Input: 0.16726862 0.013640694 0.0070611266 0.006880542 0.011795589 0.0049412185 0.003966322 0.0032492175 0.011791662 0.00349654 0.002000827 0.0019903583 0.0082925055 0.0027885954 0.0017129382 0.0061411913 0.006737906 0.0014577641 0.0010939774 0.0010808915 0.005340337 0.0031602336 0.0015624509 0.0009212441 0.0040081968 0.0019210033 0.00107304 0.0010534112 0.0035174775 0.0010534112 0.00091731834 0.0009487244 0.01179428 0.00086366636 0.0008034714 0.0012012813 0.0121384375 0.00227563 0.0007982371 0.0009107754 0.0027715839 0.0011842698 0.0007825341 0.0028828136 0.0018594998 0.0010076107 0.0011960471 0.00078384264 0.002704846 0.0012732536 0.0016736807 0.0050576823 0.0019772726 0.0008872209 0.0011227663 0.000896381 0.0023528365 0.0016396574 0.0013347571 0.004296086 0.0017495786 0.0013465344 0.0006412068 0.00078907696 0.0034036306 0.0027323263 0.001502256 0.0022232865 0.005407075 0.014114401 0.0051270374 0.0041298955 0.009246464 0.0034729855 0.0050249677 0.0014158894 0.003178554 0.011917287 0.0032086512 0.0013164369 0.012411932 0.003317264 0.0026525026 0.005353423 0.0030830272 0.0031811711 0.0066240593 0.0048470004 0.0014970216 0.003518786 0.00059540634 0.002184029 0.0022285208 0.0026786742 0.00414429 0.0028448645 0.0009958334 0.0042463597 0.0010822001 0.0026040848 0.0046258494 0.009811773 0.0032112685 0.0014970216 0.006535075 0.004602295 0.005422778 0.0012091328 0.004084095 0.0023096532 0.004714833 0.0050393622 0.003120976 0.00073019066 0.0059449035 0.004591826 0.0114619 0.010951551 0.002256001 0.0018058479 0.0016684463 0.0017600473 0.0008100143 0.0005548402 0.0028003727 0.002727092 0.0025229526 0.002215435 0.0032374403 0.0017312585 0.00079431135 0.012226113 0.0030437696 0.005465961 0.0020492447 0.0006621442 0.0027179318 0.013871005 0.002508558 0.03692043 0.00133214 0.017052175 0.0017364927 0.00059540634 0.0055052186 0.000552223 0.00044099326 0.0012444647 0.0011319263 0.00063073816 0.00086104916 0.0005260513 0.0011214577 0.0008767522 0.00047763367 0.00051689125 0.00096050167 0.00046062205 0.00080478 0.00044361045 0.0011070633 0.0006241952 0.00048810235 0.00048548516 0.0009866734 0.0009068497 0.00054829725 0.0004737079 0.0010599542 0.00039126704 0.00048941094 0.00065821846 0.0008793694 0.00046716497 0.00044361045 0.0010939774 0.0013242884 0.0005299771 0.00043445034 0.00052866846 0.0015598338 0.0005653089 0.0012588592 0.0011018289 0.0032165027 0.0012575506 0.00054829725 0.0005993321 0.0012326874 0.0006425154 0.0012850309 0.0011005203 0.0066541564 0.0044949907 0.0028566418 0.0044164755 0.004888875 0.00072757347 0.0040644663 0.0040029627 0.0026511939 0.00320996 0.0010926687 0.0012405389 0.0031916397 0.00078122545 0.0024954723 0.0020165301 0.0018843629 0.0011777268 0.0013844833 0.0013491515 0.001486553 0.00063728105 0.0009369471 0.0010311652 0.0034088648 0.0027257833 0.0009186269 0.0018189336 0.0023253562 0.0010939774 0.0013975692 0.0012169844 0.003143222 0.0012693278 0.0012353046 0.00083618605 0.0030437696 0.0015454394 0.00077468256 0.0009513416 0.021531465 0.005583734 0.0011437036 0.0038079834 0.005375669 0.0012052071 0.0014145807 0.0011162233 0.0059540635 0.0023868596 0.0012614763 0.0013857919 0.0030058206 0.00080478 0.002000827 0.001978581 0.004489756 0.0017050868 0.0032544518 0.0016291888 0.008151178 0.0023240475 0.0042241137 0.054739434 0.0040268456 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0024381292 3.2770554e-06 5.8987e-06 9.175755e-06 1.900692e-05 2.8838087e-05 9.241296e-05 5.1777475e-05 9.175755e-06 1.3108222e-06 6.554111e-07 6.554111e-07 3.9324664e-06 1.9662332e-06 1.9662332e-06 1.6385276e-05 0.001175152 1.0486578e-05 7.864933e-06 7.2095218e-06 4.5878774e-06 5.8987e-06 1.31082215e-05 4.5878774e-06 4.850042e-05 1.0486578e-05 1.50744545e-05 5.243289e-06 8.520344e-06 6.5541108e-06 1.0486578e-05 8.520344e-06 0.009257026 0.00014615667 0.00010814283 9.569002e-05 0.00012977139 0.00035457738 0.00013042681 9.700084e-05 7.930474e-05 5.0466653e-05 4.260172e-05 5.8986996e-05 5.9642407e-05 3.801384e-05 4.5878776e-05 4.4567954e-05 0.0011076448 9.831166e-06 1.37636325e-05 1.1141989e-05 1.835151e-05 1.37636325e-05 4.5878776e-05 3.9324663e-05 2.1628566e-05 4.5878774e-06 8.520344e-06 5.243289e-06 9.831166e-06 8.520344e-06 1.2452811e-05 1.17974e-05 0.0018292523 0.00056103186 2.8182676e-05 3.735843e-05 2.5561032e-05 1.900692e-05 3.0148909e-05 2.6216443e-05 1.7696098e-05 1.835151e-05 1.50744545e-05 1.5729865e-05 1.5729865e-05 1.44190435e-05 1.50744545e-05 1.5729865e-05 0.015505715 0.00048434877 0.0017302852 0.0003191852 0.0017584679 0.0004738622 0.0033589818 0.0017519138 0.00032508388 0.00038734794 0.00012518352 0.00014943372 0.00024643456 0.00017892722 0.0022585467 0.0031610476 0.032637507 0.0014746749 0.003493341 0.0005262951 0.0040458525 0.0009700084 0.008598338 0.0046606283 0.0005616873 0.0009280621 0.00038210466 0.0004083211 0.0006350933 0.00076617557 0.0011443477 0.007223941 0.011233746 0.00038407088 0.0030260328 0.00082975044 0.0024328858 0.0017165216 0.011514261 0.006529205 0.0004686189 0.0005623427 0.000353922 0.00032705013 0.00035719902 0.00020645448 0.000353922 0.0013147546 0.0101208575 0.00041094274 0.0046409657 0.0014858169 0.002600671 0.002002281 0.010931602 0.006763187 0.0003604761 0.00054661284 0.0003722735 0.0002654415 0.0004437133 0.00031721895 0.0017401164 0.002635408 0.011808542 0.0011220637 0.002324743 0.0010047451 0.0016824403 0.00097263005 0.0039114933 0.0028693897 0.0008959469 0.0008369599 0.0008474465 0.0010263737 0.0009975357 0.0011292733 0.0018279415 0.0056686504 0.007233117 0.00180959 0.0018403943 0.0010342387 0.002082241 0.0011541789 0.0013226195 0.0022107016 0.0027638685 0.0006468907 0.0008808725 0.0013993026 0.0023889733 0.0014183095 0.0029008493 0.007840027 0.09262925 0.016584521 0.013047269 0.01346542 0.037173606 0.030658819 0.01207726 0.01760041 0.060200818 0.006637348 0.004794332 0.008404992 0.026040137 0.010482645 0.02734637 0.044333316 0.05580039 0.012811976 0.012965998 0.010877858 0.025480416 0.022812894 0.009960282 0.013334993 0.04030647 0.00590722 0.0032390414 0.0050951657 0.01760041 0.01022048 0.0163761 0.027143193 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3717.0 17.779661 66087.0 0.07990982 0.00084736786 0.0012105255 0.0025723667 0.0044184183 0.014738148 0.00077171 0.002980919 0.0071874955 0.006627627 0.0005296049 0.00071118376 0.0024059194 0.0038131555 0.00617368 0.0025421036 0.004781576 0.004115787 0.0030414453 0.0030263138 0.0018006567 0.0009684204 0.00090789417 0.0004388155 0.0014526306 0.0018157883 0.0079440735 0.00154342 0.0009986835 0.004569734 0.00045394708 0.0011046046 0.0021032882 0.008171047 0.002284867 0.009124336 0.008851968 0.006778943 0.0045546023 0.004357892 0.0037828921 0.0075657843 0.0023302615 0.0017249988 0.0046756547 0.0028598665 0.002421051 0.004176313 0.009880914 0.0041611814 0.012301966 0.014844069 0.0071874955 0.0037828921 0.0049934178 0.006990785 0.0014374991 0.0015131569 0.00080197316 0.0012256571 0.0042822342 0.0010440783 0.0018309199 0.0035710502 0.0005749996 0.041521024 0.0071421005 0.02363551 0.030626295 0.08809599 0.010682887 0.011711834 0.012105255 0.04474405 0.0033743398 0.008352626 0.028523007 0.019262487 0.045788128 0.04925326 0.019459197 0.0012105255 0.05421641 0.04041642 0.060541406 0.023696037 0.008080258 0.01137894 0.005174997 0.01089473 0.003722366 0.00040855235 0.0013164465 0.00036315765 0.0006809206 0.0010289467 5.4278774 1.0 20.0 1.0 2.0 764184.0 860160.0 0.0 0.0 545.0 0.0 1.0 1.0 0.0 0.0 1404341800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 532480.0 4096.0 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 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -77824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -532480.0 0.0 45056.