Input: 0.08671192 0.0059721563 0.004777725 0.0046411026 0.005441899 0.003764555 0.0038416588 0.0036455176 0.006406372 0.0033289867 0.0032194182 0.0032681152 0.005057733 0.0032735262 0.0029962233 0.006333326 0.0049102893 0.0029069453 0.0028487793 0.0028014348 0.0037496754 0.0033438664 0.0031653102 0.0027811446 0.0035927626 0.0029380573 0.0028704226 0.0028149618 0.0032586465 0.002760854 0.0028920656 0.003046273 0.0045193597 0.002823078 0.0029069453 0.0028744806 0.004442256 0.002929941 0.002787908 0.0027703228 0.003011103 0.0027933188 0.002747327 0.0034967212 0.0029380573 0.0032762315 0.002863659 0.0027243313 0.0035616504 0.0028420158 0.0029367045 0.004723617 0.0030530365 0.0028920656 0.0027703228 0.0027283893 0.003345219 0.0032140075 0.0026485801 0.0038105466 0.003015161 0.0029110033 0.0027554433 0.0028893603 0.0045261234 0.003479136 0.0064915917 0.0050753183 0.0038064886 0.005812538 0.0036225219 0.003327634 0.0034101484 0.003247825 0.0030070448 0.002850132 0.00330058 0.0043678577 0.0031436672 0.0029786383 0.005103725 0.0033830944 0.0031815427 0.0039106463 0.0032275345 0.0040607955 0.0044165547 0.0038687126 0.0030963228 0.004393559 0.002737858 0.0029813435 0.00281902 0.003755086 0.0036996256 0.0035859991 0.003310049 0.0038903558 0.0030381568 0.0034967212 0.0034818414 0.004693858 0.0040432108 0.0030746798 0.0038146048 0.0036874514 0.004597816 0.0027838498 0.0037496754 0.003153136 0.0037699658 0.0040039825 0.0034466712 0.0027419163 0.004378679 0.004232588 0.0070624296 0.0067066704 0.0031869535 0.0031734265 0.0030922648 0.0031950697 0.0027540906 0.0026878084 0.0030611528 0.0035048372 0.0032951692 0.003203186 0.0036739244 0.003358746 0.0030178665 0.007204463 0.0037591443 0.006722903 0.0029732275 0.0029732275 0.003465609 0.0067675416 0.0032410615 0.012711291 0.0030489785 0.005915343 0.0029624058 0.0028068458 0.0029651113 0.0027703228 0.002737858 0.0029786383 0.0029137088 0.0030232773 0.002760854 0.002809551 0.002984049 0.0030029868 0.00281902 0.0027662648 0.0030002813 0.0030584473 0.0028257836 0.003063858 0.0029948705 0.0030381568 0.0028284888 0.0030679163 0.0029921653 0.0029935178 0.0027392108 0.002796024 0.0029407628 0.0029096508 0.0028041403 0.0027283893 0.0029312938 0.0028514848 0.0027770863 0.0028203726 0.0030990283 0.0027906133 0.0028744806 0.0028825968 0.0028974763 0.0030124555 0.0036076421 0.0031071445 0.0032464722 0.0028041403 0.002966464 0.0028433686 0.0028122566 0.002894771 0.0029055926 0.0028528373 0.0054716584 0.004139252 0.0035927626 0.004488248 0.0037483226 0.0029150615 0.0035278331 0.00386736 0.0035724721 0.004010746 0.002961053 0.0029475263 0.0035724721 0.002823078 0.0030368043 0.0029786383 0.0032816422 0.002881244 0.003108497 0.0030611528 0.0031477252 0.002743269 0.0028596008 0.002908298 0.0031382565 0.002961053 0.00285419 0.0030489785 0.002979991 0.0028690698 0.0029502315 0.002706746 0.003368215 0.0028433686 0.0028203726 0.0027933188 0.003345219 0.0030530365 0.0027892606 0.0027243313 0.007972795 0.003710447 0.0027770863 0.004339451 0.004133841 0.0027080989 0.0027973768 0.002774381 0.0040621483 0.0030719743 0.002894771 0.002908298 0.0030665635 0.0028014348 0.0037632023 0.0033790364 0.0045058327 0.0030489785 0.003122024 0.0030855013 0.004133841 0.0039498745 0.0041811857 0.03068322 0.011111111 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001300727 0.0 3.390842e-06 3.390842e-06 2.0345053e-05 6.781684e-06 2.7126736e-05 2.3735895e-05 2.0345053e-06 0.0 0.0 0.0 0.0 6.781684e-07 6.781684e-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 0.007062446 5.967882e-05 6.306966e-05 6.4426e-05 0.00016479492 0.00021294488 0.00024549695 0.00014987521 4.747179e-05 2.1023221e-05 3.0517578e-05 2.7126736e-05 6.306966e-05 1.8988716e-05 3.86556e-05 6.374783e-05 0.003289795 6.578233e-05 7.188585e-05 3.119575e-05 0.00022583008 5.900065e-05 8.816189e-05 8.477105e-05 2.57704e-05 2.3057726e-05 1.8310548e-05 8.81619e-06 6.781684e-06 1.3563368e-05 1.1528863e-05 0.00014241536 0.008945041 0.0002766927 0.0004903158 9.9690755e-05 0.00056016713 0.00025634764 0.0013902453 0.0007195367 6.578233e-05 0.00011189779 4.1368272e-05 6.4426e-05 6.510417e-05 7.5954864e-05 4.2046442e-05 0.0006842719 0.008640544 0.00012546116 0.00046725804 0.00011393229 0.0011189779 0.00024820963 0.0010403104 0.00058932835 5.3575302e-05 6.713867e-05 0.00018378363 8.3414714e-05 7.93457e-05 8.612739e-05 4.8149956e-05 0.00094333227 0.005364312 6.781684e-05 0.0002766927 0.00014309354 0.00072089303 0.0003153483 0.001791721 0.00091824 0.000101047095 5.2897136e-05 0.000115966795 4.340278e-05 9.2230905e-05 9.9012585e-05 2.3735895e-05 0.0009847005 0.0040235734 0.00010579427 0.00020548502 0.000128852 0.0006035699 0.00026312933 0.0006883409 0.00048217774 0.00014919705 0.00023668077 0.00011257595 7.73112e-05 9.358724e-05 7.5276694e-05 5.0184462e-05 0.0010375977 0.0065016006 0.0004903158 0.0008192274 0.0003133138 0.0017381456 0.0005533854 0.0029683432 0.0015211317 0.00032891167 0.00054389104 0.00028279622 0.00018039279 0.00026991102 0.0003241645 0.0002081977 0.002400716 0.005135091 0.0002360026 0.0003716363 0.0003133138 0.0007961697 0.0003648546 0.0009969076 0.0007446289 0.00041910808 0.00038587782 0.00037095812 0.00048082139 0.00048014324 0.00035400392 0.00033365886 0.002105713 0.0046902127 0.00040283203 0.00050591363 0.00056423614 0.001034885 0.0006727431 0.0007154677 0.0007941352 0.0018358019 0.0006890191 0.00074598525 0.0010335286 0.0011406792 0.0007453071 0.0009250217 0.005726454 0.024971517 0.0042297365 0.0032192655 0.003918457 0.008523898 0.007240804 0.004167345 0.0068400064 0.016227214 0.0015916612 0.0013522678 0.002255588 0.007546658 0.00230306 0.0068800184 0.01539917 0.020613607 0.004442003 0.0035983615 0.004606798 0.0075032553 0.00826077 0.004837375 0.007029894 0.013753934 0.001896837 0.0019551595 0.0021999783 0.007326253 0.0029568141 0.006024848 0.012716336 0.04051717 0.04019165 0.03975491 0.039734565 0.039513484 0.03981052 0.03954468 0.03980984 0.041674804 0.0409139 0.04104004 