602 0.0038260121 0.003727076 0.003731926 0.0037663595 0.0037847888 0.003831347 0.0037736343 0.003758115 0.0040631676 0.0038119478 0.003833772 0.003907004 0.003909914 0.003805158 0.003953562 0.0038754803 0.0038153427 0.0037236812 0.0037692694 0.0037634496 0.0037629649 0.0038138877 0.003804673 0.0038376518 0.0037925486 0.0038531711 0.0039302832 0.0038749953 0.00388227 0.004065593 0.004309538 0.0038264971 0.003908459 0.0038793602 0.0040001203 0.003704767 0.0038846948 0.003883725 0.003928828 0.003857536 0.003831347 0.0037261061 0.003979751 0.0038410467 0.004179563 0.0040932368 0.0037450204 0.0037954585 0.0037838188 0.003729986 0.00375666 0.0037430807 0.003806128 0.0038090379 0.0037789692 0.0037726643 0.0038405617 0.0037949735 0.0037537501 0.0041456143 0.0038866347 0.003955987 0.0038963344 0.003804188 0.003828922 0.004050073 0.0037464753 0.0044744313 0.0037876987 0.004090327 0.0038526861 0.0037935185 0.0037489003 0.003805158 0.0037668445 0.0037212565 0.0037139817 0.003727076 0.0038357119 0.0036989474 0.0036247452 0.0037455054 0.0038138877 0.0037910936 0.0037227115 0.0037973984 0.003855111 0.0037867287 0.0037178616 0.0038192226 0.0037838188 0.0037246512 0.0037692694 0.0037430807 0.0037484153 0.0037498702 0.0037649046 0.003733866 0.0037120418 0.00376151 0.0037198015 0.003731441 0.003732896 0.0036931275 0.0038517162 0.00376151 0.0037198015 0.0037382308 0.0037678145 0.003760055 0.0038211625 0.0037586 0.0039137937 0.0037712094 0.0038177676 0.0037668445 0.0037804241 0.0038240722 0.0037838188 0.0037712094 0.0039186436 0.0038250422 0.0037770292 0.0037687845 0.0038231025 0.0037421107 0.0038895446 0.0037896386 0.003754235 0.0038231025 0.0038691754 0.0038124328 0.003756175 0.0037139817 0.0038134027 0.0038134027 0.0037731493 0.0037450204 0.003757145 0.0037746043 0.003705252 0.0037673295 0.0038080679 0.003803703 0.003803703 0.0037896386 0.0037527801 0.0037906086 0.0038449264 0.003705252 0.0037673295 0.0037794542 0.0037411407 0.00375569 0.003733381 0.0038221325 0.0037925486 0.0036994324 0.0037173766 0.0038507462 0.0042397007 0.0037949735 0.0038454114 0.0038749953 0.0039472575 0.0036533591 0.003807098 0.003911369 0.0038958495 0.0038022483 0.003782364 0.0038502612 0.003805643 0.0037702394 0.0037896386 0.0037411407 0.003832802 0.0037784842 0.0037716944 0.003754235 0.0038716004 0.0037949735 0.0038788752 0.004780454 0.0134163285 0.0 0.0 4.85369e-07 2.426845e-07 2.426845e-07 7.280536e-07 2.426845e-07 0.0 2.426845e-07 2.426845e-07 0.0 2.426845e-07 0.0 0.0 4.85369e-07 0.00048027266 0.0 4.8536904e-06 2.426845e-07 9.70738e-07 2.1841606e-06 4.611006e-06 3.3975832e-06 2.426845e-07 0.0 0.0 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017097124 2.742335e-05 2.1598922e-05 2.208429e-05 2.03855e-05 6.7466295e-05 2.3055029e-05 1.7473285e-05 1.6017178e-05 7.765904e-06 8.008589e-06 7.52322e-06 1.1406172e-05 7.52322e-06 8.251273e-06 1.23769105e-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 0.00030990812 0.0 3.980026e-05 5.581744e-06 4.8536904e-06 3.1548986e-06 8.008589e-05 5.3390595e-05 0.0 0.0 2.426845e-07 0.0 0.0 0.0 0.0 0.0 0.00026986518 4.85369e-07 2.5967243e-05 7.52322e-06 1.1891541e-05 8.7366425e-06 0.00011551783 5.5089386e-05 7.280536e-07 0.0 0.0 0.0 0.0 4.85369e-07 0.0 7.280536e-07 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0006819435 1.7473285e-05 4.4653953e-05 2.9122142e-05 0.00011017877 5.9700393e-05 0.00023540398 0.00013930092 1.6017178e-05 1.5774494e-05 1.8686707e-05 1.8686707e-05 1.5289124e-05 1.820134e-05 5.6302808e-05 1.4318387e-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 0.001381603 6.673824e-05 7.547488e-05 7.4018775e-05 0.00017327674 0.00012473985 0.0002727774 0.00018516829 8.979327e-05 5.436133e-05 5.16918e-05 7.790173e-05 6.479677e-05 0.000106053136 0.0001065385 7.7173674e-05 0.0006462689 7.7173674e-05 0.00010386897 5.047838e-05 9.464696e-05 7.9115154e-05 0.00058195746 0.00016915111 6.819435e-05 2.9850196e-05 2.0628184e-05 2.1841606e-05 8.1542e-05 0.00011309099 0.00017934386 0.00016793769 0.0035135865 0.00045357738 0.00032665336 0.0003540767 0.00065087987 0.00084599823 0.0005739489 0.0007443134 0.0018487707 0.00020967942 0.00016745232 0.0004135344 0.0006836423 0.00028782384 0.0007261121 0.0011224159 0.0012117238 0.0002334625 0.00015531809 0.00018856587 0.00029583243 0.00046110057 0.00026695296 0.0003448547 0.0007066973 5.5089386e-05 9.149206e-05 0.00013129233 0.00032010087 0.0001160032 0.00032204235 0.00056666834 0.059933852 0.059620064 0.059971955 0.059972685 0.05986736 0.05980183 0.060437668 0.05967418 0.059964918 0.059798922 0.05955284 0.059949145 0.05972199 0.05973194 0.05980353 0.059950598 9547.0 5.8294754 55654.0 0.010798864 0.009918424 0.010583246 0.009594997 0.01034966 0.010295756 0.00966687 0.009846552 0.009828583 0.0090918895 0.010565278 0.009612965 0.010457469 0.009702806 0.011266037 0.009846552 0.009523125 0.010008265 0.010259819 0.010277788 0.01006217 0.009577029 0.009073921 0.009702806 0.010277788 0.010439501 0.010169979 0.009415316 0.0091457935 0.0091637615 0.009505156 0.010205915 0.010331692 0.010619183 0.009559061 0.010637151 0.008930176 0.009792647 0.010673087 0.010619183 0.00986452 0.01006217 0.009307507 0.010529342 0.010852769 0.009900456 0.009972329 0.01034966 0.009738743 0.010223883 0.011481655 0.010295756 0.010169979 0.009720774 0.009756711 0.010403565 0.009972329 0.009738743 0.010331692 0.009900456 0.009630934 0.010169979 0.009756711 0.011266037 0.009900456 0.012631617 0.010421533 0.011733209 0.0120207 0.015829949 0.010529342 0.011301973 0.01034966 0.0127214575 0.010529342 0.009541093 0.012451936 0.01114026 0.013745642 0.012272254 0.011284005 0.00889424 0.01387142 0.012523808 0.01367377 0.010529342 0.010619183 0.010223883 0.009415316 0.011266037 0.010134042 0.009792647 0.008858304 0.009199698 0.010098106 0.009702806 6.576591 1.0 0.0 0.0 34.0 2061938.0 352256.