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.2371807 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.076816 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.705036 0.0 5.3977804 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 96508.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -108448.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -532194.0 0.0 114688.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 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 -1.0 -2.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 3.0 -1.0 0.0 2.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -2.0 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 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 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 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 2.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 1.0 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 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 -1.0 1.0 0.0 -1.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.0 0.0 0.0 -2.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 1.0 1.0 0.0 -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 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 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 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 1.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -3.0 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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 2.0 0.0 -1.0 0.0 -1.0 0.0 2.0 1.0 0.0 0.0 2.0 0.0 0.0 2.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 -3.0 0.0 -1.0 0.0 -3.0 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 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 2.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 1.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 -2.0 0.0 -1.0 -1.0 -3.0 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 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 1.0 2.0 -1.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 -2.0 2.0 -1.0 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 1.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 0.0 1.0 2.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 -1.0 0.0 0.0 -1.0 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 -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 -2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -2.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 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 -1.0 1.0 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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 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 2.0 0.0 -2.0 0.0 0.0 0.0 0.0 -1.0 -3.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 360.0 621508.0 42464.0 745472.0 0.0 0.0 6424.0 757760.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2264.0 536576.0 0.0 0.0 0.0 0.0


Input: 0.1180517 0.03157362 0.04734622 0.015627947 0.009051293 0.0082233995 0.0031875845 0.0029680182 0.006553405 0.0036990445 0.0039199023 0.0034497723 0.0058792075 0.009012546 0.005809463 0.004202755 0.013641519 0.0010138792 0.001460761 0.0009480093 0.004378408 0.0072534336 0.0037532903 0.03270632 0.004461068 0.00093767676 0.0017746114 0.0010048382 0.002382939 0.002629628 0.002293821 0.0018611463 0.007103612 0.0028931075 0.006636065 0.0013419369 0.0020367992 0.0030674688 0.0031333386 0.0032353725 0.002052298 0.0074019637 0.0024384763 0.0024462256 0.002513387 0.0014878839 0.0021724137 0.0017991512 0.0013458115 0.0019709293 0.0031850012 0.0028621098 0.0026309197 0.0047297142 0.003049387 0.0016674114 0.0033774446 0.0021737053 0.0026102546 0.0036654638 0.0014581778 0.0021117101 0.0008046455 0.0011365779 0.0026954978 0.004056808 0.002159498 0.0027859074 0.0022615318 0.004565685 0.0034110253 0.0009712575 0.003305117 0.004308664 0.0021633727 0.0018366065 0.0033606542 0.004359035 0.0033025339 0.0021879126 0.011139755 0.0022654065 0.003465271 0.0044752755 0.0015860428 0.0068259253 0.0070661567 0.0041330107 0.008867891 0.0048524127 0.0020225921 0.0031643363 0.0033606542 0.0034639796 0.004716798 0.0021749968 0.0033632375 0.015351552 0.0013122308 0.0033025339 0.0047193817 0.00877619 0.0026257534 0.0020187174 0.0060019065 0.005078437 0.0035673047 0.0021943704 0.004362909 0.003150129 0.0039689816 0.005583439 0.002769117 0.0038191602 0.0046690106 0.0048795356 0.009226946 0.009124912 0.0034071507 0.002627045 0.0017358644 0.0028840664 0.0024694738 0.002216327 0.0020471318 0.0016079994 0.0012360285 0.0026128376 0.002451392 0.0011637008 0.0020277584 0.0047852513 0.0021582064 0.010156874 0.0015434212 0.0005747468 0.001050043 0.004138177 0.0006225347 0.009111997 0.0009854647 0.007112653 0.0009299274 0.0006690311 0.0020587558 0.0007710648 0.0022021197 0.00053599983 0.0010681249 0.0009480093 0.0007026118 0.00050758536 0.00070906966 0.00082401896 0.0004843372 0.00040296852 0.002463016 0.0010035466 0.0057758824 0.00071165274 0.00068582146 0.0016415801 0.0006315757 0.0010048382 0.002141416 0.0027820328 0.00072069373 0.0007026118 0.00090797077 0.0011159129 0.0020432572 0.0032340807 0.0023906883 0.0016325392 0.00748979 0.0014078068 0.0028543605 0.0018107753 0.00084855873 0.0013509778 0.0014581778 0.0029977243 0.0023222354 0.0015782934 0.0016131657 0.0016131657 0.00060703594 0.001412973 0.002463016 0.001844356 0.001490467 0.0012024478 0.0056958054 0.0009105539 0.001365185 0.0022641148 0.0014349297 0.00037455407 0.001285108 0.00196318 0.009170117 0.0012954405 0.00047142152 0.00044817335 0.00691246 0.00043009143 0.00091959484 0.00088084786 0.0010435851 0.0021814546 0.0014646356 0.00060186966 0.0013251465 0.0005527902 0.0010849152 0.0010577925 0.0013483947 0.0008640575 0.0009105539 0.0012360285 0.0011520768 0.0010009635 0.00074265036 0.0006754889 0.0015821682 0.00078656356 0.00075814914 0.0020096763 0.0013742261 0.0005566649 0.0006832383 0.0009635081 0.008590205 0.0014258886 0.0008782648 0.0021491656 0.0025844232 0.0008123949 0.00079947925 0.00091830327 0.0028569435 0.0009402599 0.000764607 0.0011249539 0.0091507435 0.0015912091 0.0018701873 0.0019941777 0.003423941 0.00198772 0.0012037393 0.0028840664 0.003218582 0.0036602975 0.0028362786 0.046288427 0.025100242 0.006630924 0.002679403 0.0052695572 5.173841e-06 0.0039954986 0.0026483599 1.0347682e-05 0.0 4.527111e-05 0.0012973406 0.0 0.0 0.0 0.0 0.0 0.0037988927 0.002619257 0.00024705092 0.0012501293 0.000122232 0.0037549152 1.7461714e-05 6.4673014e-07 4.527111e-06 2.5222475e-05 0.0012643574 6.4673014e-07 5.173841e-06 3.880381e-05 2.1988824e-05 7.3727235e-05 0.0096556805 0.006506105 0.0042050392 0.0014253932 0.0026211971 0.0040420634 0.0003388866 0.0012818191 2.1988824e-05 7.566743e-05 0.0012113255 8.79553e-05 5.3031872e-05 8.6661836e-05 1.4228063e-05 0.0014855391 0.017358236 0.007863591 0.003604227 0.0015890159 0.0033351872 0.0043195104 0.0030519194 0.0015062345 0.00023217611 0.0015017074 0.0015592664 0.00047405317 0.0024879707 0.00015909561 0.00010153663 0.0011873965 0.010487376 0.004704315 0.0034923428 0.00035570157 0.0014338007 0.004250957 0.0020100372 0.0045161163 0.00013387314 0.0001972527 0.0030661474 0.00016879657 0.0010625776 7.3727235e-05 3.880381e-05 0.0024187707 0.011172263 0.008487039 0.005993248 0.002789347 0.004085394 0.003352649 0.0021536113 0.0029361548 0.00016168253 0.00336235 0.0027330816 0.00058270385 0.0015838421 0.00029361548 