0.041200086 0.04057685 0.040511068 0.040441215 0.040598553 2964.0 8.4197035 24956.0 0.025925629 0.0048084627 0.0062510017 0.005048886 0.008815515 0.00532938 0.0045279693 0.0072126943 0.0056900145 0.0053694504 0.0058502965 0.0059705083 0.005890367 0.0065715658 0.010177913 0.0076133995 0.011540311 0.0076133995 0.007493188 0.0068921302 0.005209168 0.0062910723 0.005730085 0.0049286745 0.0061708605 0.0068921302 0.0065314956 0.0059304377 0.006491425 0.0057701557 0.005289309 0.007573329 0.013664049 0.0099775605 0.0057701557 0.0109392535 0.0099775605 0.008134317 0.010217983 0.00913608 0.007893893 0.008615162 0.0070524123 0.0066917776 0.008054175 0.0067719184 0.0059705083 0.007252765 0.0150665175 0.0065715658 0.0070524123 0.013343484 0.00765347 0.0066917776 0.011860875 0.011099535 0.0066917776 0.005730085 0.005209168 0.005209168 0.0061307903 0.0048485333 0.0064112837 0.010859112 0.006972271 0.02604584 0.0109392535 0.023641609 0.01907357 0.04672223 0.011339959 0.011981087 0.010899182 0.026967462 0.010738901 0.0058502965 0.021998718 0.014345247 0.02440295 0.03061388 0.013583908 0.0060907197 0.0328979 0.027688732 0.03742587 0.015587434 0.008775445 0.008374739 0.008535022 0.011139606 0.0054095206 0.005569803 0.0055297324 0.0043676873 0.005810226 0.006731848 6.2905645 3.0 18.0 0.0 17.0 739264.0 770048.0 0.0 0.0 116.0 0.0 1.0 1.0 0.0 0.0 1421149200.0 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 11.0 0.0 5.0 1.0 5.0 1.0 150016.0 1024.0 4096.0 2.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -695296.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.669099 0.0 6.0954547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -729088.0 0.0 36864.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 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 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 203536.0 33063.0 733184.0 0.0 0.0 5000.0 606776.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.02224401 0.00426543 0.0045397608 0.004262956 0.0047827 0.0040398105 0.0038672325 0.0039830576 0.0039564595 0.0038162014 0.003787129 0.0036304789 0.0040235734 0.0038050672 0.003832593 0.0039224387 0.004610277 0.0037945518 0.0037532628 0.0036903245 0.0037512525 0.0038038301 0.0036801184 0.0036790357 0.003901717 0.0039190366 0.00386615 0.0036646542 0.0038338304 0.00379316 0.0037425926 0.0037054792 0.0040367176 0.003675943 0.003724036 0.0037956343 0.0038350674 0.0037916135 0.0036292418 0.003699139 0.0037473866 0.0037031595 0.0037579022 0.003750634 0.0037229536 0.0036818194 0.003703469 0.0037800155 0.0039467174 0.00392414 0.003921975 0.0040347073 0.0038214591 0.0038630571 0.0038653768 0.0037461494 0.0039419234 0.0039689853 0.003918882 0.0038482118 0.0038830058 0.003913006 0.0039225933 0.0039375937 0.0042402237 0.0040051714 0.0041771308 0.0037877476 0.0038758924 0.0039394493 0.0038672325 0.0038380055 0.0038127992 0.0037999642 0.003779861 0.003707799 0.0040492434 0.0036923348 0.0037725929 0.0037009947 0.0038445003 0.0037784693 0.0037473866 0.0038440365 0.0038063044 0.003937903 0.003826562 0.0037093451 0.0037913043 0.0039496557 0.0038319745 0.003777696 0.003710273 0.0037719742 0.003817593 0.00370517 0.0037823352 0.0038491397 0.003681974 0.0038998614 0.0039617172 0.0041410998 0.0039041913 0.0040020784 0.0038273353 0.003862748 0.0036705306 0.003854088 0.0039380575 0.003774294 0.0038305828 0.0037677991 0.0038458921 0.0037575928 0.003953831 0.003962336 0.0040775426 0.0039055832 0.0037200153 0.0037122834 0.0037562011 0.0038273353 0.0037258917 0.0039106864 0.0037824898 0.0038013558 0.0037973353 0.0038636758 0.0045040394 0.0037384175 0.0037555825 0.0039290884 0.0036890875 0.0037297576 0.0036999122 0.003751098 0.003702541 0.0038075414 0.0036706852 0.0042343475 0.003881614 0.0038823872 0.0037818712 0.0037569744 0.0038312015 0.003748933 0.0036833656 0.0037073349 0.003750634 0.00373517 0.0037333143 0.0036485717 0.003688778 0.0038427995 0.0036711493 0.003581922 0.0038295004 0.0037545 0.003809088 0.0038868717 0.0037594484 0.003663881 0.0037037781 0.0038134179 0.0036391388 0.0036900153 0.0036982112 0.0037013039 0.0036748606 0.0036281594 0.0037831084 0.003691871 0.003814191 0.003774294 0.0036572316 0.0037074895 0.0037679537 0.003683675 0.003847284 0.0038703252 0.003739964 0.0037718196 0.0037773866 0.0036512006 0.0036903245 0.0037101184 0.0036494995 0.0036700666 0.0037552733 0.0037763042 0.003716768 0.003799191 0.0040037795 0.0037781599 0.0036518192 0.0038956862 0.0036983658 0.0036462522 0.0038277993 0.003761768 0.0038109436 0.0037942424 0.0037463042 0.0037574382 0.003835686 0.0036787265 0.0039100675 0.004031769 0.003820686 0.0037333143 0.0037002214 0.003747232 0.0036225922 0.003652747 0.0038084693 0.0037908403 0.0037577474 0.0038073868 0.0037744485 0.0036878502 0.0036567675 0.0036839843 0.0036927988 0.0038228508 0.0038414076 0.0036723863 0.003623984 0.003762696 0.0037413556 0.0036801184 0.0036921802 0.0039515113 0.0039999136 0.0037023865 0.003600788 0.003855789 0.0037526444 0.0037572836 0.0037118194 0.0038762016 0.0038327477 0.0036941904 0.0036447058 0.003848521 0.0036512006 0.0036972833 0.0038625933 0.003940377 0.0038434179 0.0037503247 0.0036924894 0.0038737273 0.0038445003 0.003847284 0.003986769 0.0089978725 0.00015451155 1.7786615e-06 5.4133176e-07 1.5466622e-07 3.8666553e-07 7.733311e-08 7.733311e-08 1.5466622e-07 7.733311e-08 0.0 0.0 0.0 7.733311e-08 7.733311e-08 7.733311e-08 3.8666553e-07 0.0002889165 2.7839918e-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 0.00043244674 5.7226503e-06 2.0879938e-06 1.2373298e-06 1.5466621e-06 1.0053304e-06 6.186649e-07 4.1759877e-06 9.279973e-07 5.4133176e-07 1.5466622e-07 2.3199932e-07 4.6399864e-06 1.5466622e-07 3.0933245e-07 1.9333278e-05 0.0008590162 0.00020400474 2.938658e-06 3.7119892e-06 3.7119892e-06 3.557323e-06 3.0159913e-06 2.783992e-06 2.165327e-06 1.9333277e-06 9.279973e-07 5.877316e-06 1.0826635e-06 7.7333107e-07 7.7333107e-07 1.2373297e-05 0.0018225093 0.0006612754 4.949319e-06 2.7066587e-06 0.00039022288 