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1442778200.0 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 166400.0 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 20992.0 0.0 0.0 0.0 0.0 0.0 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 -166400.0 0.0 14848.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.991176 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.9657164 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.640562 0.0 7.987367 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20643.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136232.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166372.0 0.0 14632.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 192624.0 220.0 187380.0 14632.0 335872.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 173056.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 183424.0 0.0 0.0 916.0 172032.0 0.0 0.0 0.0 0.0


Input: 0.3299684 0.052250963 0.00476355 0.002714977 0.005547191 0.002227515 0.0014808965 0.0032949946 0.0057508145 0.0017338829 0.001443874 0.0010366275 0.003288824 0.0014253628 0.0011476948 0.003702241 0.005726133 0.0038133084 0.0009810938 0.0009934347 0.0022151743 0.004084806 0.0008021522 0.002733488 0.0016166453 0.00107365 0.0005738474 0.0005183137 0.0008083226 0.00045660973 0.00050597294 0.0009749235 0.012334634 0.00048129135 0.000598529 0.0003949057 0.0019066542 0.0033135058 0.0009008787 0.0003085201 0.00138217 0.0006787442 0.000691085 0.00048129135 0.0010674795 0.00052448414 0.0031592457 0.00030234968 0.0012155692 0.0007034258 0.0008268338 0.0022213447 0.00083300425 0.00087619707 0.0004998025 0.0003146905 0.0010489683 0.0007281074 0.00048129135 0.00138217 0.00090704905 0.00077747065 0.0005923586 0.0007898114 0.0028692367 0.004127999 0.0009749235 0.004282259 0.0052633528 0.01504961 0.0023509231 0.0014808965 0.0014932372 0.0034986178 0.0010304571 0.00074044825 0.004023102 0.007108303 0.003270313 0.0032147793 0.011304176 0.0015611117 0.003288824 0.0065653077 0.004084806 0.0019868694 0.0047080168 0.0029988154 0.0016228157 0.002011551 0.00029000887 0.000999605 0.000999605 0.0011168427 0.0020238918 0.006219765 0.0033443577 0.0066270116 0.0037207522 0.0038379899 0.004640142 0.01182249 0.0018017574 0.0016968605 0.008101737 0.005559532 0.005695281 0.0006664034 0.005288034 0.0018696317 0.0053682495 0.008027692 0.0049856845 0.00049363216 0.005331227 0.005911245 0.011026508 0.008225146 0.0018511205 0.009588804 0.00261008 0.0017770757 0.0012032284 0.0006725738 0.0018326093 0.0013636588 0.0006170402 0.0010242867 0.012643154 0.0014315333 0.00077747065 0.005201649 0.0014315333 0.0065591373 0.00050597294 0.0012711028 0.0056212363 0.0053373976 0.0007034258 0.013346579 0.0007713002 0.013581054 0.0011538651 0.0009008787 0.0013883404 0.00019745286 0.00022830487 0.00087619707 0.00096875307 0.000536825 0.00025298647 0.00045660973 0.00087619707 0.0010983315 0.0012093987 0.00030234968 0.00082066347 0.0003270313 0.0003763945 0.0003085201 0.0015302596 0.00042575772 0.0003517129 0.00021596406 0.0015549413 0.0027519993 0.00043809853 0.0003578833 0.001197058 0.0013142956 0.010224355 0.0003085201 0.0010366275 0.00024064568 0.00030234968 0.00011106723 0.0010921612 0.00038873532 0.0003455425 0.0007466186 0.0011908875 0.00027149767 0.00087619707 0.00089470827 0.002961793 0.00037022412 0.0002776681 0.0009564123 0.00091321947 0.0002776681 0.0005923586 0.0006787442 0.0061333794 0.0009625827 0.0012464211 0.0021102775 0.0015117484 0.00014808965 0.0017832462 0.0030605192 0.0017955869 0.0012279099 0.00020979367 0.0007034258 0.0022213447 0.00019745286 0.0013019547 0.00051214336 0.0009379011 0.00018511206 0.00021596406 0.0008021522 0.00092556025 0.0003332017 0.00138217 0.0012834435 0.0015611117 0.0003085201 0.00017277125 0.00052448414 0.001258762 0.00020979367 0.0003640537 0.00025298647 0.0026162504 0.0010427979 0.000629381 0.0003332017 0.0019189949 0.00024681608 0.00064172177 0.00085151545 0.0124457 0.0033752099 0.00025915686 0.0017277125 0.003961398 0.00030234968 0.00092556025 0.0003270313 0.0062012537 0.0013574885 0.00052448414 0.00044426892 0.0016166453 0.00037022412 0.0011168427 0.00092556025 0.0030481785 0.0004010761 0.00027149767 0.000536825 0.005713792 0.0011045019 0.0018140981 0.048925117 0.044585988 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0059931083 0.00013684315 1.866043e-05 1.866043e-05 1.866043e-05 1.866043e-05 1.866043e-05 1.5550359e-05 2.1770502e-05 1.5550359e-05 1.5550359e-05 1.5550359e-05 1.5550359e-05 1.5550359e-05 1.5550359e-05 1.5550359e-05 0.0056634406 0.00020526473 4.0430932e-05 4.3541004e-05 