0.00015198159 0.0004921616 0.017504398 0.005495266 0.006453073 0.0027408423 0.006959463 0.0041345456 0.005698986 0.0011304843 0.00039385865 0.0017920892 0.0008614445 0.0020022765 0.0024265314 0.00082781457 0.00055942155 0.0006221544 0.035641946 0.008707575 0.004357021 0.0017862687 0.00414166 0.0031625105 0.014768083 0.0061316486 0.0010826263 0.00118869 0.0019951626 0.0020229719 0.0012494826 0.00090348197 0.00081487995 0.0007877173 0.027220225 0.007079755 0.001531457 0.0021898283 0.003379165 0.0028870034 0.007503363 0.004498655 0.0013917632 0.00035699503 0.0020372 0.0031780319 0.00047987376 0.00094293256 0.0006913545 0.00085756416 0.021173945 0.0017060741 0.0035039838 0.0019958091 0.0030383382 0.003369464 0.011275739 0.008609918 0.001627173 0.001032828 0.002938095 0.0045995447 0.0010011382 0.0012216732 0.0009791494 0.002125802 0.014111651 0.0043188636 0.003347475 0.0031088318 0.0027279076 0.0024064828 0.0057591316 0.0047942107 0.0015010607 0.0013807688 0.0025772196 0.0020313794 0.0013555464 0.0009358185 0.0008271678 0.0017966164 0.007826728 0.0018341267 0.0023301686 0.0016239394 0.0015793149 0.0026722888 0.0035026905 0.002856607 0.0013781819 0.0018270126 0.0019201417 0.001797263 0.0012016246 0.0011181964 0.0015036475 0.002114161 0.017887263 0.004455324 0.004004553 0.0030376913 0.0041623553 0.007873939 0.0068074814 0.0044495035 0.008199245 0.004569795 0.0029258071 0.0039321193 0.0038189415 0.002815863 0.005525662 0.017521212 0.051176403 0.010200228 0.005105288 0.007945727 0.008190837 0.020106839 0.008386796 0.011762728 0.028738746 0.00336429 0.0035783579 0.00594539 0.015789917 0.00669301 0.013289011 0.048733056 0.007840957 0.0019854615 0.00091965025 0.0016724442 0.0019485978 0.0033222528 0.0014726045 0.002899938 0.004680386 0.00045012418 0.0006092198 0.00067324605 0.0033461817 0.0011505329 0.0023896678 0.005698339 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4339.0 35.492508 154002.0 0.016681602 0.009155725 0.030746354 0.0040518953 0.006506409 0.010766094 0.012993338 0.011727121 0.0051298034 0.033577487 0.008623265 0.008947936 0.008577811 0.0041168295 0.0056492775 0.0060064155 0.0020389345 0.006259659 0.01144141 0.004123323 0.00975312 0.016843937 0.012623212 0.0064804354 0.011532318 0.00341554 0.011025831 0.0072856196 0.0048960405 0.0067401724 0.0021623096 0.0037012505 0.0078050937 0.0165842 0.0076817186 0.009473903 0.0037272244 0.0068180934 0.010915442 0.0024480203 0.012818015 0.016856924 0.009831041 0.005909014 0.013792029 0.012811522 0.011363489 0.00755185 0.015603693 0.0062012183 0.010798561 0.0053246063 0.003460994 0.02373995 0.017064713 0.0043635797 0.033915143 0.013123206 0.008318074 0.011831015 0.01022714 0.010649213 0.017201075 0.004999935 0.013571252 0.06126544 0.0037337178 0.010019351 0.0118764695 0.025603564 0.005876547 0.0067921197 0.008344048 0.013766055 0.002876586 0.008545344 0.011116738 0.010519344 0.009889482 0.011889456 0.005922001 0.015434865 0.011077778 0.012558279 0.016499786 0.009584291 0.010636225 0.0072401655 0.0041622836 0.008506383 0.009311567 0.007675225 0.000876612 0.0012792042 0.0022597108 0.0044999416 6.262674 0.0 0.0 0.0 3.0 774254.0 782336.0 1.0 0.0 385.0 0.0 1.0 0.0 0.0 0.0 1091599500.0 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 10.0 5.0 1.0 4.0 0.0 290816.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -290816.0 0.0 475136.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.118031 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.326475 0.0 6.90949 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12104.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -287610.0 0.0 471576.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 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 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 -2.0 -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 2.0 -1.0 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 1.0 0.0 1.0 1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 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 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 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 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -2.0 0.0 -1.0 0.0 1.0 0.0 0.0 -2.0 1.0 -1.0 -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 1.0 0.0 0.0 -2.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 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 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 2.0 1.0 -2.0 -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 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 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 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 1.0 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 1.0 -1.0 1.0 1.0 0.0 -2.0 0.0 0.0 1.0 -2.0 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 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 -1.0 1.0 -1.0 -1.0 -1.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 -1.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 2.0 -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 -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 -1.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 2.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 1.0 0.0 -1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 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 0.0 0.0 1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 2.0 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 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 0.0 0.0 1.0 1.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 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 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 360.0 282952.0 471576.0 307200.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 5760.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 60664.0 380.0 592.0 1664.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.052166756 0.0051373364 0.0040159402 0.003972277 0.004785902 0.003425956 0.0035484256 0.0037156234 0.005786958 0.0032885768 0.0031096647 0.0033609937 0.0047635376 0.0035516205 0.0034142414 0.005175675 0.0039989008 0.0031597174 0.00287431 0.0032119001 0.0033141358 0.0034632292 0.0031384183 0.0031788866 0.0033844227 0.0035249966 0.00298826 0.0032800573 0.003657051 0.0033673835 0.003305616 0.003537776 0.0036740901 0.0027880487 0.0029957145 0.0032481086 0.0035697247 0.003170367 0.0030457675 0.003447255 0.0031309638 0.0029254276 0.002896674 0.0032534334 0.002989325 0.0038774963 0.0030894305 0.0035484256 0.0036421416 0.0030031693 0.0032257447 0.0041266955 0.0030894305 0.0030202086 0.0031075347 0.003146938 0.0035324513 0.0032875119 0.003423826 0.003677285 0.0036155176 0.0037805855 0.0036730252 0.0047028353 0.0043162573 0.003957368 0.0058423355 0.0046900557 0.003263018 0.008533474 0.0032726026 0.0036346868 0.0032747325 0.0030116888 0.0031661072 0.0030170137 0.0032885768 0.0072502047 0.0032992265 0.0035036975 0.0045079486 0.0038870808 0.003308811 0.0032491735 0.0033375646 0.006044677 0.0036581159 0.0037092336 0.0032651478 0.0038455476 0.0028668551 0.0034099815 0.003238524 0.0041714236 0.0037518318 0.003879626 0.0033386296 0.003495178 0.002964831 0.0034770737 0.0040830323 0.004231061 0.003860457 0.003493048 0.0037305327 0.0035281915 0.0037252079 0.003305616 0.003928614 0.0035995434 0.003466424 0.0041320203 0.0036730252 0.0030447026 0.0043801544 0.0040084855 0.0055185896 0.0047550183 0.0033279802 0.0031309638 0.0034823983 0.0035239316 0.0034078518 0.0034174363 0.003489853 0.0037358573 0.003629362 0.0035303214 