2.6293258e-06 2.2426602e-06 2.783992e-06 0.00039014552 2.0879938e-06 2.0106609e-06 3.557323e-06 3.2479907e-06 9.975971e-06 1.8559946e-06 2.3741264e-05 0.0012751457 4.083188e-05 1.8559946e-05 2.8149252e-05 9.395973e-05 1.4615957e-05 1.1909298e-05 1.4615957e-05 7.733311e-05 7.191979e-06 6.0319826e-06 1.863728e-05 1.6781285e-05 4.330654e-06 7.655978e-06 0.000106410356 0.0012611484 3.139724e-05 2.4282595e-05 3.0933243e-05 8.777308e-05 2.3045266e-05 3.8666556e-05 2.5906591e-05 1.3842627e-05 8.815974e-06 6.8053137e-06 5.2663847e-05 7.114646e-06 5.490651e-06 8.970641e-06 0.000115303665 0.0017539923 7.400779e-05 9.774905e-05 0.000109271685 0.00014144226 3.9517217e-05 0.00018258348 0.00011267434 5.5138506e-05 1.8946612e-05 1.886928e-05 2.3045266e-05 2.8071918e-05 5.6839835e-05 1.4847957e-05 0.00012381031 0.0010172398 5.0034523e-05 6.0861155e-05 2.6602589e-05 6.0397157e-05 4.1682546e-05 0.00015281023 9.303173e-05 2.3509265e-05 2.3431932e-05 1.7554616e-05 1.670395e-05 1.9951942e-05 8.970641e-06 7.191979e-06 0.0001221863 0.0013174468 9.256773e-05 6.7279805e-05 0.0001025437 0.00015969286 5.923716e-05 0.00016928218 9.504239e-05 7.810644e-05 3.131991e-05 3.131991e-05 3.5495897e-05 5.65305e-05 6.310382e-05 3.3794568e-05 0.00014128759 0.001958693 0.0001403596 0.0001712155 0.00018065014 0.00040947882 0.000115535666 0.00035124697 0.00026471124 6.318115e-05 6.635181e-05 5.1349183e-05 6.310382e-05 7.578645e-05 4.6786532e-05 3.4490567e-05 0.0002832712 0.0018829838 0.00024228463 0.00024313529 0.0010540503 0.00032294306 0.00020214875 0.00029997513 0.00022906066 0.00014484492 0.00012527964 0.00011654099 0.00013687961 0.00013022896 0.000114917 0.00013231696 0.0006407821 0.0049478495 0.00041798546 0.0005636037 0.00075013115 0.00079073105 0.00057149166 0.0005881183 0.00050011324 0.00045703867 0.00036044963 0.00038836687 0.00041148948 0.0004459027 0.00032750572 0.00018822879 0.0025450327 0.0024702514 0.00023331399 0.00026826854 0.00032503105 0.0005431878 0.0005370784 0.00048062528 0.00042162012 0.0006750407 0.00022465269 0.00022403401 0.00028504984 0.00038666555 0.000230994 0.00030422845 0.0014175159 0.0014717263 0.00027213522 0.0003031458 0.00035983097 0.0005588864 0.0005465904 0.0005127185 0.00046051867 0.0008782721 0.000115612995 0.00013749827 0.00019356477 0.0004330654 0.00023980998 0.0004390974 0.0008380589 0.0597829 0.058698382 0.058206003 0.059485402 0.058483474 0.058696758 0.058949713 0.05917282 0.05866018 0.058923498 0.058405597 0.058637135 0.059225563 0.058657937 0.059056435 0.059625298 30536.0 6.025216 183986.0 0.011441088 0.0089572035 0.009343103 0.009364843 0.009761612 0.00984314 0.00957138 0.009044167 0.009701825 0.009196352 0.009783353 0.009044167 0.009761612 0.009864881 0.010424706 0.010158381 0.011332384 0.010729077 0.010886698 0.010886698 0.010685596 0.010299697 0.010587762 0.009767047 0.010826911 0.010354049 0.010924744 0.010180122 0.010065983 0.009935538 0.0099953255 0.009815964 0.010435577 0.010892133 0.009614862 0.010359484 0.011044319 0.010745383 0.010359484 0.009799658 0.010169252 0.010832346 0.009468112 0.0095333345 0.010364919 0.009353973 0.010277956 0.009109389 0.010234474 0.009109389 0.009848575 0.011147588 0.010826911 0.010593197 0.010093159 0.009288751 0.0098866215 0.010364919 0.009767047 0.009593121 0.009549639 0.009767047 0.010136641 0.009169176 0.009614862 0.0123759415 0.009462677 0.01233246 0.011522616 0.018110074 0.010348613 0.011109541 0.010484493 0.013930407 0.009136565 0.010033372 0.01247921 0.011696542 0.012778146 0.012625961 0.011191069 0.0089300275 0.014468492 0.013490157 0.015571837 0.010935615 0.009620297 0.009136565 0.0098866215 0.010305132 0.009348538 0.009076778 0.009234399 0.00899525 0.00899525 0.008500647 6.572163 1.0 40.0 0.0 93.0 6466640.0 970752.0 0.0 0.0 132.0 1.0 1.0 1.0 1.0 0.0 1516712300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 2.0 25.0 5.0 0.0 5.0 0.0 139776.0 1024.0 4096.0 10.0 2.0 0.0 2.0 5.0 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 0.0 512.0 -3584.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6656.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136192.0 -4096.0 760320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9.529918 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.163891 -6.1192107 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.7910068 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.9738874 -5.0144606 7.5435953 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 -11660.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 -3436.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 22528.0 0.0 0.0 -6288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -136120.0 -3860.0 759936.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 3860.0 180224.0 759936.0 208896.0 0.0 0.0 14712.0 6451928.0 11460.0 196608.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 192512.0 0.0 0.0 0.0 0.0 572.0 181036.0 200.0 184320.0 0.0 0.0


Input: 0.0072213174 0.0039159777 0.0037829399 0.0038611412 0.0038302422 0.0038285255 0.003870964 0.0038549423 0.0038111687 0.003822899 0.0038161278 0.0038614273 0.0038612366 0.0038527488 0.0038589477 0.003919029 0.0038208961 0.003835392 0.0038204193 0.0038804053 0.0038316727 0.0038823127 0.0038871765 0.0038452148 0.003840351 0.003866577 0.0038609505 0.0038596154 0.0038492202 0.0038575171 0.0038404465 0.003891945 0.003924751 0.0038586617 0.0038168908 0.003852272 0.003913498 0.0038350106 0.0039052963 0.0038498878 0.0038459778 0.003847599 0.0038305284 0.0038601875 0.0038934709 0.0038776398 0.003878498 0.0038960457 0.0038155555 0.0038770675 0.00388422 0.003970909 0.0039546015 0.0038924217 0.003910637 0.0038793564 0.003813076 0.0038567544 0.0038648606 0.0039204597 0.0038399696 0.0038658143 0.0038972856 0.0039310455 0.003868866 0.004028797 0.0038592338 0.0038559914 0.003909588 0.0039649964 0.0039019585 0.0039154054 0.0038230896 0.003917408 0.0038560866 0.003877449 0.0038721084 0.0039434433 0.0038887977 0.0038538934 0.0039325715 