3.732086e-05 2.4880574e-05 2.1770502e-05 1.866043e-05 3.421079e-05 1.2440287e-05 1.5550359e-05 2.1770502e-05 2.1770502e-05 3.421079e-05 0.00011507265 5.9091362e-05 0.010484052 9.9522294e-05 0.00029856688 5.287122e-05 6.2201434e-05 3.732086e-05 0.0006593352 0.00036698845 0.0004043093 4.9761147e-05 2.7990645e-05 2.7990645e-05 5.598129e-05 4.6651076e-05 2.7990645e-05 3.732086e-05 0.013065411 0.0001523935 0.00013062301 0.00017416402 0.013985992 0.00868021 0.00013995322 0.0006002438 0.0001430633 4.3541004e-05 5.598129e-05 0.00019904459 5.598129e-05 9.019208e-05 0.00021148488 0.00048828125 0.014101065 0.00030167695 0.00055359275 9.9522294e-05 0.0030727508 0.0025129379 0.00031100717 0.0011320661 0.00062823447 0.00027990644 5.9091362e-05 8.0861864e-05 8.3971936e-05 7.153165e-05 6.2201434e-05 0.002127289 0.06990197 0.002043317 0.006161052 0.0005722532 0.0017478602 0.0010512042 0.0168908 0.011979996 0.0027057624 0.00079306826 0.00017727408 0.00033277768 0.00047895103 0.00023947551 0.00041052946 0.0055328174 0.04766496 0.0018007315 0.0030851911 0.00082727906 0.00303232 0.0022952328 0.0086708795 0.0070878533 0.0024880574 0.00062823447 0.00014617336 0.0004167496 0.00045407045 7.775179e-05 0.00021770502 0.00390936 0.023782717 0.0007090963 0.0011134057 0.0005069417 0.0043354398 0.0022454718 0.0060708597 0.0037600766 0.002382315 0.00046651074 0.0010543143 0.0006344546 0.00035454816 0.00018349422 0.00022392516 0.0031318422 0.06041625 0.0015363754 0.0052155904 0.0020681976 0.009429737 0.0053213327 0.020974323 0.011482385 0.009159161 0.0023760947 0.011218028 0.0018629329 0.0015736963 0.00072464667 0.0031753832 0.006332106 0.013485271 0.0018909236 0.0019002538 0.0005473726 0.0020961883 0.0012346985 0.004817501 0.0028488257 0.0022859026 0.000737087 0.0025937997 0.00034210787 0.00044163017 0.00022081508 0.0006126841 0.0021614998 0.015018536 0.0024445164 0.0019220243 0.0009081409 0.002649781 0.0014026423 0.00390936 0.0024942774 0.0051440587 0.0009050309 0.00086459995 0.0014057524 0.00260935 0.0009019208 0.0055390378 0.009205812 0.08548654 0.01474796 0.0069603403 0.0072589074 0.017945113 0.023991093 0.014352981 0.014623557 0.041469697 0.0037103156 0.005784733 0.0070038815 0.017232908 0.006773736 0.019646322 0.037852682 0.008649109 0.0019873357 0.0012346985 0.0010667546 0.002646671 0.0032686854 0.0016514481 0.002475617 0.0049325735 0.00026746615 0.00046651074 0.00055670284 0.0019282445 0.0014057524 0.0015799165 0.0040990743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 873.0 16.92669 14777.0 0.026121676 0.0005413819 0.0007444001 0.00033836366 0.00047370914 0.0054814913 6.7672736e-05 0.00047370914 0.0021655275 0.0020978549 0.0032482913 0.0 0.001759491 0.00013534547 0.018000947 0.00013534547 0.002030182 0.001285782 0.0027069093 0.0029776003 0.00067672733 0.00013534547 6.7672736e-05 0.00013534547 0.00047370914 0.00027069094 0.001015091 0.001285782 0.0008797455 0.00027069094 0.00067672733 0.0039250185 0.0067672734 0.03755837 0.0058198553 0.03383637 0.029640658 0.05495026 0.011910401 0.0096772015 0.004601746 0.030249713 0.0022332002 0.0038573458 0.028625567 0.011910401 0.023076402 0.026121676 0.017933276 0.0009474183 0.025783312 0.03343033 0.033565678 0.008053055 0.012790147 0.0033836367 0.0021655275 0.004872437 0.0005413819 0.00040603642 0.0022332002 0.00040603642 0.00020301821 0.053326115 6.7672736e-05 0.026257021 0.005887528 0.015970765 0.014549638 0.050010152 0.0063612373 0.0066996007 0.004804764 0.02476822 0.0022332002 0.0018271639 0.026054002 0.0077146916 0.021113893 0.024226839 0.014143602 6.7672736e-05 0.025850985 0.023753129 0.028896257 0.00988022 0.003315964 0.03728768 0.003992691 0.0071056373 0.00060905464 0.001285782 0.0015564729 0.00013534547 0.00013534547 0.0019625092 5.53911 0.0 0.0 2.0 1.0 162064.0 163840.0 1.0 0.0 144.0 0.0 1.0 0.0 0.0 0.0 892352800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 0.0 5.0 12.0 5.0 0.0 4.0 0.0 103936.0 1536.0 4096.0 3.0 0.0 0.0 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 -2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103936.0 0.0 46080.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.190985 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.187969 0.0 4.101541 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -103738.0 0.0 45952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 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 -1.0 -1.0 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 0.0 2.0 1.0 0.0 0.0 1.0 0.0 2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 2.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 -1.0 -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 1.0 0.0 -1.0 -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 0.0 0.0 -2.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 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 -2.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 -2.0 -1.0 1.0 0.0 0.0 -3.0 0.0 2.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 1.0 -1.0 0.0 -1.0 1.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -1.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 1.0 0.0 -1.0 1.0 0.0 -3.0 0.0 0.0 -2.0 0.0 1.0 0.0 -2.0 2.0 1.0 -2.