Input: 0.13880745 0.011206474 0.007843693 0.0049883868 0.013311963 0.0043681376 0.002828912 0.004437721 0.013935811 0.0014576456 0.0037286931 0.005415483 0.013091216 0.000982561 0.001106131 0.0036855037 0.021762708 0.0009777622 0.0007522171 0.00088298524 0.003765884 0.003672307 0.00064064417 0.00062144885 0.0035823288 0.0011769137 0.0005614635 0.00074021996 0.002266249 0.0005086763 0.0005518658 0.0006238483 0.0028757006 0.0007150261 0.0011997082 0.00083979574 0.009583269 0.00069343136 0.0005398687 0.0005110757 0.0019999137 0.0014804399 0.0004079008 0.0010425465 0.0018283554 0.0009237753 0.00079420686 0.00041509906 0.0045300983 0.0018307548 0.0027773245 0.0072666327 0.00378268 0.0016531979 0.0019375288 0.0019231323 0.0032991976 0.0028229135 0.0014936368 0.0039578374 0.0024857954 0.0016040099 0.0016448 0.0016795915 0.0031852254 0.0021354808 0.0021414792 0.004908006 0.0047808373 0.01077218 0.0026045665 0.0017527738 0.0022590505 0.0025469805 0.0013916616 0.0008721879 0.0022182604 0.008937826 0.0027701263 0.001394061 0.007889281 0.0043561407 0.0021678729 0.006242082 0.003885855 0.0043897326 0.005192337 0.0042973547 0.001578816 0.002356227 0.0010449459 0.001990316 0.0020814938 0.004411327 0.0034935505 0.0041461918 0.0013496717 0.0070086955 0.0015368263 0.0039242455 0.005030377 0.014448086 0.002310638 0.0030628552 0.0053530983 0.0071730553 0.0068659303 0.0009297739 0.005579843 0.0020419033 0.006762755 0.0057562003 0.0034419629 0.00063464564 0.007626545 0.004748445 0.017182222 0.010734989 0.0022770462 0.0016819909 0.00415339 0.001895539 0.00043309468 0.0004666865 0.0012812883 0.0022890433 0.0010365479 0.0007582156 0.0033987735 0.00131608 0.00034191684 0.010988127 0.0040982035 0.011949094 0.0006970305 0.0004103002 0.0019303305 0.021949861 0.0009813614 0.046569075 0.0016531979 0.020703364 0.000509876 0.00032032208 0.0012920857 0.00029512824 0.00031672296 0.0010521441 0.000933373 0.0006670378 0.0003623119 0.00032632065 0.0014672432 0.00042589643 0.0003479154 0.0003383177 0.0011685158 0.0005974547 0.00033951743 0.00037310927 0.0013580697 0.0013904618 0.00032512093 0.00057705963 0.0014624443 0.002730536 0.0002927288 0.0007162258 0.001200908 0.00031192414 0.00032632065 0.00051827397 0.0009573672 0.00030352618 0.00034551596 0.00035631334 0.0019015375 0.00039110487 0.0003503148 0.0006418439 0.0027005433 0.0017995624 0.0008146019 0.00054946635 0.003491151 0.001866746 0.0015032344 0.0005086763 0.0010329488 0.00078340946 0.0005686617 0.0004354941 0.005764598 0.0017947635 0.0031120433 0.0027209383 0.0016112082 0.00090817915 0.002701743 0.0028697022 0.0033171934 0.002430609 0.0005146748 0.0014828393 0.011367235 0.0017323787 0.0028037182 0.0021246832 0.0019015375 0.00082299986 0.0008865844 0.00060705235 0.0015344268 0.00030952474 0.0012680916 0.00059385557 0.0026105652 0.0010617417 0.0004510903 0.0015956119 0.0024845956 0.00048228272 0.00056266313 0.00050387747 0.002459402 0.00044509175 0.0005662623 0.00038390662 0.0023010403 0.0018595478 0.0004210976 0.00044389206 0.023826206 0.0032872006 0.0004103002 0.0025037911 0.0061005163 0.0003491151 0.00041629875 0.0005230728 0.004434122 0.0017095843 0.0005662623 0.00073662086 0.0020706963 0.00044749118 0.0025829717 0.001578816 0.0036807049 0.0024725986 0.0022938421 0.0017215813 0.007544965 0.0027905214 0.009084191 0.07563081 0.003690037 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0021489179 5.1050316e-05 1.6215983e-05 6.6065113e-06 1.26124305e-05 2.9429006e-05 1.5615391e-05 6.6065113e-06 9.609471e-06 8.408288e-06 3.0029598e-06 3.6035517e-06 6.2461564e-05 4.204144e-06 9.609471e-06 7.207103e-05 0.0010180033 6.0059196e-05 2.4624269e-05 1.4414207e-05 6.6065113e-06 6.6065113e-06 1.0810655e-05 4.8047355e-06 7.8076955e-06 3.0029598e-06 4.204144e-06 3.0029598e-06 6.0059197e-06 2.1020718e-05 2.162131e-05 1.7417166e-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 