0.0037124285 0.0035047624 0.0029541815 0.0060191182 0.0031437431 0.004278984 0.0029999744 0.0032523684 0.003170367 0.0071351896 0.003123509 0.014283159 0.003192731 0.004983983 0.0033024212 0.0032523684 0.0037411822 0.003083041 0.0031043398 0.0033652536 0.0031320287 0.0035739844 0.0029499216 0.0031959258 0.0029126483 0.003057482 0.0027273463 0.0031884713 0.003284317 0.0032800573 0.0034142414 0.0033471494 0.0032981616 0.0035644 0.0028349066 0.0036219074 0.0030404427 0.0030212735 0.0028817647 0.003263018 0.0031682372 0.0030404427 0.0027284112 0.0033705784 0.003057482 0.0030457675 0.0032001857 0.0033002915 0.0030191436 0.0028615305 0.0030510921 0.003126704 0.0032491735 0.0030159487 0.0037102986 0.0031884713 0.0035548152 0.0030415077 0.0031852764 0.0032576933 0.0035143471 0.0036421416 0.0035239316 0.003651726 0.004613379 0.004041499 0.0035782442 0.004204437 0.003516477 0.0031362886 0.0035303214 0.0047496934 0.0036740901 0.003585699 0.0033492793 0.0032097704 0.008399289 0.0030915604 0.0032960316 0.0033130709 0.0036410766 0.003495178 0.0032534334 0.003283252 0.0032970966 0.0032119001 0.003080911 0.0033492793 0.0035505556 0.0033897476 0.0032928367 0.0034121114 0.003445125 0.003471749 0.0032747325 0.0034536447 0.0045814305 0.003587829 0.0030660015 0.0033546041 0.004040434 0.0038700416 0.0028434263 0.0032949666 0.007178853 0.0039818618 0.0033620587 0.0041937875 0.0052843 0.003497308 0.0032470436 0.0034568396 0.0050926083 0.0033279802 0.0035558802 0.0032087055 0.0044919746 0.0033194604 0.0036336218 0.0038263784 0.004806136 0.0035079573 0.0037156234 0.0033609937 0.005425939 0.0035739844 0.0040074205 0.014237366 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0046056225 0.00016791331 0.00022868194 5.117358e-05 0.00034808696 4.637606e-05 0.00028945057 0.0001732439 1.5458685e-05 7.729343e-05 2.5053732e-05 1.8123976e-05 1.705786e-05 2.3454559e-05 1.8657034e-05 0.00044457047 0.004100283 7.729343e-05 0.0003272977 7.196285e-05 0.00049201265 9.8082695e-05 0.0005096036 0.000320901 2.2388442e-05 4.1578536e-05 1.5991744e-05 1.5991744e-05 1.9723151e-05 1.6524802e-05 3.624795e-05 0.0003843349 0.006628578 0.00012366948 0.00065512845 0.00022121913 0.0007489467 0.00026706213 0.0013299801 0.0012180378 4.637606e-05 0.00010074799 8.955377e-05 3.7847127e-05 3.9446302e-05 4.637606e-05 3.5181838e-05 0.00042058286 0.004878548 0.00015938438 0.00036994234 0.00023507864 0.0010410625 0.0004520333 0.0017862779 0.0008720831 0.0001183389 0.00053519034 0.00011087609 5.117358e-05 0.000137529 5.757028e-05 6.023557e-05 5.170664e-05 0.0067245285 0.00025693403 0.00062207883 0.00043444237 0.0014904306 0.00053145894 0.0021786087 0.0012036453 0.00019616539 0.00029371504 0.00021375631 0.00012580171 0.00015938438 0.00014659099 0.00021748772 0.0004888143 0.0024536666 0.00024520673 0.00019403316 0.0003326283 0.00048454985 0.00012793395 0.0002697274 0.00018976869 0.0001769753 0.00010341328 8.902071e-05 8.52893e-05 0.00017271083 0.00012793395 0.0001348637 0.00027079353 0.0054990277 0.0005522482 0.00034808696 0.00046109527 0.0028646544 0.0016252942 0.00047175644 0.00037953738 0.0047260933 0.0006631243 0.00029478114 0.00038380185 0.002531493 0.0004088556 0.0018747655 0.003116258 0.019832429 0.0026247783 0.0015874471 0.0025480178 0.010061473 0.0063791065 0.0030059149 0.0024307452 0.014712404 0.0009030005 0.0013321122 0.0015101536 0.008467095 0.0018593068 0.006547553 0.010084927 0.008993757 0.0019472614 0.0013624966 0.0022404434 0.0031994148 0.0033646629 0.0015448024 0.0024963112 0.005478238 0.0004962771 0.00063327304 0.0011119592 0.0032628488 0.0015106867 0.0029659355 0.00524316 0.04896139 0.04727799 0.04591656 0.04948219 0.04664525 0.047292385 0.046904318 0.050764192 0.046879265 0.048196983 0.047687914 0.049308944 0.048531745 0.049764175 0.051014196 0.052665077 3644.0 7.314764 26655.0 0.018345525 0.006790471 0.0073157004 0.00795348 0.012005252 0.007878447 0.0070530856 0.009716751 0.008103546 0.0068655037 0.007915963 0.008291127 0.0064903395 0.007090602 0.010279497 0.008741325 0.007728381 0.007015569 0.0084787095 0.00877884 0.0074657663 0.0073907333 0.0084787095 0.007090602 0.00795348 0.007240668 0.008253611 0.007803414 0.008328644 0.007990996 0.008741325 0.011892703 0.022209717 0.011367473 0.0072031515 0.010542112 0.0061151753 0.007653348 0.010054399 0.009191521 0.008816357 0.00742825 0.006527856 0.0069780527 0.00795348 0.0073907333 0.0066779214 0.008441193 0.011517539 0.007653348 0.008741325 0.009078972 0.010654662 0.007728381 0.012230351 0.010654662 0.009341587 0.008328644 0.007353217 0.00742825 0.0066404054 0.008816357 0.007878447 0.012718064 0.008628775 0.021384357 0.011780154 0.016807353 0.016019508 0.030088164 0.008928906 0.01193022 0.008328644 0.020859126 0.008028513 0.007353217 0.019996248 0.012267867 0.019583568 0.026299005 0.012680547 0.0071281185 0.022359783 0.021159258 0.030951042 0.013505909 0.009416619 0.006152692 0.00994185 0.010842243 0.006715438 0.008141061 0.0073907333 0.008178578 0.0072031515 0.007165635 6.44539 0.0 0.0 0.0 16.0 939008.0 954368.0 1.0 0.0 70.0 0.0 1.0 0.0 1.0 0.0 1542619600.0 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 14.0 15.0 6.0 0.0 6.0 0.0 142336.0 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 59392.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9216.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -142336.0 0.0 727040.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.1955743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.2455554 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.307182 0.0 7.994766 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 59110.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12588.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -141938.0 0.0 726592.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 204940.0 726592.0 225280.0 0.0 0.0 0.0 0.0 0.0 0.0 28.0 192256.0 0.0 0.0 0.0 0.0 24.0 192448.0 64.0 192288.0 0.0 0.0 284.0 147456.0 0.0 0.0 0.0 0.0


Input: 0.20323761 0.011063518 0.0055273073 0.0058813733 0.0075197145 0.0034542396 0.0032934432 0.0025088412 0.009673442 0.001387981 0.0015173514 0.0017237153 0.0063312887 0.0018268973 0.0017148113 0.005665058 0.005521022 0.0011171938 0.0009778719 0.0012963219 0.0029053323 0.004024621 0.0008998307 0.0015372544 0.004610192 0.0033573427 0.0008034577 0.0009192101 0.0020625922 0.0009427796 0.0009941086 0.0009296854 0.0050920574 0.00066989724 0.00107634 0.00070132327 0.002901666 0.0008186469 0.0005860946 0.000621187 0.0020934944 0.002870764 0.0006253771 0.0024276574 0.0017357619 0.00064161385 0.00083855004 0.0005164337 0.0036066556 0.0023401885 0.002224436 0.007831879 0.0031106488 0.0028733825 0.002634545 0.0027665342 0.0033154415 0.0053424174 0.0021720594 0.006202442 0.0032944907 0.002874954 0.0022171033 0.0027246329 0.007984819 0.003047273 0.0028005792 0.0024428465 0.0027167764 0.012711811 0.004257697 0.0023019535 0.0029760408 0.0017661403 0.0013445084 0.0013392707 0.0019787895 0.0075150006 0.0016252472 0.0009820621 0.009637826 0.002443894 0.0019196039 0.009370705 0.003316489 0.0045756237 0.006873911 0.0061610644 0.0035087112 0.002933092 0.000621187 0.001437215 0.001618962 0.00398272 0.0031111725 0.0021186352 0.0016582445 0.0014000277 0.0007956012 0.000932828 0.0019986928 0.0031452174 0.0015833459 0.0007186075 0.00411209 0.0011941874 0.0060673105 0.00066151697 0.0020144056 0.00093963696 0.0019457922 0.0015252079 0.0030865555 0.0006845627 0.0015692043 0.0017582839 0.0106010325 0.013127157 0.0019316506 0.0011130037 0.0021647266 0.0009249715 0.0006384713 0.000742177 0.0023260466 0.0040387628 0.001708526 0.0012088529 