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 -2.0 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 -1.0 1.0 0.0 -1.0 -1.0 0.0 1.0 -1.0 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 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 -1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 2.0 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 -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 -1.0 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 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 3.0 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 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 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 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 1.0 0.0 2.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 1.0 -1.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 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 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 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 -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 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 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 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 -1.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 -1.0 0.0 -1.0 1.0 1.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 0.0 1.0 -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 1.0 0.0 2.0 2.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 240.0 103072.0 45952.0 114688.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 6176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 244.0 624.0 2068.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.07382965 0.004722595 0.004014969 0.0036506653 0.0040798187 0.0037174225 0.0036754608 0.0036392212 0.004556656 0.0035419464 0.0035152435 0.00333786 0.0041446686 0.003414154 0.003396988 0.004135132 0.0045833588 0.0034122467 0.0032253265 0.0033359528 0.0036888123 0.0035762787 0.003479004 0.0034236908 0.0037269592 0.0037460327 0.0032482147 0.0032653809 0.0035953522 0.0031433105 0.003332138 0.0034370422 0.0048217773 0.0035171509 0.0032424927 0.0034332275 0.0059719086 0.0032958984 0.0033226013 0.0032653809 0.0035037994 0.0034179688 0.0035324097 0.0035743713 0.0034122467 0.0033302307 0.0033874512 0.0033512115 0.0043525696 0.0037174225 0.0037765503 0.0045871735 0.0039196014 0.0037136078 0.0036067963 0.0035820007 0.0037498474 0.003786087 0.0035762787 0.004140854 0.0038204193 0.0037498474 0.0035591125 0.003376007 0.0072345734 0.00434494 0.0031929016 0.0034427643 0.004343033 0.0043144226 0.0036067963 0.0035324097 0.003572464 0.0032253265 0.0032520294 0.0032463074 0.0039100647 0.0038394928 0.0033130646 0.0034103394 0.004175186 0.0032577515 0.003282547 0.0037384033 0.003780365 0.0037269592 0.0038414001 0.0037937164 0.0034484863 0.004108429 0.0033073425 0.0035076141 0.0034713745 0.0035686493 0.0037288666 0.0035095215 0.0036067963 0.0037193298 0.0032215118 0.00340271 0.0035533905 0.0041103363 0.0035972595 0.0032310486 0.0037231445 0.0037994385 0.003698349 0.003282547 0.0036582947 0.0033416748 0.003604889 0.0037288666 0.003572464 0.0032596588 0.0037975311 0.0034828186 0.005302429 0.004972458 0.0034713745 0.003255844 0.0034294128 0.003572464 0.003227234 0.0031337738 0.003484726 0.0034103394 0.0032596588 0.0033664703 0.003610611 0.0035114288 0.003358841 0.0051517487 0.0037727356 0.004114151 0.0031795502 0.0032463074 0.0037288666 0.0057258606 0.0035686493 0.006965637 0.0034828186 0.004676819 0.0034275055 0.0032997131 0.0034484863 0.0031776428 0.003211975 0.0033473969 0.003364563 0.0034866333 0.0031986237 0.0032463074 0.003194809 0.0033130646 0.0032463074 0.0031356812 0.0033473969 0.003227234 0.0031967163 0.0031261444 0.0032863617 0.003419876 0.003250122 0.0033073425 0.0033512115 0.0033054352 0.0032215118 0.0032997131 0.0032596588 0.0032463074 0.0032520294 0.0032196045 0.0033473969 0.0033416748 0.0031528473 0.0032806396 0.0033664703 0.0032844543 0.0033092499 0.003376007 0.0035190582 0.003320694 0.0033779144 0.0032634735 0.003419876 0.0031471252 0.0032367706 0.003250122 0.0034923553 0.0033416748 0.0033111572 0.0033073425 0.0041999817 0.0035629272 0.003288269 0.0039482117 0.003610611 0.0034618378 0.003414154 0.004020691 0.0033473969 0.0034599304 0.0034008026 0.0032577515 0.0040740967 0.0030937195 0.003293991 0.0032997131 0.003856659 0.0045280457 0.004749298 0.0033798218 0.0032863617 0.0033092499 0.0034313202 0.0032482147 0.004020691 0.003320694 0.0033493042 0.0033817291 0.0034313202 0.0031909943 0.0032405853 0.0032463074 0.003490448 0.0033798218 0.0033035278 0.0032157898 0.0036697388 0.0033569336 0.0035743713 0.0033874512 0.0051136017 0.003660202 0.0033836365 0.0037517548 0.003604889 0.0034809113 0.0033359528 0.0032749176 0.0036945343 0.0033302307 0.003232956 0.0036411285 0.0035076141 0.0033016205 0.00349617 0.0040302277 0.0037517548 0.0035037994 0.0034294128 0.0033130646 0.0037765503 0.0037345886 0.0038833618 0.010437012 0.021526419 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018862372 2.8666218e-06 1.0510947e-05 9.555406e-07 8.599865e-06 3.8221624e-06 1.9110812e-06 1.9110812e-06 1.3377568e-05 0.0 0.0 2.8666218e-06 1.3377568e-05 3.8221624e-06 