0.017008163 0.0017975717 0.0004972901 0.00017477226 0.00031531078 0.0003339291 0.00086004764 0.0004846777 0.00010150004 0.00041260666 0.00018378113 0.0002318285 0.00016155923 0.000109908324 0.00013152964 0.0017957699 0.038794637 0.0032371907 0.0011110951 0.0006300209 0.0034071582 0.0022660333 0.020828528 0.010973415 0.00033753266 0.0008216098 0.00018678409 0.0004108049 0.0003951895 0.0004942872 0.0006852754 0.0027513118 0.023137804 0.0011303141 0.000787376 0.0011369205 0.0056203394 0.0035158652 0.028547335 0.014420813 0.0002240208 0.0003339291 0.00010690537 0.00030089656 9.128998e-05 0.00012552371 0.00012492313 0.00034654155 0.011912741 0.00083782576 0.0006510417 0.0010528377 0.0019345067 0.0013603407 0.0058942093 0.0027176784 0.00024203856 0.0002624587 0.0001939912 0.00022462138 0.00020360066 0.00019699415 0.00028468057 0.0003207161 0.0062707807 0.00082461274 0.0004624558 0.00029188767 0.00063842925 0.0007345239 0.0024882525 0.001336317 0.00021921606 0.00021200896 0.0001195178 0.00030029597 0.00018558292 0.00016035805 0.00024924567 0.00026666283 0.00657468 0.0020456163 0.001378959 0.017832777 0.0013771573 0.0013651454 0.0019615332 0.0015597373 0.0013164976 0.0011741573 0.0012366188 0.0013110922 0.0014552342 0.0011579413 0.0012125951 0.0013207017 0.0039855284 0.0015435213 0.00060059194 0.00084803585 0.0011777608 0.001254036 0.00082341157 0.00077116006 0.0052509755 0.0003495445 0.00058377534 0.0008474352 0.0011735567 0.00047206527 0.0013993792 0.007209506 0.0639258 0.016402166 0.01183046 0.01231754 0.020361869 0.02527351 0.009309776 0.01465084 0.07116594 0.0038804247 0.006533239 0.009068938 0.022539616 0.007211908 0.022208689 0.06831313 0.052238885 0.015190772 0.0084977755 0.01027853 0.019863378 0.023441704 0.008458737 0.013763766 0.04908638 0.0028371962 0.004012555 0.006642547 0.021003902 0.0077356244 0.020016529 0.03705472 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6842.0 13.809705 94486.0 0.0019156277 0.00047626105 0.00032809094 0.0004445103 0.004138179 0.00032809094 0.0002963402 0.00038100884 0.001280613 0.0006561819 0.00032809094 0.0004445103 0.0013123638 0.0045297714 0.0031962406 0.0004974282 0.006434816 0.0060114725 0.005450543 0.007461423 0.006223144 0.0048896135 0.0051647862 0.0053341235 0.006805241 0.0069322437 0.004593273 0.004572106 0.005630464 0.004794361 0.004222848 0.0039794254 0.0026882289 0.0070380797 0.005080118 0.018066168 0.00833986 0.0031539064 0.0021061322 0.0015663697 0.0038630061 0.016372796 0.0013652816 0.00082551915 0.0028999005 0.0042545986 0.0073661706 0.002233135 0.0039794254 0.0026458947 0.0036195838 0.013240057 0.0054611266 0.0016298711 0.0039053406 0.006657071 0.0017039562 0.00082551915 0.00075143407 0.0015769532 0.0052812058 0.0008890206 0.0019897127 0.014922846 0.0011430265 0.053362403 0.009652223 0.028459243 0.02839574 0.1036979 0.010191986 0.022193763 0.014044409 0.05621997 0.003788921 0.0038841732 0.037095442 0.014277248 0.05234638 0.044355776 0.01038249 0.00093135494 0.055828378 0.031507313 0.08089029 0.025739264 0.010721165 0.00718625 0.01567428 0.009123045 0.0006985162 0.0003492581 0.0013335309 0.00043392673 0.00037042526 0.00037042526 5.3643684 0.0 0.0 0.0 4.0 833536.0 860160.0 1.0 5.0 251.0 1.0 1.0 0.0 1.0 0.0 3233412600.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 10.0 0.0 14.0 13.0 10.0 0.0 10.0 0.0 785408.0 1024.0 4096.0 7.0 0.0 0.0 2.0 2.0 0.0 0.0 0.0 0.0 0.0 -29696.0 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 -5120.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -784896.0 -10240.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.713278 0.0 0.0 0.0 -6.0643177 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.9338956 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.4525647 -5.267264 -0.9163879 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -29200.0 0.0 0.0 0.0 -342.