0.0038485527 0.0038392066 0.003939533 0.0038749694 0.0038934709 0.003941822 0.0039085387 0.003874302 0.0039831162 0.003895855 0.0038584708 0.003884411 0.0039048195 0.0039076805 0.003931427 0.0038129806 0.0038825988 0.0039048195 0.0038846016 0.003888607 0.00401516 0.00396595 0.003904438 0.0039764405 0.0039693834 0.0039510727 0.0038946152 0.003960228 0.003944874 0.00393734 0.0039898874 0.0038891793 0.0038721084 0.0039154054 0.0039524077 0.004065418 0.0040229796 0.0038845062 0.0038825988 0.0038326264 0.0038591386 0.0038396835 0.0039165495 0.0039057732 0.0039691925 0.003960514 0.0039881705 0.0039308546 0.0038082122 0.0037707328 0.0040172576 0.0038040162 0.003907108 0.0038442612 0.003860569 0.0037981987 0.0039112093 0.003846836 0.004136181 0.0038762093 0.0039658546 0.0038287162 0.0038891793 0.0038298606 0.0038649559 0.0038562776 0.0038461685 0.0038748742 0.0038654327 0.0039013862 0.0038917542 0.0038560866 0.0038791657 0.0039001466 0.0038864135 0.0038310052 0.0038691522 0.003832054 0.003909302 0.003825569 0.0038684844 0.003870964 0.0039128303 0.0038098334 0.0038809776 0.0038446425 0.003934288 0.0038453103 0.0038708686 0.0038599013 0.0038514137 0.0038705827 0.0038937568 0.00384264 0.0038969994 0.0038379668 0.0038866997 0.003890419 0.0039211274 0.0038643838 0.0038877488 0.0039007186 0.0038896562 0.0038425445 0.0038702965 0.0038283349 0.0038931847 0.0038379668 0.003910923 0.003926468 0.0040314673 0.003857708 0.0038578033 0.003852558 0.003935337 0.0038732528 0.0038741112 0.0038933754 0.0038890839 0.00388031 0.0038669587 0.0038963319 0.0039362907 0.003908253 0.0039115907 0.0038683892 0.0039261817 0.0038656234 0.0038983345 0.0038383484 0.003925705 0.0038968087 0.0038903237 0.0039619445 0.0039323806 0.0038799285 0.0039416314 0.0039180755 0.0039170263 0.0038862228 0.003905487 0.0038601875 0.0039557456 0.0038597106 0.0038552284 0.0038456917 0.0038973808 0.0038537025 0.0038606643 0.0038498878 0.003913498 0.0040777205 0.003892994 0.0038701058 0.003955841 0.00392189 0.0039319037 0.0038679123 0.003995991 0.00391264 0.0038352013 0.0039011003 0.0038791657 0.0038801194 0.0038953782 0.0039367676 0.003985119 0.0039434433 0.003924751 0.0039480207 0.003978157 0.0039603235 0.003989792 0.0040174485 0.0045776367 0.0004883289 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0001731088 2.0029117e-06 1.7167814e-06 1.526028e-06 8.049797e-05 2.5465592e-05 2.0029117e-06 1.7167814e-06 3.81507e-07 4.768837e-07 5.245721e-07 6.676372e-07 1.907535e-07 1.144521e-06 4.768837e-07 1.0968325e-06 8.3073144e-05 2.8613024e-07 2.289042e-06 2.0506e-06 7.067417e-05 2.3939563e-05 6.008735e-06 3.5289395e-06 1.2875861e-06 5.245721e-07 9.537675e-08 9.537675e-08 9.537675e-08 2.3844186e-07 9.060791e-07 2.3844186e-07 0.00030983135 8.726972e-06 5.6749163e-06 5.8656697e-06 1.7453944e-05 6.104112e-06 9.5376745e-06 7.2009443e-06 2.6705488e-06 2.0982884e-06 2.3844186e-06 1.0491442e-06 1.9075349e-06 1.6214046e-06 1.6214046e-06 6.914814e-06 6.5285385e-05 1.4306512e-07 2.3844186e-07 3.81507e-07 4.5303955e-06 2.9089908e-06 1.5307967e-05 8.011647e-06 1.4306512e-07 9.537675e-08 1.907535e-07 1.4306512e-07 4.7688374e-08 4.7688374e-08 9.537675e-08 9.537675e-08 0.00036329002 5.484163e-06 5.7369114e-05 6.914814e-06 1.5498721e-05 1.4592642e-05 0.00014416195 7.30109e-05 4.2919535e-07 1.907535e-07 2.3844186e-07 3.338186e-07 4.2919535e-07 4.7688374e-08 3.81507e-07 1.2875861e-06 0.0002473596 3.052056e-06 2.1888964e-05 6.1518e-06 9.203856e-06 6.2471768e-06 4.3825614e-05 2.3367304e-05 2.432107e-06 3.5050954e-05 1.9552233e-06 1.526028e-06 2.8613024e-06 3.6100097e-05 2.4797953e-06 4.482707e-05 0.00037702426 9.633051e-06 4.2919535e-05 2.1555144e-05 5.1741885e-05 3.0377494e-05 0.0001578962 7.835199e-05 1.3352745e-05 1.5212591e-05 4.9119026e-06 4.1012e-06 1.0109935e-05 1.4974149e-05 5.2457212e-06 4.1584262e-05 0.00022108329 8.917726e-06 5.7321424e-05 2.5656345e-05 6.237639e-05 2.7754633e-05 0.00013400432 7.220019e-05 7.534763e-06 1.7167815e-05 4.0058235e-06 4.0058235e-06 4.4350186e-06 1.788314e-05 5.1503444e-06 1.4163446e-05 7.754129e-05 3.052056e-06 3.0949755e-05 1.349581e-05 1.3114302e-05 1.1254456e-05 7.434617e-05 4.4016368e-05 2.8613024e-06 5.6749163e-06 1.5737163e-06 1.3829629e-06 1.6690931e-06 5.8656697e-06 1.8121582e-06 4.38733e-06 6.533307e-06 3.0043675e-06 3.4812513e-06 2.7182373e-06 3.981979e-05 1.4735707e-05 3.3381862e-06 3.4335628e-06 3.1474326e-06 2.0029117e-06 1.3829629e-06 2.956679e-06 2.7182373e-06 2.813614e-06 2.9089908e-06 2.6705488e-06 0.00021788817 3.228503e-05 2.2699665e-05 3.4717137e-05 7.5824515e-05 7.0388036e-05 2.9805233e-05 5.04543e-05 0.00011755184 1.0634507e-05 8.77466e-06 1.5212591e-05 4.2919535e-05 1.8836907e-05 4.6210032e-05 8.478993e-05 0.0012769515 0.00023958638 0.00018407711 0.0003333894 0.0004905226 0.0004814141 0.00022098792 0.00040592343 0.0007062648 8.512375e-05 8.712666e-05 0.000106249696 0.00038765877 0.0001201747 0.00037788268 0.0007472768 0.061027955 0.061355338 0.06145815 0.061721772 0.06140803 0.061705988 0.06204281 0.06198673 0.06134046 0.061722964 0.061768413 0.06208497 0.061775327 0.06225588 0.06200695 0.06261836 49473.0 5.8328586 288569.0 0.012555056 0.009793152 0.010385731 0.009980282 0.00977929 0.0100842435 0.009983747 0.01000454 0.010306028 0.010278304 0.0097654285 0.010073847 0.010139689 0.010195135 0.010323354 0.0099629555 0.01004959 0.009942163 0.010475831 0.010406523 0.0102436505 0.01000454 0.010295631 0.010087709 0.009820875 0.010080778 0.010053055 0.010039194 0.00995949 0.010032263 0.009990678 0.009845132 0.010195135 0.011321383 0.010035728 0.010087709 0.012672879 0.010115432 0.010143154 0.011186233 0.009862459 0.011792674 0.0100010745 0.009817409 0.010087709 0.010229789 0.011546632 0.009807013 0.011539701 0.009966421 0.010105035 0.010822368 0.010347612 0.010704545 0.01060405 0.010143154 0.011442671 0.010461969 0.010066916 0.010195135 0.010077313 0.009872856 0.009772359 0.010111966 0.00991444 0.011272867 0.010552069 0.010919399 0.010503554 0.01300902 0.010583257 0.010371869 0.010437711 0.011771881 0.010312958 0.009800082 0.011387224 0.010884745 0.011456532 0.011560493 0.010503554 0.009987213 0.011650593 0.011584751 0.011886239 0.010385731 0.010202066 0.010157016 0.009706518 0.0103268195 0.009907509 0.009852063 0.009723844 0.010136224 0.009703052 0.009474337 6.5818157 3.0 2.0 0.0 168.0 10485760.0 16728064.0 0.0 0.0 168.0 0.0 1.0 0.0 0.0 0.0 1257193300.0 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 73728.0 4096.0 4096.0 5.0 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 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 16551936.