2.8666218e-06 3.8221624e-06 0.001836549 3.8221624e-06 1.9110812e-06 6.688784e-06 2.1021893e-05 2.1021893e-05 1.9110812e-06 2.4844056e-05 9.555406e-07 2.8666218e-06 0.0 1.9110812e-06 0.0 2.8666218e-06 0.0 3.05773e-05 0.005147497 6.975447e-05 7.2621086e-05 0.000176775 6.306568e-05 2.6755137e-05 6.11546e-05 4.0132705e-05 3.05773e-05 2.1021893e-05 2.1977434e-05 2.7710677e-05 2.8666218e-05 3.5355002e-05 2.9621759e-05 1.8155271e-05 0.0032641266 9.555406e-06 4.0132705e-05 6.497676e-05 8.408757e-05 4.2043786e-05 0.00030195084 8.9820816e-05 3.8221624e-06 1.9110812e-06 1.9110812e-06 3.8221624e-06 0.0 0.0 3.8221624e-06 1.9110812e-06 0.001587153 8.026541e-05 5.6376895e-05 2.8666218e-06 5.9243517e-05 2.5799596e-05 3.153284e-05 2.7710677e-05 9.555406e-06 7.644325e-06 4.777703e-06 3.8221624e-06 1.3377568e-05 2.5799596e-05 3.8221624e-06 1.719973e-05 0.004303755 6.0199058e-05 4.4910408e-05 4.4910408e-05 0.00028092894 0.00010606501 0.00032106164 0.00021690772 5.5421355e-05 3.7266083e-05 4.2999327e-05 2.9621759e-05 4.586595e-05 7.166555e-05 0.00012135366 8.7909735e-05 0.0028045117 8.408757e-05 9.459852e-05 5.5421355e-05 0.00018441933 5.6376895e-05 0.00010797609 7.739879e-05 4.873257e-05 2.9621759e-05 3.439946e-05 2.4844056e-05 2.8666218e-05 4.0132705e-05 0.00011944258 0.00012326473 0.0012173587 4.586595e-05 3.9177165e-05 4.3954868e-05 0.00019493028 1.1466487e-05 1.2422028e-05 1.9110812e-05 5.064365e-05 1.0510947e-05 1.3377568e-05 2.2932974e-05 2.4844056e-05 0.00018441933 1.528865e-05 5.064365e-05 0.006042839 0.00025512933 0.0006660118 0.0006736561 0.00047203706 0.00028857327 0.0011132048 0.0006039017 0.00046725935 8.504312e-05 7.930987e-05 0.00012422029 0.00016339745 0.0001175315 0.00011084271 0.00047872585 0.002579004 7.835433e-05 0.00028284002 0.0007739879 0.00043859312 0.00026468476 0.0016435299 0.00085234223 8.1220955e-05 5.5421355e-05 6.0199058e-05 6.11546e-05 7.835433e-05 8.026541e-05 7.2621086e-05 0.00042521558 0.004252156 0.0005618579 0.000601035 0.004243556 0.00064976764 0.00039941596 0.000682256 0.0005895686 0.000553258 0.00039463828 0.00041757125 0.00041279354 0.00039368274 0.0006000795 0.00041279354 0.00049114786 0.0016750627 0.00018059717 0.00018537488 0.00016435298 0.0002331519 0.00017773056 0.00011084271 0.000247485 0.0007424551 8.69542e-05 0.00010415393 0.00018155272 0.0002283742 0.00017773056 0.00029239542 0.0010826275 0.010613189 0.0017925942 0.0026277367 0.0018097939 0.005318539 0.0022932976 0.0012183143 0.0017543725 0.005351983 0.00078640995 0.00070232234 0.0009182745 0.001977969 0.0034934564 0.0017591503 0.0045493287 0.009614649 0.001977969 0.0022866086 0.0021480552 0.0039072055 0.0040572253 0.0014285332 0.0029631315 0.0067250947 0.0004921034 0.0005924352 0.00070041127 0.0033835692 0.0014228 0.0028838215 0.006297013 0.051563837 0.051090844 0.05144822 0.05089496 0.04995471 0.05057963 0.050311126 0.0505825 0.050809916 0.050356034 0.050566252 0.050906427 0.05045732 0.05082043 0.05126284 0.05052803 2383.0 7.283676 17357.0 0.023448752 0.009275797 0.0065679555 0.0077202283 0.009045342 0.007086478 0.008930115 0.006625569 0.008526819 0.008411592 0.0066831824 0.007086478 0.009909547 0.008814887 0.008584433 0.007950683 0.01503716 0.011292274 0.014576252 0.014172956 0.013078297 0.0107161375 0.0107161375 0.0107161375 0.0123293195 0.010140001 0.011753183 0.011119433 0.011349888 0.011580342 0.009736706 0.00996716 0.009045342 0.010485683 0.0068560233 0.008642047 0.009909547 0.007835455 0.008008297 0.008872501 0.011177047 0.007605001 0.006625569 0.008411592 0.010082387 0.008181137 0.00806591 0.010197615 0.012502161 0.006625569 0.008296365 0.014806706 0.010543297 0.008411592 0.011810796 0.011292274 0.008353978 0.0073745465 0.0073745465 0.007950683 0.009218182 0.0065679555 0.007950683 0.0076626143 0.009218182 0.016362274 0.008469205 0.011983638 0.01486432 0.025868526 0.010773751 0.0082387505 0.011810796 0.017341707 0.0073745465 0.00743216 0.01693841 0.011349888 0.018263524 0.018321138 0.012559774 0.0067407964 0.016650343 0.012559774 0.02546523 0.014633865 0.0077202283 0.0074897734 0.008872501 0.010485683 0.008123524 0.0052428413 0.008411592 0.0060494323 0.0072017056 0.0074897734 6.4978333 0.0 0.0 0.0 11.0 524288.0 536576.0 1.0 0.0 83.0 1.0 1.0 0.0 0.0 0.0 1541561600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 5.0 0.0 5.0 0.0 49152.0 4096.0 4096.0 6.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -438272.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -49152.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.382177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.007818 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.219449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.400452 0.0 1.4745048 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -431641.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 11114.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -47610.0 0.0 2465.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 121.0 61164.0 952.0 524288.0 0.0 0.0 0.0 0.0 5400.0 528384.0 56.0 53664.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 352.0 53248.0 0.0 0.0 0.0 0.0