0.0025633129 0.0017944238 0.0006672784 0.009325137 0.002877049 0.008697665 0.0022956682 0.0008888316 0.0020081205 0.013268575 0.0013230339 0.039982233 0.0018080417 0.01174232 0.0021118263 0.0006845627 0.004961639 0.0006316623 0.0010826252 0.0012140906 0.0016645297 0.0010302486 0.0007254165 0.0006568031 0.0016294373 0.0008893554 0.0006657071 0.00054576463 0.0015728705 0.0006882291 0.0009804907 0.0009673966 0.001776092 0.0015372544 0.0006510417 0.0008600245 0.001744666 0.003657461 0.0015293979 0.0014565944 0.0022778602 0.0012743237 0.00054052693 0.0007097035 0.0018195646 0.0005101485 0.0005562399 0.00064947037 0.0017394283 0.0006657071 0.0005452408 0.0010140118 0.0014995433 0.0011585713 0.0014744025 0.0010543418 0.0031960227 0.00096058764 0.000614378 0.0010229158 0.0016713387 0.0010611508 0.0020866855 0.00091606745 0.008665715 0.0028655261 0.003751215 0.0034872368 0.0024161346 0.0009857285 0.0027235853 0.003263065 0.0039256294 0.002641354 0.0008872603 0.0019761708 0.0049878275 0.0009789194 0.0038999647 0.0019583628 0.0022527194 0.0015220653 0.0012392313 0.0009474935 0.0021223016 0.0008437877 0.0010611508 0.0011297641 0.0032567796 0.0014345963 0.00074531964 0.0015712993 0.002583216 0.0012837515 0.00077936443 0.00097263424 0.0031342183 0.0009265428 0.0028592409 0.0007275116 0.0027141576 0.0010443903 0.0010176782 0.0007138936 0.021276964 0.0034474307 0.0007956012 0.004364022 0.007001186 0.0011287166 0.0008809751 0.0011470484 0.005239759 0.0030373216 0.0020374514 0.0028587172 0.003453192 0.0014634033 0.0032326863 0.002458036 0.0050108735 0.002285193 0.0019169851 0.0030745089 0.0070755607 0.0023831371 0.0066680703 0.07257884 0.031669352 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0010316023 8.38701e-06 3.931411e-06 1.5725644e-05 3.1451289e-06 0.0 5.241881e-07 5.241881e-07 5.241881e-07 1.0483762e-06 1.5725644e-06 1.5725644e-06 1.0483762e-06 1.5725644e-06 1.5725644e-06 7.862822e-07 0.0009894051 5.2418814e-06 6.814446e-06 3.1451289e-06 2.6209407e-06 2.6209406e-07 1.2580515e-05 9.9595745e-06 7.862822e-07 0.0 5.5039754e-06 5.5039754e-06 2.6209407e-06 4.193505e-06 3.931411e-06 2.0967525e-05 0.0013822841 1.0745857e-05 7.338634e-06 1.1532139e-05 9.9595745e-06 9.9595745e-06 5.2418814e-06 6.2902577e-06 9.697481e-06 3.1451289e-06 9.9595745e-06 1.4677268e-05 8.6491045e-06 4.193505e-06 4.9797873e-06 0.00011165207 0.0042716092 7.155168e-05 0.00013104704 0.000107982756 5.8446978e-05 3.931411e-06 4.193505e-06 1.677402e-05 3.5120604e-05 6.2902577e-06 7.600728e-06 1.8608678e-05 9.251921e-05 9.173293e-06 2.7257784e-05 0.00050557946 0.0015848828 2.0181244e-05 2.122962e-05 1.4415174e-05 9.435386e-06 8.38701e-06 1.1532139e-05 1.0221669e-05 1.5725644e-05 9.435386e-06 2.2015902e-05 2.8044065e-05 2.2802184e-05 2.070543e-05 2.3326373e-05 0.00032473454 0.0058276616 0.00013261959 0.00018818353 0.000117942334 0.000114535105 0.000225663 0.00015751853 0.00011636977 6.60477e-05 8.6753134e-05 4.4818087e-05 4.9797873e-05 9.487805e-05 8.9111985e-05 6.6309796e-05 0.0006733197 0.020191465 0.0007561414 0.0007157789 0.00029878723 0.0004070321 0.0020574385 0.0002959042 0.0002964284 0.0001680023 0.0005954777 0.00020967526 0.00021858646 0.00019394961 0.00026209408 0.000353827 0.0030384564 0.012828981 0.00048723287 0.00036929053 0.00033757716 0.0006287637 0.0016412331 0.00071761356 0.0006049131 0.00022854602 0.00021360666 0.00027231572 0.0002615699 0.00028463415 0.00029354537 0.0002167518 0.0026209408 0.0063597127 0.00018136909 0.00018713517 0.00029826304 0.0010156145 0.00053152675 0.002346004 0.0013193815 0.00024898935 0.00027493667 0.00024505795 0.00032787968 0.0003585447 0.0004586646 0.0006395095 0.0039943135 0.010879262 0.0004856603 0.00041646746 0.00040519744 0.0016569587 0.00063321926 0.00078837894 0.00071001286 0.00070948864 0.0011566211 0.00055144593 0.0007183998 0.0011026297 0.0009330549 0.001075372 0.0067633376 0.02411842 0.0032635953 0.0029889208 0.029230827 0.009453471 0.0040412284 0.006126449 0.0044346317 0.0033810134 0.003797743 0.0029401712 0.002764044 0.0030190616 0.0031912574 0.0031501085 0.006820474 0.018676823 0.0018341343 0.0013521434 0.0015521211 0.008641504 0.002362516 0.0033396026 0.002432757 0.0036265957 0.0023433832 0.002198707 0.0018134288 0.0024427166 0.0021334458 0.002702452 0.008570214 0.051830936 0.0069213803 0.0050099283 0.008112074 0.011633569 0.01798673 0.005528088 0.012336244 0.035264496 0.00416913 0.0044752564 0.0057440535 0.014196063 0.0048715426 0.015721712 0.037207924 0.07985587 0.01860632 0.012702913 0.014983132 0.024036385 0.03405755 0.011251437 0.025244901 0.058179643 0.0071651274 0.010457291 0.008628923 0.027499171 0.011389036 0.029115768 0.05409438 0.00031713382 0.00012659143 0.00012895028 8.753942e-05 0.00016118785 0.000119514894 0.000115059294 0.00011663186 0.00017743769 9.8023185e-05 0.00012449468 0.00010064412 0.00013183332 0.00010247878 0.000115059294 0.00012449468 6040.0 12.943212 78177.0 0.012817069 0.0012535657 0.0012151912 0.0011768168 0.009414534 0.002686212 0.001368689 0.0020210547 0.00835284 0.0015477698 0.0014966038 0.0022001355 0.008685419 0.0017268506 0.006574824 0.0010489018 0.024380572 0.01816391 0.017754583 0.018560447 0.023740998 0.018624404 0.018432532 0.018534863 0.024521278 0.023523543 0.017933663 0.019366309 0.025608554 0.018982565 0.017102217 0.023280505 0.02100362 0.0142241325 0.006843445 0.01963493 0.0131752305 0.008058636 0.0094912825 0.005896875 0.011064636 0.0069841514 0.0011640253 0.0017652251 0.011857707 0.010105274 0.0035432416 0.0058073346 0.018304616 0.0034409098 0.006267828 0.010514601 0.016475433 0.0039653606 0.010015734 0.008340049 0.010271563 0.0021745525 0.0015989357 0.0020978036 0.0100668995 0.0023536335 0.0030443736 0.0071248575 0.008378424 0.018841859 0.0056794197 0.010118065 0.016321937 0.03219617 0.003683948 0.0057177944 0.012586822 0.015426532 0.0035560331 0.0032234546 0.021937398 0.0077260574 0.016999885 0.023408419 0.014556711 0.0014710209 0.020261714 0.011614669 0.038118627 0.010962304 0.003133914 0.003632782 0.011422797 0.004451437 0.0014710209 0.0013175231 0.007956305 0.0017140592 0.0018931399 0.0014454379 6.138995 1.0 0.0 0.0 4.0 1909248.0 2011136.0 1.0 0.0 578.0 1.0 1.0 0.0 0.0 0.0 1354791200.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 5.0 1.0 5.0 1.0 1281024.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -166912.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 258048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -38400.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1281024.0 0.0 163840.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.916865 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.108943 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.7668514 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6159024 0.0 5.0149775 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -166620.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 257662.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -132544.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1280644.0 0.0 163520.0 0.0 0.0 0.0 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 -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 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -3.0 1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 1.0 -1.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 1.0 -1.0 0.0 0.0 -1.0 -1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 2.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 -1.0 -2.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 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 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 1.0 -3.