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.4647307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9758785 0.0 0.0 7.9998837 0.0 0.0 0.0 0.0 0.0 -6.620693 0.0 4.3494997 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14146.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -59204.0 0.0 0.0 16551936.0 0.0 0.0 0.0 0.0 0.0 -73717.0 0.0 17516.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 -2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 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 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 50.0 91920.0 140.0 88132.0 17516.0 155648.0 0.0 0.0 7208.0 16674816.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 85576.0 0.0 0.0 696.0 77824.0 0.0 0.0 0.0 0.0


Input: 0.04287407 0.0060368115 0.0033021055 0.0046166577 0.004919889 0.0028376589 0.0030104609 0.004679224 0.0052611893 0.003020392 0.0030991791 0.0026264566 0.004670286 0.0026857124 0.0033371954 0.0054608053 0.0035725636 0.0028972458 0.002681409 0.002413268 0.0030627649 0.0032534427 0.0023497087 0.0024841102 0.0038311044 0.0036659164 0.00238844 0.0031213586 0.0043617585 0.003473252 0.003349444 0.0042233844 0.0036407574 0.0020868643 0.0022937632 0.0044071106 0.0046285754 0.0023113082 0.0023374602 0.003473252 0.0025708422 0.0025016551 0.0030756753 0.0035013903 0.0028922802 0.0029022114 0.0027121955 0.0026638638 0.0032090836 0.0034570312 0.0034080376 0.0041621425 0.0029088322 0.0027284164 0.003212725 0.003004502 0.004351165 0.0040691206 0.0031180482 0.0038066076 0.0041349973 0.00400821 0.0038115731 0.005398901 0.003749338 0.003238877 0.0025999735 0.002613215 0.0023331568 0.0077731065 0.0036483712 0.0037572829 0.0046971003 0.0047596665 0.0027035885 0.0025847459 0.0024771583 0.006753178 0.0030534957 0.0039618644 0.004134335 0.0036930614 0.0031617451 0.003082958 0.0031253311 0.0065737553 0.0034480933 0.0035239009 0.002915453 0.003247153 0.00270723 0.00316009 0.0030534957 0.003411679 0.0029704052 0.003880429 0.002977688 0.0027310646 0.002560911 0.0038128973 0.0036556541 0.0036344677 0.0034007549 0.0033444783 0.0031706833 0.0033040915 0.0035957363 0.0030313162 0.0032259666 0.003543432 0.0037357653 0.003775159 0.0035963983 0.0037357653 0.0038844014 0.0042233844 0.0046742586 0.0047497354 0.003360368 0.0032484771 0.0037271583 0.003334216 0.0033709614 0.0030134402 0.003750662 0.003725503 0.004018803 0.004810315 0.0034345207 0.00317598 0.0032339115 0.006630032 0.0025936838 0.006503906 0.0027661547 0.0027383475 0.0028707627 0.00920617 0.003194518 0.01451536 0.0041978946 0.007196769 0.0041601565 0.0039357124 0.0032699946 0.003602688 0.0034500794 0.003246491 0.002559918 0.005209547 0.0028783765 0.002812831 0.0025466764 0.0026721398 0.0026896847 0.0027062367 0.0039125397 0.0026161943 0.003923464 0.0041637975 0.002821769 0.0028525556 0.0021418168 0.0030796477 0.003090572 0.0029694121 0.0025913664 0.003514632 0.0030707098 0.0029988745 0.0029005562 0.0029747088 0.0029273701 0.0032279529 0.0028605005 0.0036083157 0.002908501 0.0030703787 0.0026195047 0.0027873411 0.0031531383 0.0032703257 0.003531515 0.003922802 0.0036354607 0.0032435115 0.0026208288 0.0033292505 0.0032951536 0.0030217161 0.0032564222 0.004010858 0.004615003 0.0040525687 0.002890625 0.003707296 0.0037460276 0.0029015492 0.004160487 0.0063430215 0.0039036018 0.0036576404 0.0031514831 0.0030680615 0.006899166 0.002890625 0.0033007814 0.0041611493 0.003212394 0.0024794757 0.003159097 0.0034010857 0.003533501 0.0025552835 0.002917439 0.00336732 0.0033454713 0.002846597 0.0034742453 0.0039476296 0.003985368 0.00331634 0.0029985434 0.0035623014 0.004747749 0.0034176377 0.0032587394 0.004603085 0.004365731 0.0038168698 0.0031733315 0.004192267 0.006111295 0.0040764036 0.0031134137 0.0046259267 0.0046325475 0.00396683 0.0033736096 0.0032746291 0.005433991 0.0041048727 0.0037301376 0.0038258077 0.00430813 0.003515956 0.00403701 0.0035566736 0.00608746 0.0042313295 0.0035467425 0.004099245 0.007129899 0.0046500927 0.006370167 0.027276218 0.00067720254 0.0 0.0 0.0 0.0 3.311504e-07 0.0 0.0 3.311504e-07 0.0 0.0 0.0 0.0 3.311504e-07 0.0 0.0 0.00032866676 8.2787597e-07 2.1524775e-06 3.8082294e-06 4.967256e-07 0.0 8.2787597e-07 1.655752e-07 9.934512e-07 3.311504e-07 4.967256e-07 0.0 0.0 1.655752e-07 1.655752e-07 0.0 0.00094593107 1.4405042e-05 8.9410605e-06 1.1755839e-05 7.782034e-06 2.9803534e-06 4.4705303e-06 2.8147783e-06 2.483628e-06 1.1590264e-06 9.934512e-07 1.9869024e-06 1.9869024e-06 1.9869024e-06 9.934512e-07 6.6230077e-06 0.00029687633 8.9410605e-06 4.13938e-06 2.483628e-06 3.1459288e-06 1.8213271e-06 1.1590264e-06 1.1590264e-06 1.3246016e-06 1.1590264e-06 1.3246016e-06 9.934512e-07 1.4901767e-06 1.9869024e-06 8.2787597e-07 1.0265662e-05 0.0005758705 1.1424689e-05 1.0100087e-05 1.0100087e-05 5.960707e-06 6.126282e-06 5.132831e-06 5.795132e-06 4.8016805e-06 4.304955e-06 5.132831e-06 4.304955e-06 2.8147783e-06 4.304955e-06 4.967256e-06 1.7054244e-05 0.0008118152 2.6657606e-05 2.169035e-05 1.5729644e-05 3.857902e-05 1.241814e-05 1.5895219e-05 1.3908317e-05 4.967256e-06 3.4770792e-06 4.8016805e-06 1.1093538e-05 3.4770792e-06 2.9803534e-06 5.795132e-06 2.4008403e-05 0.00063249725 2.483628e-06 5.8448044e-05 2.483628e-06 5.2818486e-05 1.8213271e-06 0.0001435537 8.5602376e-05 1.6557519e-06 1.6557519e-06 1.1590264e-06 2.1524775e-06 3.1459288e-06 9.4377865e-06 1.6557519e-06 1.6723096e-05 