Input: 0.36062586 0.007801527 0.0040379213 0.003171085 0.011049421 0.002776071 0.0012837957 0.0014374122 0.0041695926 0.0010643434 0.0021067415 0.0011192064 0.003599017 0.001360604 0.0011850421 0.0026005092 0.020979635 0.0009985077 0.00092169945 0.00093267206 0.0021286868 0.0012069873 0.00094364467 0.00066932937 0.0013386587 0.00059252104 0.00059252104 0.00091072684 0.0011411516 0.0007241924 0.0007022472 0.0008010007 0.0027431531 0.00059252104 0.0008448911 0.0005486306 0.0042902916 0.0026553723 0.00063641154 0.00060349365 0.0012947683 0.0008558638 0.0008668364 0.0008229459 0.00091072684 0.0011411516 0.0014374122 0.0008339185 0.0021835498 0.0016020014 0.0013715766 0.0051681004 0.0009765625 0.0007900281 0.00074613764 0.00064738415 0.0011740695 0.0012728231 0.00065835676 0.0019750702 0.0013386587 0.002348139 0.000735165 0.0005157128 0.0025127283 0.0024139746 0.0018543715 0.0034015097 0.0025456462 0.009513255 0.0026114818 0.0015800562 0.0016239466 0.0012179599 0.0008887816 0.0012399053 0.0023152211 0.002007988 0.0009655899 0.0011850421 0.006759129 0.0014483848 0.0026553723 0.0052887993 0.002973578 0.005574087 0.0031052493 0.0037745787 0.0015032479 0.0031601123 0.0019421524 0.0033576193 0.0015800562 0.0031601123 0.0023591116 0.002062851 0.0008119733 0.0046633603 0.0011192064 0.0026114818 0.0066932933 0.010731215 0.0026663449 0.0017227002 0.0056838132 0.004498771 0.0049047577 0.0010862886 0.005716731 0.0015251931 0.0038184691 0.0050583743 0.002260358 0.00064738415 0.005947156 0.0042025107 0.010808024 0.0063311975 0.0015251931 0.0018214537 0.0016020014 0.0019311798 0.00076808286 0.00094364467 0.0017336728 0.0015032479 0.0013496313 0.0013167135 0.0036758252 0.0017775632 0.00062543893 0.0059252107 0.002490783 0.0061556357 0.000680302 0.0008119733 0.001360604 0.007702774 0.0012618505 0.026729284 0.00089975423 0.009622981 0.0007132198 0.00074613764 0.0019860428 0.00066932937 0.00066932937 0.000537658 0.00091072684 0.0019311798 0.00074613764 0.0007132198 0.0008668364 0.00093267206 0.000537658 0.000680302 0.0008339185 0.0005157128 0.00076808286 0.0005596032 0.00092169945 0.0018763167 0.00060349365 0.0010862886 0.00091072684 0.00077905547 0.00050474016 0.00044987712 0.0007022472 0.000537658 0.000680302 0.0008229459 0.0010094803 0.000340151 0.00048279495 0.0007241924 0.0013386587 0.0008339185 0.00064738415 0.00074613764 0.0011411516 0.00089975423 0.0006912746 0.00075711025 0.002776071 0.0027321805 0.003511236 0.000735165 0.0009655899 0.0008119733 0.00064738415 0.0005486306 0.008580583 0.0014044944 0.0018763167 0.007977089 0.0025675914 0.0011630969 0.0021067415 0.0019421524 0.00147033 0.0014922753 0.0007132198 0.00077905547 0.0010204529 0.0008887816 0.000877809 0.0006912746 0.0018214537 0.0009985077 0.0022274402 0.0012399053 0.0011740695 0.00074613764 0.0011521243 0.0014813027 0.0029626053 0.0011521243 0.0010862886 0.0020189607 0.0011740695 0.00059252104 0.00076808286 0.000735165 0.0027321805 0.00093267206 0.00093267206 0.00075711025 0.0016349192 0.0010972612 0.000680302 0.0005705758 0.02012377 0.003939168 0.0026224544 0.003994031 0.0037526335 0.00076808286 0.0008558638 0.000735165 0.0036867978 0.00063641154 0.0009985077 0.0008229459 0.0023920294 0.0016020014 0.004026949 0.00147033 0.004838922 0.0009546173 0.0012837957 0.0015800562 0.0048498944 0.0017446454 0.002633427 0.060075052 0.17026034 5.5486507e-05 5.5486507e-06 0.0 0.0 3.8840553e-05 5.5486507e-05 1.6645952e-05 1.10973015e-05 0.0 0.0 0.0 0.0 0.0 1.10973015e-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 0.0 0.03013472 0.00022749467 0.00013316762 0.00019420277 0.0003273704 0.0002607866 0.0006159002 0.00045498935 0.00014426491 5.5486507e-05 7.768111e-05 9.987571e-05 0.00015536221 0.0009821112 0.00010542436 0.00012207031 0.008911133 5.5486507e-06 5.5486507e-06 5.5486507e-06 0.00021639737 0.00024968927 0.0013261274 0.0006436435 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008827903 0.00018310547 0.00012207031 0.00015536221 0.00012761896 7.2132454e-05 9.987571e-05 0.00011652166 0.00011652166 4.9937855e-05 7.2132454e-05 8.877841e-05 0.00013871626 0.0009765625 9.987571e-05 0.00011652166 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.025479404 0.00033291904 0.00047163529 0.0006935813 0.005520907 0.0045110527 0.02010831 0.009321733 0.00029962714 5.5486507e-05 6.658381e-05 0.00019420277 0.00029962714 0.00021639737 0.00022194603 0.00038840555 0.010892001 0.00031072443 0.00030517578 0.00018865411 0.0012096058 0.00083784625 0.004050515 0.0020252576 0.0005049272 0.000110973015 0.00012761896 0.00024414062 0.00022194603 0.00022749467 0.000571511 0.0008988814 0.01286732 0.0007768111 0.0006436435 0.0005604137 0.0007102273 0.0008988814 0.00064919214 0.0006436435 0.0011707653 0.00037175958 0.00039950284 0.0004161488 0.0007657138 0.00042169745 0.0004827326 0.0009488193 0.003717596 0.00016645952 0.00020530006 0.00016091087 0.0009765625 0.000682484 0.0027743252 0.001475941 0.00013316762 0.00013316762 7.768111e-05 0.00012761896 0.00016645952 0.000110973015 0.00013871626 0.00031627307 0.019070713 0.0017811168 0.0009876598 0.0010653409 0.0018920898 0.0025634766 0.002729936 0.0023859197 0.0024081143 0.00084894354 0.0007102273 0.0013705167 0.0016867898 0.000921076 0.0020197087 0.0030129172 0.056518555 0.012678667 0.00579834 0.007435192 0.009471547 0.014271129 0.012811834 