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 0.0 0.0 1.0 0.0 0.0 -2.0 1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 1.0 0.0 1.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 -1.0 0.0 1.0 -1.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 -1.0 -1.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 -2.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 -3.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 -2.0 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 -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 -1.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 0.0 -1.0 0.0 1.0 1.0 -2.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 -1.0 -1.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 1.0 2.0 1.0 1.0 0.0 0.0 1.0 1.0 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 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 -1.0 -1.0 -2.0 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 1.0 0.0 -3.0 0.0 1.0 0.0 0.0 2.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 -1.0 0.0 0.0 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 -1.0 0.0 1.0 0.0 1.0 -1.0 1.0 0.0 0.0 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 -2.0 1.0 1.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -2.0 0.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -1.0 0.0 0.0 -1.0 0.0 0.0 1.0 -2.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 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 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 1.0 1.0 -1.0 0.0 1.0 0.0 0.0 -1.0 -2.0 -2.0 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 -1.0 1.0 0.0 -2.0 -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 1.0 0.0 -1.0 1.0 -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 1.0 0.0 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 0.0 1.0 1.0 0.0 2.0 -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 -1.0 0.0 -1.0 0.0 -1.0 0.0 -2.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 3.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 1.0 0.0 0.0 1.0 -2.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -3.0 -2.0 1.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 1.0 2.0 0.0 -2.0 1.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 -3.0 -1.0 -1.0 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 340.0 1530836.0 163520.0 1679360.0 0.0 0.0 0.0 0.0 104028.0 1843200.0 28.0 1289488.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 1447536.0 0.0 0.0 2376.0 1286144.0 0.0 0.0 0.0 0.0


Input: 0.74492186 0.0109375 0.00390625 0.00390625 0.005078125 0.000390625 0.00078125 0.000390625 0.001953125 0.00234375 0.001953125 0.00078125 0.000390625 0.0015625 0.001171875 0.0 0.005859375 0.000390625 0.0 0.0 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0109375 0.001953125 0.0 0.0 0.00078125 0.00078125 0.0 0.0 0.001953125 0.001171875 0.0 0.0 0.000390625 0.000390625 0.004296875 0.000390625 0.0046875 0.00078125 0.0015625 0.00078125 0.0015625 0.000390625 0.0 0.0 0.0015625 0.002734375 0.00078125 0.0 0.0 0.0 0.0 0.000390625 0.0015625 0.00078125 0.002734375 0.001953125 0.001953125 0.001953125 0.00390625 0.000390625 0.0 0.002734375 0.00078125 0.000390625 0.00234375 0.000390625 0.001953125 0.003125 0.0015625 0.0 0.001171875 0.003515625 0.001953125 0.000390625 0.001953125 0.0 0.0 0.0015625 0.000390625 0.0 0.0 0.0 0.0 0.00078125 0.0 0.00859375 0.003125 0.00546875 0.004296875 0.013671875 0.0015625 0.002734375 0.00234375 0.009375 0.0015625 0.000390625 0.005859375 0.003125 0.009375 0.00859375 0.001953125 0.0 0.012109375 0.00703125 0.00625 0.001953125 0.0015625 0.00078125 0.0 0.001953125 0.0 0.0 0.000390625 0.0 0.000390625 0.0 0.001953125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003125 0.0 0.0 0.0 0.0 0.000390625 0.0 0.00078125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00078125 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.001171875 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.00234375 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.000390625 0.0 0.00078125 0.0 0.0 0.00078125 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.000390625 0.000390625 0.0 0.0 0.0 0.000390625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.000390625 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.72558594 0.009277344 0.028808594 0.019042969 0.033691406 0.016601562 0.100097656 0.04296875 0.0068359375 0.001953125 0.0009765625 0.0063476562 0.001953125 0.001953125 0.0024414062 0.0014648438 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 17.333334 52.0 0.13461539 0.01923077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.057692308 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01923077 0.0 0.0 0.0 0.01923077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.01923077 0.0 0.0 0.0 0.01923077 0.01923077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.03846154 0.01923077 0.057692308 0.01923077 0.057692308 0.0 0.01923077 0.01923077 0.03846154 0.0 0.0 0.01923077 0.03846154 0.07692308 0.07692308 0.01923077 0.0 0.115384616 0.03846154 0.01923077 0.01923077 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.288403 0.0 0.0 0.0 1.0 2560.0 12288.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 1145817900.0 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 -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 -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 7.0 10.0 4.0 0.0 4.0 0.0 0.0 512.0 4096.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -0.54356444 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.345509 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1176.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1176.0 4096.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.27786702 0.008470127 0.002732117 0.0037631525 0.007989749 0.0026528067 0.004055557 0.003560784 0.004118497 0.0034826025 0.0026338964 0.0049014403 0.0051630805 0.0035901372 0.002454954 0.0024143108 0.009131424 0.0021106168 0.0054393965 0.0021021497 0.0023302024 0.0028393695 0.0047044344 0.0020962225 0.0022720601 0.005417099 0.0022734713 0.0021128748 0.0024569295 0.0020970693 0.0021696058 0.002160574 0.005706399 0.0020792878 0.0021786375 0.0022037572 0.0024510026 0.0021080766 0.0020959403 0.004701612 0.0022088375 0.0021108992 0.004714595 0.0020984805 0.0021566225 0.0033019667 0.0032336637 0.0020967869 0.0034199446 0.0031966898 0.0035938064 0.0034907875 0.0025365222 0.0030976224 0.0028625135 0.002515354 0.0029960147 0.0024126174 0.0021159796 0.0021800487 0.0021588805 0.002169888 0.002100456 0.0021044074 0.0073738936 0.0026793375 0.005217271 0.005377303 0.0037981507 0.0033843818 0.0027967507 0.0036330384 0.003652513 0.0021681946 0.002070256 0.0021379944 0.002215047 0.0023860866 0.0021521067 0.0022539967 0.0027685266 0.0028263864 0.002268391 0.0029931923 0.0023220172 0.0023341537 0.0029076724 0.0029494446 0.002175533 0.0024267295 0.0021196487 0.0020860618 0.01035749 0.0021360188 0.002072514 0.00225569 0.0024346325 0.004437432 0.0026494197 0.0039254427 0.005033248 0.006527163 0.0026296626 0.0024555183 0.0024620101 0.005492741 0.0024117706 0.0030070222 0.0034549427 0.0038164966 0.004189905 0.0053809723 0.005594913 0.0020849328 0.004689758 0.005675352 0.0050112335 0.0032172936 0.0032923704 0.0029714596 0.0027340928 0.0029240425 0.0021591627 0.0022861722 0.0021679122 0.0022920994 0.0025128138 0.0020928355 0.005995134 0.0020835216 0.002043443 0.0022503275 0.002098198 0.002207991 0.0024459222 0.0021964188 0.0021955722 0.0023242752 0.0021712992 0.0025274905 