0.0052760537 0.00013163227 0.00023081183 6.838256e-05 0.0006614729 0.0001081206 0.00039754604 0.00020912147 6.47399e-05 0.00010232547 2.549858e-05 3.7419995e-05 4.0400348e-05 9.967627e-05 4.238725e-05 0.0006427629 0.0013790758 2.963796e-05 0.00012981096 6.838256e-05 0.00028214013 8.692698e-05 0.00056709506 0.00034207836 2.102805e-05 6.126282e-06 1.1921414e-05 2.483628e-05 6.4574324e-06 2.483628e-05 1.3742741e-05 5.7785743e-05 0.0028816706 9.570246e-05 0.00025349561 0.00023544792 0.0006897863 0.00027253677 0.0011462771 0.00076396397 0.00024372668 7.732362e-05 4.5367604e-05 6.970716e-05 7.649574e-05 0.000115571485 0.00010365007 0.00038943285 0.0030767182 0.00021508218 0.00042503153 0.00028346473 0.00082158414 0.0004212233 0.0010672976 0.0008429433 0.002915448 0.00061858894 0.00017236378 0.00021177068 0.00032220932 0.000169549 0.00045135798 0.004940267 0.0039539356 0.00049523544 0.0005973953 0.0028765379 0.00094692456 0.0007162783 0.00089394045 0.0008250612 0.005061468 0.0012898308 0.00045003337 0.00055848516 0.000941295 0.00060882 0.0013166539 0.007630533 0.004122988 0.00047122702 0.00040516251 0.0006267021 0.001785894 0.0011689608 0.0003491981 0.0004973879 0.004579313 0.00067471893 0.00032800445 0.00046609418 0.0013436427 0.00046510072 0.0011507476 0.00496262 0.01955443 0.0025854567 0.0018006302 0.0022357618 0.009684659 0.00666258 0.0023937207 0.0031628173 0.017397813 0.0012148252 0.0011699543 0.0020539602 0.00864733 0.0020658816 0.006538068 0.012526923 0.005934215 0.0011995923 0.00089327816 0.0012669814 0.002192381 0.0022779836 0.0010073595 0.0017435068 0.003930755 0.00040516251 0.00046212037 0.0006897863 0.0020734982 0.00088119117 0.002093864 0.0034671447 0.05188994 0.045850586 0.043164957 0.051014546 0.04354197 0.04436008 0.04551364 0.052741494 0.04614415 0.047864147 0.04496277 0.047551207 0.04999808 0.04766231 0.05304102 0.061233517 10744.0 7.3696017 79179.0 0.015168163 0.0057085846 0.005001326 0.0099142445 0.013564203 0.005658066 0.0057338434 0.0073378044 0.006567398 0.0066810646 0.007640915 0.007186249 0.0075903963 0.0062769167 0.00910595 0.005140252 0.0112150945 0.01039417 0.014082016 0.011417169 0.010166837 0.008588136 0.010608873 0.010368911 0.011177206 0.010457318 0.010116319 0.010646762 0.011429798 0.011960242 0.009573245 0.016153272 0.024425669 0.008550247 0.005367585 0.007842989 0.0068705087 0.007691433 0.010242615 0.009699541 0.0068831383 0.0098005785 0.005557029 0.006239028 0.0060874727 0.0065800278 0.007880878 0.008487099 0.009775319 0.0060369545 0.009118579 0.008967024 0.008727062 0.012831685 0.011227724 0.010116319 0.007944025 0.007085212 0.006340065 0.008082951 0.00813347 0.0066431756 0.0064537316 0.013791536 0.0072872858 0.016961569 0.011240354 0.015029238 0.014385127 0.029325958 0.010356281 0.009156468 0.008322914 0.01917175 0.007123101 0.008512358 0.015168163 0.012768537 0.017921418 0.022594376 0.015446015 0.0076156557 0.02407204 0.021672413 0.025953852 0.012111797 0.008752321 0.009623764 0.010015282 0.0099900225 0.006857879 0.0076156557 0.007274656 0.008600765 0.008335544 0.008626024 6.457188 0.0 0.0 0.0 32.0 3020800.0 3039232.0 1.0 0.0 114.0 0.0 1.0 0.0 1.0 0.0 1539880000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 539136.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -13312.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -539136.0 0.0 2361856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6217294 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.148058 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.721547 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.22834 0.0 7.956355 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -16896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88434.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -18132.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -539117.0 0.0 2361640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 80.0 630536.0 2361640.0 655360.0 0.0 0.0 0.0 0.0 16896.0 3018752.0 28.0 605216.0 0.0 0.0 0.0 0.0 24.0 605408.0 64.0 605248.0 0.0 0.0 468.0 544768.0 0.0 0.0 0.0 0.0


Input: 0.14211468 0.008610831 0.004176414 0.0034160512 0.006226789 0.003939498 0.0020243267 0.0019561048 0.007865353 0.0015070814 0.0016981025 0.0015021198 0.0045634178 0.0013693974 0.0012279922 0.0038811998 0.0061498843 0.0015021198 0.0011845784 0.00089432567 0.0024659077 0.001978432 0.00076656486 0.0008248635 0.002303416 0.0007541609 0.00082982506 0.00071074703 0.0016149959 0.000604073 0.0005941498 0.00056562066 0.0038836806 0.00058670744 0.0006524484 0.00054329354 0.004157808 0.0013185412 0.0004651486 0.0005618995 0.0011845784 0.0006536888 0.0005842266 0.00094394153 0.0011064335 0.002344349 0.0006772563 0.0005184856 0.005857151 0.0028057762 0.003490475 0.010233269 0.0036293995 0.0020367305 0.0030054802 0.0017253911 0.0040560956 0.0020739425 0.00071570865 0.0014847543 0.0016695734 0.0009774322 0.00046638897 0.0005296492 0.0117949275 0.003935777 0.004910729 0.008844025 0.0038762381 0.03262242 0.0032746461 0.002713987 0.003390003 0.0035549756 0.0021930204 0.0023592336 0.0027152274 0.004395964 0.0011622512 0.0015343701 0.009077219 0.0021483663 0.002060298 0.009775563 0.0032113858 0.013865149 0.0032287515 0.0020999908 0.0019300565 0.006526965 0.0027474777 0.0032659632 0.0015691012 0.0046465243 0.0023828011 0.0036120338 0.0057765255 0.0044827918 0.0018692771 0.0033205408 0.0093463855 0.0061970195 0.004054855 0.0016199575 0.007938536 0.004304175 0.0037844488 0.0014165324 0.0035797835 0.0018060169 0.0045249653 0.004129279 0.0032312323 0.0017861705 0.005002518 0.003934537 0.010280404 0.0056251967 0.0018370268 0.0011870592 0.0029409796 0.0012664446 0.00053213 0.000591669 0.0016571693 0.0025242064 0.0010655003 0.0008769601 0.005256799 0.0011610108 0.0010915487 0.009085902 0.0031295198 0.0032349534 0.0010369712 0.00062019815 0.0026693328 0.015227105 0.0022389153 0.051858485 0.0011994631 0.011028362 0.0008595946 0.00068221794 0.0026631306 0.00044530226 