0.010991877 0.027415883 0.0045055044 0.0030573064 0.007879084 0.011219371 0.005448775 0.018726695 0.041770242 0.054315742 0.015514027 0.0088556465 0.009060946 0.01323908 0.022005947 0.012107155 0.011319247 0.03536155 0.0039783823 0.004228072 0.005892667 0.01731179 0.008439497 0.020302512 0.04215865 0.0054543237 0.0038674094 0.00370095 0.004189231 0.0041226475 0.0045831855 0.0051047583 0.004843972 0.00440008 0.003889604 0.0037508877 0.003667658 0.003950639 0.0038008257 0.0039450903 0.0049105557 534.0 11.988764 6402.0 0.003280225 0.00046860357 0.00062480476 0.00031240238 0.00062480476 0.00093720714 0.00046860357 0.00031240238 0.00046860357 0.00046860357 0.0010934083 0.00046860357 0.00062480476 0.00046860357 0.008747267 0.00078100595 0.0015620119 0.0014058107 0.006091846 0.00656045 0.00093720714 0.00078100595 0.0012496095 0.00062480476 0.00046860357 0.00078100595 0.0010934083 0.0017182131 0.00062480476 0.0014058107 0.00031240238 0.00046860357 0.00078100595 0.0131209 0.0026554202 0.016557327 0.008591065 0.012183692 0.013589503 0.0131209 0.005154639 0.005623243 0.00062480476 0.0062480476 0.012027492 0.0078100595 0.0029678226 0.0048422366 0.008122462 0.0045298343 0.011715089 0.021399563 0.012652297 0.008591065 0.008747267 0.024211183 0.0010934083 0.004217432 0.0017182131 0.0039050297 0.0020306155 0.0037488285 0.0048422366 0.0035926274 0.00062480476 0.04561075 0.006716651 0.024523586 0.033895656 0.121212125 0.0034364262 0.012027492 0.011246486 0.049359575 0.0023430178 0.0048422366 0.058575444 0.008591065 0.038894095 0.04889097 0.01187129 0.00031240238 0.05654483 0.03420806 0.07075914 0.017025929 0.0039050297 0.009840675 0.009528273 0.013745705 0.0020306155 0.00046860357 0.00046860357 0.00015620119 0.00062480476 0.00046860357 5.265523 0.0 1.0 0.0 1.0 91136.0 319488.0 0.0 0.0 16.0 0.0 1.0 0.0 1.0 0.0 708992500.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 4.0 0.0 4.0 0.0 32768.0 1024.0 4096.0 4.0 0.0 0.0 2.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -31744.0 0.0 0.0 0.0 0.0 0.0 53760.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.3640947 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.804324 0.0 0.0 0.0 0.0 0.0 6.119268 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.47402 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -32768.0 0.0 0.0 0.0 0.0 0.0 274432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 315392.0 236.0 311296.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 309904.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.03278128 0.006312215 0.0048908773 0.0043109446 0.00452381 0.003984104 0.003829902 0.005279734 0.005234479 0.0038014082 0.0039002986 0.004585826 0.0039606383 0.004656222 0.003689109 0.0057792133 0.0044534137 0.0039036507 0.0035080898 0.0036002756 0.0037879995 0.004131601 0.0036689958 0.003734364 0.0037947039 0.0037092224 0.0035214985 0.0037075463 0.003496357 0.0035969233 0.0036254171 0.0037913516 0.004490288 0.0037159268 0.0034142279 0.0037410685 0.0038583959 0.003638826 0.0035516685 0.0036622914 0.0037108986 0.0034846242 0.0035885428 0.0037243073 0.0035818384 0.00373604 0.0038583959 0.003608656 0.0036455304 0.003640502 0.003670672 0.0043930737 0.0037427444 0.00363715 0.003479596 0.0035885428 0.0034695393 0.0037779429 0.0035717818 0.0037561534 0.0036153605 0.0035416118 0.0036019518 0.0037293357 0.003799732 0.0037125747 0.0035399357 0.003700842 0.0038416348 0.004379665 0.0038818615 0.0038114649 0.0037410685 0.0038114649 0.0035365836 0.0034293127 0.0038516915 0.0038164933 0.0035030614 0.003640502 0.004491964 0.0035533446 0.0037108986 0.0042573093 0.0036974896 0.003928792 0.0042489287 0.0039137076 0.0035801623 0.003655587 0.0035516685 0.0035801623 0.003846663 0.0036622914 0.003685757 0.0035365836 0.0036036277 0.0041584186 0.0037377162 0.003829902 0.0040913746 0.0048204805 0.004176856 0.003700842 0.004289155 0.004210378 0.0041416576 0.0035097657 0.0042455764 0.0036187128 0.0040109213 0.004116516 0.0037243073 0.0036053038 0.0041517145 0.00420535 0.0049763587 0.00474338 0.0037427444 0.0036321215 0.00366732 0.003747773 0.0035013852 0.0035047375 0.0035533446 0.0038583959 0.0037695623 0.0034511022 0.004109812 0.0037980562 0.0035701056 0.00420535 0.0035985995 0.0044115107 0.0038030844 0.0037058701 0.0038248738 0.004287479 0.003846663 0.004949541 0.0035617251 0.0044550896 0.0036974896 0.0035332313 0.0037092224 0.0037578295 0.003638826 0.0036120082 0.0036103323 0.0036337976 0.0033974668 0.003591895 0.0038231977 0.003496357 0.00363715 0.0034712155 0.0035650774 0.003591895 0.0036824048 0.0036187128 0.0038114649 0.0035667534 0.0036270933 0.0035097657 0.003526527 0.0034946809 0.0036270933 0.0035399357 0.0036170366 0.003436017 0.003893594 0.0036019518 0.0034946809 0.0034410455 0.0036589392 0.0036019518 0.0035701056 0.0036354738 0.0033924384 0.0033974668 0.003890242 0.003702518 0.003528203 0.0035214985 0.0038399587 0.0035969233 0.0035969233 0.0033974668 0.0035885428 0.0036337976 0.0034544542 0.0035097657 0.0043411143 0.0035751339 0.0037226314 0.0036606153 0.0037762667 0.0037058701 0.0036757004 0.0036790525 0.0037243073 0.0039153835 0.0034242845 0.0036170366 0.0037729144 0.003591895 0.0034946809 0.0035248508 0.0037460967 0.0036740243 0.003573458 