0.0022144825 0.0021679122 0.0020826748 0.0020708204 0.0024620101 0.002139688 0.0027016348 0.0020623533 0.0020812636 0.0020425962 0.0020942467 0.0021899273 0.0020773122 0.0021236 0.0026624028 0.0021348898 0.0024930567 0.0020931177 0.0021092056 0.0024357613 0.0026121635 0.002169888 0.0020917065 0.0027637284 0.002156058 0.0020815458 0.0020843681 0.002135172 0.0021298095 0.0020996095 0.0023293556 0.0048091467 0.0027498985 0.0020479588 0.0020651757 0.002038927 0.002403021 0.0020775944 0.0020369512 0.0020513458 0.002157187 0.0020843681 0.002138559 0.0021046898 0.007496387 0.0021171086 0.0021456152 0.0020564261 0.0021286805 0.002156058 0.0028579975 0.0020902953 0.005664345 0.0022274656 0.0020682802 0.0021097702 0.0021430748 0.0020705382 0.0021108992 0.004730401 0.0021007385 0.002091142 0.0021458974 0.002084086 0.0021636786 0.0020617887 0.002126987 0.0020781588 0.0023618136 0.0020575551 0.002134043 0.002804936 0.002216458 0.004710644 0.0021343252 0.0021151328 0.0022322638 0.0020838038 0.0020967869 0.0027896948 0.0021622675 0.002053886 0.002088602 0.0020719494 0.0022616172 0.0020564261 0.002086344 0.0021114636 0.0048083 0.0020558615 0.0020792878 0.0021315028 0.0022757293 0.0047397153 0.0021326318 0.0021577515 0.0024803558 0.00204937 0.0021250113 0.0021125926 0.0026477263 0.0020934 0.0020592485 0.0021077944 0.0021470264 0.0022841967 0.0021029962 0.0020708204 0.0030860505 0.0021128748 0.002094529 0.0020959403 0.00274002 0.00215126 0.0020682802 0.0026646608 0.0005782018 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027936068 0.0 2.823251e-06 1.4116254e-07 5.646502e-07 1.2704629e-06 2.6820883e-06 1.9762756e-06 1.4116254e-07 0.0 0.0 0.0 0.0 1.4116254e-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 0.0002563512 2.3997634e-06 2.6820883e-06 9.881378e-07 1.8351132e-06 3.952551e-06 5.3641766e-06 2.6820883e-06 3.8113888e-06 4.2348765e-07 4.2348765e-06 1.552788e-06 9.881378e-07 5.646502e-07 7.0581274e-07 5.646502e-07 0.0012330548 1.877462e-05 1.4680905e-05 1.5245555e-05 1.41162545e-05 4.1360625e-05 1.5810205e-05 1.2563467e-05 1.0446029e-05 6.352315e-06 6.7758024e-06 6.6346397e-06 8.32859e-06 2.3150658e-05 7.19929e-06 1.10106785e-05 0.00023912935 1.8351132e-06 1.8351132e-06 1.9762756e-06 7.19929e-06 3.3879012e-06 1.2704629e-06 2.3997634e-06 8.32859e-06 1.6939506e-06 1.9762756e-06 1.4116255e-06 3.952551e-06 1.2704629e-06 3.6702263e-06 7.76394e-06 0.00018026457 0.0 2.3150658e-05 3.2467385e-06 2.823251e-06 1.8351132e-06 4.6583642e-05 3.105576e-05 0.0 0.0 1.4116254e-07 0.0 0.0 0.0 0.0 0.0 0.043074057 0.0030870838 0.0019445141 0.00028430138 0.0029871406 0.0008612327 0.0005217368 0.0009508709 0.0010118531 0.0005752374 0.0007597368 0.0013081533 0.0013427382 0.0008170488 0.0014960407 0.0005567451 0.13486288 0.010031011 0.0065092873 0.0017840123 0.008574495 0.004772282 0.0069210585 0.005665982 0.0029394277 0.0021870313 0.0033232486 0.0043191505 0.0040777624 0.0028747753 0.004277649 0.002141577 0.12432312 0.0065320143 0.0048287474 0.008671897 0.009083527 0.008891546 0.020344064 0.01284678 0.0020757953 0.0012824617 0.0026047314 0.002489825 0.002413456 0.0024504405 0.0016895746 0.0010938686 0.00016981854 7.76394e-06 7.905102e-06 7.76394e-06 8.187428e-06 8.046265e-06 7.905102e-06 7.905102e-06 8.469753e-06 7.905102e-06 7.76394e-06 7.905102e-06 8.610916e-06 7.6227775e-06 7.905102e-06 7.6227775e-06 0.00047614126 2.1597869e-05 2.710321e-05 2.6820884e-05 8.6814965e-05 5.420642e-05 0.00013622186 8.55445e-05 3.896086e-05 1.270463e-05 1.41162545e-05 2.3291821e-05 2.6538559e-05 4.0372488e-05 4.6160152e-05 3.9807837e-05 0.00018266434 1.3975092e-05 2.6256233e-05 1.8209968e-05 4.9265727e-05 2.0609732e-05 8.356823e-05 5.223014e-05 1.2845791e-05 1.3128117e-05 1.1998816e-05 1.270463e-05 1.3975092e-05 1.1998816e-05 3.825505e-05 1.6516018e-05 0.0015290728 0.00027907835 0.00019960385 0.0002642563 0.000529783 0.00043816856 0.00016516018 0.000319592 0.0009169919 9.754332e-05 6.380547e-05 0.00011631794 0.00034274266 0.00018337015 0.0002593156 0.0006554177 0.00037521005 9.669634e-05 5.985292e-05 7.862754e-05 0.00016360739 0.00017969993 6.931081e-05 0.00011801189 0.00028980672 1.8915782e-05 2.1174383e-05 2.9079485e-05 0.00012168212 4.5736666e-05 8.32859e-05 0.00027300837 0.031932805 0.03163382 0.03180858 0.031805474 0.031800535 0.031731505 0.031999715 0.031621117 0.03176609 0.031709626 0.031551663 0.0317963 0.031627044 0.031668123 0.03176496 0.031732917 8813.0 5.85737 51621.0 0.011138878 0.0097828405 0.010325255 0.009511633 0.010034676 0.010015304 0.009453517 0.009705353 0.009821584 0.009066078 0.010325255 0.009395401 0.010480231 0.009589121 0.011332598 0.009860328 0.009666609 0.010247767 0.010247767 0.01067395 0.009957188 0.009453517 0.009317913 0.009705353 0.0101896515 0.010325255 0.010131536 0.009414773 0.009085449 0.009085449 0.009647236 0.01017028 0.010034676 0.011003274 0.009937816 0.010925786 0.009162937 0.00968598 0.010945158 0.010538347 0.009647236 0.010112164 0.009279169 0.010499603 0.010363999 0.009763468 0.009937816 0.010150908 0.010383371 0.010150908 0.01156506 0.010209023 0.0101896515 0.009763468 0.009724724 0.010383371 0.009705353 0.0093372855 0.010557719 0.009937816 0.00968598 0.010267139 0.0097828405 0.011584433 0.009937816 0.012766122 0.010460859 0.011681292 0.0119525 0.016272448 0.010732067 0.011158249 0.010344627 0.012901726 0.010131536 0.009298542 0.012417427 0.011274481 0.013947812 0.01204936 0.011603804 0.008814243 0.014005927 0.012533659 0.01392844 0.010460859 0.010577091 0.010015304 0.009298542 0.0110420175 0.010363999 0.010015304 0.008852987 0.009279169 0.009957188 0.009550377 6.5757356 1.0 0.0 0.0 38.0 3543040.0 3543040.0 0.0 0.0 114.0 0.0 1.0 0.0 0.0 0.0 1135997300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 28672.0 4096.0 4096.0 4.0 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 24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -28672.0 0.0 3477504.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.6913643 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.301229 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.598759 0.0 6.5379405 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 24432.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6488.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -27056.0 0.0 3477504.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 -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 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 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 -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 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 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 54696.0 3477504.0 65536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 472.0 32768.0 0.0 0.0 0.0 0.0