0.000729353 0.0006474868 0.0011262798 0.00093897997 0.0015157642 0.0005693419 0.001177136 0.0005904286 0.00050112006 0.00071446825 0.0009588263 0.00047755256 0.00046638897 0.00042049433 0.0008992873 0.0033379062 0.00046762938 0.002557697 0.0014276961 0.00081990194 0.00056562066 0.00045398503 0.0010493752 0.0004589466 0.00051104324 0.0004887161 0.0008496714 0.00045150422 0.00074423774 0.0006598908 0.0013284644 0.0006871795 0.0017353144 0.000538332 0.0008806813 0.00067229476 0.00071446825 0.001583986 0.0031592892 0.0025415719 0.0046638898 0.0008261039 0.0010034805 0.00048127375 0.0008558734 0.000716949 0.012030603 0.0011523281 0.0022934927 0.010378395 0.004369916 0.0010617792 0.0035673797 0.003377599 0.0018754791 0.0017700454 0.000986115 0.0013061372 0.0016869389 0.0008955661 0.0009947978 0.00094518194 0.0028826809 0.0011535685 0.0029831529 0.0013569935 0.0018184208 0.0007702861 0.0016087939 0.0008782005 0.003377599 0.0006561696 0.0010890679 0.0017923726 0.0015008794 0.0007206702 0.00056438026 0.0008447098 0.0024460615 0.0006598908 0.0008806813 0.0009935574 0.0024398593 0.002438619 0.0005519763 0.0006958623 0.027688125 0.0060432106 0.0010965102 0.00591669 0.006551773 0.0010456541 0.00068221794 0.0007566417 0.0072637605 0.000979913 0.001822142 0.0009216144 0.009164047 0.0021768953 0.0041081924 0.0026011108 0.010096826 0.0030625383 0.0030823846 0.0036231973 0.01493189 0.0040077204 0.004314098 0.06913348 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.001780425 0.0 0.0 0.0005187212 0.00024538307 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.011896419 0.0 0.0 0.0050095418 0.0034502724 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0017176815 0.0 0.0 0.0012517642 0.0008473481 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055226724 3.7273378e-06 1.8015466e-05 6.709208e-05 0.00014909351 7.5789205e-05 6.2122294e-06 7.4546756e-06 1.5530573e-05 0.0 0.0 1.8636689e-06 8.075898e-06 3.1061147e-06 4.9697837e-06 0.00035906688 0.006107243 0.00020624603 0.0002137007 0.000551646 0.0019139879 0.0004889025 0.0024513458 0.0010666398 0.00019506401 0.00010063812 9.256222e-05 7.5167976e-05 0.00067278446 0.00038080968 0.00040131004 0.0028936565 0.013345733 0.00064234453 0.000947365 0.0020848243 0.0041361023 0.0036148964 0.0069781975 0.003214829 0.00045473521 0.00023606472 0.0003112327 0.00033111183 0.0020860666 0.0011063981 0.0011237924 0.009004626 0.02080662 0.0013051894 0.0012356124 0.002081718 0.0073291888 0.0025656507 0.006702996 0.0032620418 0.002396057 0.0009765625 0.0009784262 0.0013381143 0.004065283 0.0026544856 0.0026787135 0.009597895 0.020260565 0.0015648607 0.0012536279 0.0022718124 0.009445074 0.004051616 0.0058966484 0.0034142414 0.005822723 0.0014163883 0.0017822887 0.002309707 0.003870219 0.0017760765 0.004052859 0.009691699 0.07419204 0.009840793 0.0072981273 0.010105434 0.042163644 0.030677233 0.021355782 0.013986214 0.05159878 0.0053040017 0.0060699694 0.009164902 0.01682831 0.007090639 0.027507752 0.06121842 0.060404614 0.010154511 0.009140675 0.011700113 0.028188612 0.03068096 0.017714173 0.014645953 0.04994198 0.0058997544 0.0064986134 0.009172978 0.021150779 0.0109645855 0.02514462 0.04864797 0.00023420106 4.7834168e-05 8.6349995e-05 5.2182728e-05 9.069855e-05 9.939567e-05 4.348561e-05 6.5849636e-05 0.00013480538 2.919748e-05 3.354604e-05 2.919748e-05 8.4486324e-05 6.0258626e-05 7.330431e-05 0.00010747157 5347.0 16.106602 86122.0 0.0054341517 0.00012772578 0.0005573489 9.289148e-05 0.0033440932 0.0005689603 0.00012772578 0.00017417152 0.00039478877 0.0004064002 0.0007315204 0.00058057177 0.0004992917 0.014224008 0.0011263092 0.0004644574 0.026450848 0.01764938 0.0279255 0.013039641 0.023687327 0.014990362 0.024256287 0.011948166 0.02621862 0.014827803 0.00082441187 0.00051090313 0.0009521377 0.000534126 0.00011611435 0.00013933722 0.0013585379 0.008511182 0.0073848725 0.014479459 0.0071178097 0.01609345 0.0047142426 0.003065419 0.004911637 0.01755649 0.0024500128 0.0039827223 0.006804301 0.006653352 0.004423957 0.009196256 0.0128770815 0.0026125729 0.0059682773 0.020424513 0.013039641 0.006246952 0.0058869976 0.0034834305 0.002775133 0.00534126 0.001521098 0.0029841387 0.0011611435 0.0027867444 0.0029028587 0.022143006 0.00025545157 0.031014143 0.013829219 0.027066255 0.026311511 0.052901696 0.012157172 0.0105896285 0.019054364 0.03488075 0.007965445 0.0068971924 0.024267899 0.012203618 0.03821323 0.034520797 0.018961472 0.0033324817 0.03908409 0.028854417 0.04141799 0.011344372 0.0108218575 0.006351455 0.014502682 0.0066649634 0.0010450291 0.00029028588 0.00054573745 0.00025545157 0.00030189732 0.00031350873 5.7714767 0.0 2.0 14.0 4.0 806194.0 3952640.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 25.0 4.0 0.0 4.0 0.0 1267200.0 1024.0 4096.0 8.0 2.0 0.0 1.0 4.0 0.0 0.0 0.0 0.0 0.0 -84992.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -859648.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1267200.0 0.0 0.0 0.0 0.0 0.0 0.0 -12800.0 1672192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5827403 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -48.0 0.0 0.0 -84528.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 0.0 31073.0 0.0 0.0 0.0 0.0 0.0 -859536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1266868.0 0.0 0.0 0.0 0.0 0.0 0.0 -12546.0 1672153.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 12546.0 2166784.0 1672153.0 2277376.0 0.0 0.0 8384.0 3898368.0 84528.0 2191360.0 0.0 0.0 0.0 0.0 0.0 0.0 24.0 2187264.