0.0036740243 0.0035801623 0.003370649 0.0036304456 0.0034863004 0.0036656437 0.0035449641 0.0035030614 0.0033656207 0.0035667534 0.003482948 0.0035181465 0.003528203 0.0036740243 0.0037226314 0.0036120082 0.003543288 0.0036824048 0.003526527 0.003672348 0.0036002756 0.0042656898 0.003672348 0.0034745676 0.0038718048 0.00376621 0.0034209322 0.0034075233 0.0035784862 0.0037460967 0.0036321215 0.003700842 0.0034091994 0.003781295 0.0036019518 0.0037729144 0.003640502 0.0038751569 0.0034980332 0.0036153605 0.0036907853 0.003719279 0.0037393924 0.003893594 0.007405036 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0033061935 5.966948e-05 1.0084983e-05 3.361661e-06 3.361661e-06 3.361661e-06 8.404152e-06 3.361661e-06 1.6808305e-06 0.0 0.0 8.404152e-07 2.8574117e-05 0.0 0.0 1.3446644e-05 0.011006919 0.00012942395 0.00013950893 0.000111775225 3.193578e-05 4.538242e-05 0.000108413566 5.0424915e-05 9.41265e-05 4.538242e-05 6.555239e-05 5.462699e-05 4.9584498e-05 3.7818685e-05 3.361661e-06 7.3956544e-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 0.002938932 3.2776195e-05 2.6893287e-05 6.4711974e-05 8.320111e-05 5.630782e-05 7.311613e-05 1.5127474e-05 2.6052872e-05 4.202076e-06 3.361661e-06 4.202076e-06 2.3531626e-05 3.529744e-05 2.9414534e-05 2.5212457e-05 0.0027691682 4.6222838e-05 4.7903668e-05 2.0169966e-05 0.0001269027 6.555239e-05 7.899903e-05 4.8744085e-05 6.975447e-05 1.3446644e-05 1.0084983e-05 1.4287059e-05 2.101038e-05 1.2606229e-05 5.630782e-05 4.1180345e-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 0.004406297 7.563737e-06 0.0007992349 6.4711974e-05 0.00011261564 9.41265e-05 0.0020052306 0.0010933803 5.0424915e-06 2.5212457e-06 8.404152e-07 2.5212457e-06 1.6808305e-06 0.0 1.6808305e-06 8.404152e-06 0.0020405282 7.563737e-06 0.000188253 6.63928e-05 8.236069e-05 8.152028e-05 0.00054374867 0.00025800747 4.454201e-05 8.404152e-07 2.5212457e-06 8.404152e-06 2.269121e-05 0.0 1.3446644e-05 8.152028e-05 0.0037583369 8.404152e-05 0.00031599612 0.00023951834 0.000540387 0.00029498574 0.0017060429 0.00088579766 0.00024288 0.00011009439 3.1095362e-05 6.387156e-05 5.294616e-05 3.9499515e-05 5.0424915e-05 0.00018993384 0.0011715388 2.1850796e-05 7.3956544e-05 0.00010589232 0.00025632663 0.00011009439 0.000773182 0.00046054754 0.00013362602 6.723322e-05 6.723322e-06 4.1180345e-05 3.193578e-05 1.4287059e-05 1.9329551e-05 0.00015463641 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00062947103 6.891405e-05 4.454201e-05 3.7818685e-05 0.00012942395 0.000143711 0.00017732762 0.00012270063 8.908402e-05 8.152028e-05 9.244568e-06 1.0084983e-05 2.6052872e-05 1.1765813e-05 2.6893287e-05 0.00011261564 0.008529374 0.0017724357 0.00089168054 0.0012757503 0.0017194896 0.0025355327 0.0013690364 0.001815297 0.004200395 0.00032944276 0.00047315378 0.0008496598 0.0014984603 0.0006135031 0.001323654 0.003505372 0.004896259 0.0012841545 0.00054795074 0.00091101014 0.00080427737 0.0017320958 0.0009521905 0.0012328891 0.0021354952 0.00023027377 0.00048576 0.00051601493 0.0010479979 0.00052021706 0.00095639256 0.0024010662 0.05553296 0.05653389 0.0563053 0.05602628 0.05610612 0.05578424 0.056500275 0.055912826 0.056336395 0.05698183 0.056379255 0.055711124 0.05642968 0.055666585 0.056075025 0.056169152 2933.0 6.3314013 18570.0 0.009369952 0.009585353 0.008454496 0.0072159395 0.009208401 0.009800754 0.008939149 0.007915993 0.009693054 0.0077005923 0.009154551 0.008723748 0.0073774904 0.0099623045 0.010608508 0.009531503 0.008939149 0.0098546045 0.008885299 0.011416263 0.009262251 0.0077544427 0.008508347 0.008562197 0.008131395 0.008239095 0.007969844 0.008454496 0.008400646 0.007108239 0.008400646 0.0078082928 0.008077544 0.014324179 0.008723748 0.010393107 0.012224018 0.012170167 0.011254712 0.011577814 0.011093161 0.011577814 0.009423802 0.008239095 0.011200862 0.010393107 0.007862143 0.010177706 0.011523963 0.009262251 0.009531503 0.015131934 0.011147011 0.010339257 0.010716209 0.01098546 0.008131395 0.008562197 0.008346796 0.008831449 0.01087776 0.0071620895 0.008616047 0.0091007 0.0073774904 0.015831986 0.008939149 0.012116317 0.014701131 0.02897146 0.012170167 0.010070005 0.01087776 0.016962843 0.009262251 0.008616047 0.018578352 0.010446957 0.016532041 0.017178245 0.011147011 0.0073774904 0.017609047 0.01610124 0.021001615 0.012170167 0.008454496 0.011147011 0.008939149 0.008077544 0.008993 0.0099623045 0.008292946 0.0072159395 0.009208401 0.0077544427 6.522874 0.0 0.0 0.0 12.0 596621.0 1716224.0 1.0 0.0 126.0 0.0 1.0 0.0 0.0 0.0 983483800.0 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 0.0 5.0 1.0 4.0 0.0 34304.0 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 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34304.0 0.0 1666048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.184279 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6001506 0.0 7.962153 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7140.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -34290.0 0.0 1665980.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 35464.0 1665980.0 49152.0 0.0 0.0 6456.0 1702400.0 0.0 0.0 28.0 4624.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 528.0 4096.0 0.0 0.0 0.0 0.0