Input: 0.056601763 0.008289693 0.006173835 0.0056619346 0.005750871 0.004963888 0.0042027584 0.0054189106 0.0050424826 0.005616432 0.0037560083 0.004470601 0.0049628536 0.0031737857 0.004317548 0.0046381326 0.0050280048 0.0037642815 0.0049266587 0.0041603586 0.004353743 0.0031768882 0.004106583 0.0038480472 0.0050662677 0.0033619998 0.0031706833 0.002936967 0.004151051 0.003442663 0.003789101 0.0037911693 0.0061614257 0.003819091 0.0034902336 0.0030259031 0.004902873 0.00415829 0.003847013 0.0037249841 0.004720864 0.0038987203 0.0033330438 0.0030920885 0.004374426 0.00372395 0.0037311888 0.0035895114 0.0055181887 0.003948359 0.0030982932 0.0028997378 0.0036712086 0.0030714055 0.002691875 0.0028676793 0.0041696657 0.0033144292 0.0035233262 0.0033516583 0.004005237 0.0032275612 0.0035098824 0.0034488677 0.0065854243 0.0039442223 0.003624672 0.0032275612 0.0041531194 0.0032244588 0.003545043 0.0030714055 0.004993878 0.003773589 0.0037053353 0.0035915796 0.004122095 0.0031220785 0.003557453 0.0034633458 0.005168648 0.003637082 0.0036608672 0.0033392487 0.0039307787 0.0033744094 0.0033599315 0.0035378041 0.0046402006 0.0036515598 0.0038066814 0.00350678 0.004112788 0.0033826826 0.0036898232 0.0037880668 0.0059080604 0.0036319112 0.0033371802 0.002952479 0.004005237 0.0030496884 0.0032678926 0.0030300398 0.0049690586 0.0031675808 0.003203776 0.0030434837 0.0035719308 0.002828382 0.0030817469 0.003190332 0.0045026597 0.003290644 0.0032316977 0.0031458638 0.0038956178 0.0033320095 0.0032885757 0.003623638 0.0046215863 0.0032885757 0.0034798922 0.003169649 0.0040341928 0.0032027417 0.0034747215 0.0033444194 0.008631994 0.004598835 0.0040104077 0.0035253945 0.0043630507 0.0034312874 0.0030186642 0.0033816486 0.00453265 0.0038377056 0.0029700594 0.0031986053 0.0037332573 0.0027994257 0.002851133 0.002981435 0.005224492 0.0032017075 0.003493336 0.0030300398 0.003658799 0.0031789565 0.0033040878 0.0032637562 0.0045429915 0.002843894 0.0030362445 0.0027063529 0.0035181553 0.0032285952 0.0029855717 0.003153103 0.005015595 0.0034157753 0.0032740976 0.002806665 0.0037766912 0.0030155617 0.0030548591 0.0031851614 0.004129334 0.0029990154 0.0031148396 0.0030134935 0.0036432866 0.0028387234 0.0029183524 0.003038313 0.0046670884 0.0031148396 0.0038449448 0.0028594062 0.0035595212 0.003153103 0.0029917764 0.0031272492 0.004251363 0.003146898 0.0033423512 0.0031851614 0.0036484576 0.0031996393 0.0033371802 0.0033402827 0.0067115896 0.004064183 0.0037146427 0.0033371802 0.0041179587 0.0032575512 0.0033175317 0.0032254928 0.0043340945 0.003341317 0.003118976 0.0030807129 0.003646389 0.0029835033 0.0030838153 0.0027963235 0.00424309 0.003283405 0.0030972592 0.0030083228 0.003710506 0.003032108 0.002938001 0.0029555815 0.00398352 0.0031065664 0.0027166945 0.002642236 0.0035233262 0.0029504108 0.0035760675 0.0028904304 0.004960785 0.0032348002 0.0033961264 0.0029710936 0.0038087496 0.0030724397 0.00320481 0.0029142157 0.004448884 0.0054592425 0.0034664483 0.0031355224 0.0037932375 0.00309002 0.0032513465 0.0032017075 0.004614347 0.0033175317 0.0034188777 0.0030434837 0.0037415305 0.0030941567 0.0033071903 0.0032441074 0.004352709 0.0030341763 0.0031924003 0.0028687133 0.0040104077 0.0031003614 0.0042234412 0.0045088646 0.011655579 0.0 0.0 0.0 0.0 0.0 1.0355913e-06 3.1067736e-06 0.0 1.0355913e-06 2.0711825e-06 0.0 0.0 1.0355913e-06 0.0 1.0355913e-06 0.002049435 4.142365e-06 2.0711825e-06 6.2135473e-06 5.177956e-06 1.0355913e-06 3.1067735e-05 1.1391503e-05 0.0 0.0 1.0355912e-05 0.0 0.0 0.0 0.0 0.0 0.00094911933 2.588978e-06 6.2135473e-06 1.294489e-05 9.320321e-06 5.6957515e-06 5.177956e-05 2.2783006e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0028587496 3.5727895e-05 2.7960963e-05 1.0873708e-05 2.226521e-05 3.4692304e-05 4.245924e-05 1.8122846e-05 3.5727895e-05 5.177956e-06 9.838116e-06 1.6051663e-05 2.6407575e-05 7.2491384e-06 1.7087255e-05 1.294489e-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 0.0008786991 1.1909298e-05 1.2427095e-05 8.28473e-06 1.3462685e-05 1.6051663e-05 1.3462685e-05 1.1391503e-05 1.0873708e-05 1.3462685e-05 6.7313426e-06 1.3462685e-05 1.1909298e-05 1.0355912e-05 1.8122846e-05 9.838116e-06 0.0016227714 6.5242246e-05 5.6957517e-05 4.8672788e-05 4.7637193e-05 3.054994e-05 2.2783006e-05 0.0005540413 3.0032144e-05 1.7087255e-05 1.9676232e-05 0.00027702065 2.0711825e-05 0.00027391387 1.656946e-05 7.766934e-05 0.0007420011 3.7281283e-05 3.417451e-05 2.0711825e-05 2.226521e-05 1.7087255e-05 1.39804815e-05 1.1909298e-05 1.656946e-05 2.2783006e-05 1.9158437e-05 1.760505e-05 6.7313426e-06 4.6601604e-06 2.2783006e-05 5.074397e-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 0.0013167543 3.7281283e-05 4.2977033e-05 6.006429e-05 4.245924e-05 3.1585532e-05 9.164982e-05 5.85109e-05 3.9352464e-05 5.747531e-05 4.4012624e-05 4.2977033e-05 7.8187135e-05 7.766934e-06 8.802525e-06 0.00016103443 0.001167629 6.938461e-05 4.608381e-05 4.608381e-05 3.8316874e-05 3.779908e-05 4.7637193e-05 6.006429e-05 5.2297357e-05 5.074397e-05 6.834902e-05 5.177956e-05 7.508036e-05 1.4498277e-05 4.4012624e-05 0.00025113087 0.0045726527 0.0002935901 0.00027236048 0.00026407576 0.00030912398 0.00023870377 0.000329318 0.00031223075 0.00032621121 0.000352101 0.00032621121 0.000352101 0.0005209024 0.00015119632 0.00018640641 0.00073682313 0.0031932455 0.0002733961 0.00030032144 0.00024854188 0.00028841215 0.0002821986 0.0003427807 0.0009325499 0.00040698735 0.00035106542 0.00032414004 0.0006684741 0.00046239147 0.0004349483 0.00017449712 0.00086005847 0.0022487864 0.00018174626 0.00028996554 0.00024491732 0.00029825026 0.0002946257 0.00028530537 0.0004023272 0.00044271525 0.00032258665 0.00024595292 0.00031689092 0.0004603203 0.00016155223 0.00018951319 0.0010376624 0.00034433408 5.436854e-05 4.2977033e-05 4.504822e-05 5.436854e-05 4.815499e-05 5.3332948e-05 5.177956e-05 7.04202e-05 4.815499e-05 3.8316874e-05 4.919058e-05 4.453042e-05 2.6407575e-05 4.1941443e-05 4.71194e-05 0.09915268 0.06203554 0.062473074 0.05533526 0.060580533 0.05956824 0.05492258 0.05448815 0.060461957 0.05314654 0.052139428 0.05298447 0.056442827 0.050566882 0.056713633 0.053845048 4032.0 5.702629 22993.0 0.01717914 0.010481451 0.009437655 0.008785282 0.013395381 0.012438568 0.011829687 0.011481755 0.012612535 0.009742095 0.008480842 0.008567825 0.01396077 0.010524943 0.011829687 0.010003044 0.016744226 0.011873179 0.0086982995 0.007524029 0.009785587 0.008480842 0.007871961 0.008306876 0.010350976 0.008393859 0.00956813 0.008828774 0.011525247 0.008959249 0.009611621 0.009176706 0.017961988 0.010959857 0.010350976 0.009089723 0.010872874 0.008828774 0.010611925 0.008263385 0.014178229 0.011568738 0.009698604 0.008959249 0.011438264 0.0093071805 0.011655721 0.009524638 0.01478711 0.009611621 0.010003044 0.009089723 0.012047145 0.009394163 0.00956813 0.009742095 0.013743313 0.009263689 0.010524943 0.009524638 0.011133824 0.009785587 0.01043796 0.010655417 0.017918497 0.011003349 0.009655112 0.008219893 0.013090941 0.008306876 0.009394163 0.008306876 0.01539599 0.0093071805 0.008872266 0.0086982995 0.011351281 0.008045927 0.009959553 0.007828469 0.013264907 0.007958944 0.008654808 0.008872266 0.011481755 0.009437655 0.008219893 0.008045927 0.010916366 0.008959249 0.011960162 0.008611317 0.011351281 0.009133214 0.010003044 0.008741791 6.554744 0.0 0.0 0.0 14.0 966984.0 2072576.0 0.0 0.0 2.0 0.0 1.0 0.0 0.0 0.0 1504401000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 40.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 192512.0 4096.0 4096.0 6.0 0.0 0.0 4.0 6.0 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 94208.0 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 831488.0 0.0 0.0 16384.0 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 -0.7120981 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.959737 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.042169247 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 7.86137 0.0 0.0 7.523454 0.0 0.0 0.22095801 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 204800.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 995328.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 831488.0 0.0 0.0 27980.0 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 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 149.0 237677.0 27980.0 208896.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0