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.014903249 0.0041157906 0.0040744 0.0036915357 0.004014901 0.00397351 0.003937293 0.003481995 0.0042089196 0.0036604926 0.0044805463 0.0038570985 0.0038364031 0.0038570985 0.0038519246 0.0031741515 0.0041623553 0.0043123965 0.0038493378 0.0037199918 0.0045659146 0.0049617137 0.0041442467 0.0036423842 0.0041106166 0.0038441638 0.004038183 0.003810534 0.004268419 0.003681188 0.0037251655 0.0036216888 0.004195985 0.0038389901 0.0038648592 0.0042192675 0.0034949295 0.003945054 0.0036863617 0.0032698675 0.004193398 0.004014901 0.0046693916 0.005041908 0.0041804635 0.004333092 0.0042787665 0.0035880588 0.004195985 0.0043408526 0.0040174876 0.0035104512 0.004457264 0.0042839404 0.0036604926 0.0035984064 0.0040511177 0.0039554015 0.0035285596 0.0035130382 0.0040459437 0.0034354303 0.003549255 0.0032103683 0.003577711 0.0037406872 0.0042761797 0.004136486 0.003934706 0.0046176533 0.0043744827 0.0039269454 0.0037898386 0.003450952 0.004126138 0.003965749 0.003976097 0.0038984893 0.003712231 0.0034380173 0.004229615 0.0045141764 0.0042813537 0.0041054427 0.004483133 0.0047961506 0.0047651078 0.0044624377 0.0044106995 0.0039942055 0.0042839404 0.0039916183 0.004224441 0.0042140936 0.0037665563 0.0035363203 0.0036579056 0.0042373757 0.004423634 0.0043796566 0.0037872517 0.0057015726 0.0038907286 0.0035363203 0.004294288 0.0044339816 0.0040588784 0.004061465 0.004436569 0.004172703 0.0039967922 0.0039269454 0.0039321193 0.004061465 0.0045426325 0.0043434394 0.0041520074 0.004428808 0.0036579056 0.003549255 0.0039088367 0.0037898386 0.003125 0.0034690604 0.003546668 0.0029542632 0.0032336507 0.0030137624 0.003575124 0.0035233859 0.00390625 0.0034069743 0.0037510348 0.0042787665 0.004097682 0.003551842 0.0041778767 0.0037536216 0.0053782077 0.0037924254 0.0040459437 0.004198572 0.004097682 0.0037872517 0.0034587127 0.0038674462 0.0038596855 0.0033888659 0.003707057 0.0046409355 0.0042089196 0.003880381 0.004056291 0.0035363203 0.004400352 0.0033836921 0.003551842 0.0033836921 0.0033293667 0.003062914 0.0038001863 0.0041287253 0.004534872 0.004325331 0.003350062 0.003976097 0.003976097 0.0038182947 0.0046383487 0.0038519246 0.004483133 0.0042373757 0.0042373757 0.0041804635 0.0040304223 0.0035026905 0.0036682533 0.004304636 0.004291701 0.0036320365 0.003970923 0.0038001863 0.004265832 0.0036113411 0.0042554843 0.003779491 0.004164942 0.00380536 0.003676014 0.003223303 0.0032362377 0.0031431084 0.003448365 0.0038855546 0.003745861 0.0037639693 0.0041752895 0.0044029388 0.00380536 0.0038131208 0.003546668 0.003963162 0.004113204 0.0042140936 0.0036630796 0.0041287253 0.003194847 0.0031534561 0.0034638867 0.004470199 0.0035984064 0.0035621896 0.004056291 0.0041106166 0.003709644 0.0035363203 0.0033940398 0.0039916183 0.003678601 0.0035932327 0.003807947 0.0037381002 0.0033888659 0.002768005 0.0034380173 0.0038648592 0.004589197 0.0035026905 0.0038131208 0.0036863617 0.0041830507 0.0030525662 0.0035621896 0.0032646938 0.004154594 0.0030680879 0.0035673634 0.0034147352 0.0039890315 0.0029723716 0.0032310637 0.0038855546 0.0036604926 0.0034328436 0.0031560431 0.0029801324 0.0029542632 0.0031793253 0.00309137 0.0036165148 0.00302411 0.0030680879 0.003425083 0.0028844164 0.003060327 0.0029490895 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0018829996 0.00011168135 0.00018959858 5.1944815e-05 4.545171e-05 3.246551e-05 8.181308e-05 9.609791e-05 2.5972407e-05 6.493102e-06 1.16875835e-05 2.0777925e-05 2.8569648e-05 2.4673787e-05 1.8180684e-05 3.116689e-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 0.0021167512 0.00014804272 0.00023115442 6.36324e-05 0.0002493351 0.00015453582 0.0012596617 0.0007726791 6.36324e-05 3.376413e-05 3.246551e-05 3.376413e-05 3.895861e-05 5.9736536e-05 2.7271028e-05 3.376413e-05 0.002702429 0.00016232755 0.00040387092 0.00028569647 0.0003688082 0.00028829373 0.0021284388 0.0012116128 7.531998e-05 4.8048954e-05 5.7139296e-05 6.233378e-05 3.895861e-05 6.36324e-05 4.285447e-05 3.895861e-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 0.0005311357 0.00011168135 0.00020258478 0.0002986827 0.00011687583 0.00014154962 0.0005623026 0.00033374544 3.895861e-05 4.285447e-05 4.025723e-05 4.415309e-05 5.1944815e-05 5.0646195e-05 4.6750334e-05 4.545171e-05 0.0007700819 0.00012986203 0.00015193858 0.00012207031 0.0001597303 0.00014284824 0.00024414062 0.00010778549 0.00014284824 0.00011038273 0.00012207031 0.00011817445 0.00010259101 7.531998e-05 7.531998e-05 8.441032e-05 0.06260389 0.063997306 0.06366746 0.060667645 0.06219742 0.06754644 0.06258701 0.057175655 0.06322073 0.059710562 0.06506218 0.060781926 0.060991004 0.058821008 0.058136635 0.051556528 2064.0 6.825097 14087.0 0.012990701 0.0075246682 0.009157379 0.009725278 0.006246894 0.008234543 0.0067438064 0.006246894 0.009441329 0.008731455 0.009228366 0.010222191 0.010932065 0.008234543 0.014978349 0.007666643 0.012067864 0.009086392 0.009228366 0.007950593 0.011428977 0.010222191 0.007808618 0.010577128 0.007311706 0.008944416 0.008518492 0.008447505 0.00802158 0.008731455 0.008092567 0.00553702 0.0066728187 0.010719103 0.010009228 0.011287002 0.010861077 0.0100802155 0.010151203 0.008731455 0.008163555 0.008092567 0.008802442 0.009441329 0.00858948 0.010009228 0.008802442 0.006530844 0.009867254 0.008873429 0.0100802155 0.012351814 0.011287002 0.008731455 0.009228366 0.00858948 0.008660467 0.00830553 0.009654291 0.009654291 0.010648116 0.0100802155 0.0061049196 0.0075956555 0.008518492 0.016469086 0.013487613 0.013700575 0.010932065 0.034002982 0.008092567 0.009796266 0.009796266 0.020089444 0.008234543 0.0100802155 0.017533896 0.015759211 0.016398098 0.020089444 0.01079009 0.009015405 0.02186413 0.021083267 0.024277702 0.017249947 0.008944416 0.007808618 0.009228366 0.011499965 0.007311706 0.0061049196 0.0066728187 0.0066018314 0.0075956555 0.006033932 6.4846077 1.0 0.0 0.0 6.0 386560.0 409600.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 3451705000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 384000.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -384000.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.98458 0.0 4.248559 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 -383920.0 0.0 1420.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 392023.0 1420.0 393216.0 0.0 0.0 0.0 0.0 12.0 401408.0 56.0 391880.0 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