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -9412.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -784835.0 -10104.0 812.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 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 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -1.0 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 -1.0 0.0 0.0 0.0 0.0 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 -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 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 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 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 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 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -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 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 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 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 1.0 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 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 1.0 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 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 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 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 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 -1.0 1.0 1.0 -1.0 -1.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 -1.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 2.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 195.0 788736.0 1020.0 808120.0 1256.0 823296.0 0.0 0.0 0.0 0.0 29200.0 827392.0 84.0 68992.0 0.0 0.0 0.0 0.0 24.0 14212.0 164.0 14048.0 0.0 0.0 1204.0 806912.0 416.0 785316.0 0.0 0.0


Input: 0.09371113 0.061790656 0.01903568 0.0070254197 0.0080845775 0.003915967 0.006403529 0.0047613494 0.004703047 0.003983986 0.011359219 0.004712764 0.003896533 0.005315221 0.0064326804 0.0032357743 0.0033426618 0.004149176 0.0042074784 0.0036536069 0.0029053949 0.0030317164 0.0035661536 0.005587298 0.0027499222 0.0030219993 0.0037604943 0.003206623 0.0033135107 0.0028470927 0.004314366 0.004401819 0.0050237095 0.004644745 0.0042560636 0.003206623 0.0032357743 0.002963697 0.002458411 0.002924829 0.0051597483 0.0040034205 0.003468983 0.003196906 0.0030025654 0.0027790733 0.0050237095 0.0035370025 0.0043532336 0.0030317164 0.002662469 0.0036050219 0.0033718129 0.0027110542 0.002419543 0.0030997356 0.002963697 0.0022737873 0.002390392 0.0025167132 0.0023709578 0.0031094528 0.0030997356 0.0029539801 0.0025361474 0.0049362564 0.0033912468 0.0033329446 0.0045572915 0.0036050219 0.0049751243 0.004984841 0.0030122823 0.0046738964 0.0025264304 0.0027887905 0.003468983 0.0032454913 0.0030219993 0.0062286225 0.003974269 0.002934546 0.0033620957 0.0037702115 0.0035758705 0.004839086 0.0025847326 0.0023709578 0.004644745 0.0033329446 0.002652752 0.0021085977 0.0023223725 0.002157183 0.004100591 0.0029734143 0.0024001088 0.0057136193 0.003925684 0.0038868159 0.0034787003 0.013020833 0.0037799284 0.004440687 0.0028179416 0.0063063586 0.0024098258 0.0025750156 0.0057330537 0.0048293686 0.005859375 0.010844217 0.004188044 0.002730488 0.00755014 0.008026275 0.008269201 0.0048196516 0.002390392 0.0027596394 0.0032163402 0.0044892724 0.002701337 0.004926539 0.0025069963 0.003158038 0.0026333178 0.002448694 0.002681903 0.0024098258 0.0032552083 0.002730488 0.0023223725 0.0025361474 0.0022932214 0.0018753887 0.0022640703 0.0027402053 0.0038285137 0.003128887 0.00242926 0.0022543531 0.0026041667 0.0029734143 0.0024681282 0.001982276 0.0030122823 0.00364389 0.0028665268 0.002215485 0.0027110542 0.0023418067 0.0034787003 0.0034981344 0.002662469 0.001982276 0.0021280318 0.002419543 0.0028859607 0.002895678 0.0034592662 0.0028082244 0.002895678 0.0029734143 0.0020600124 0.0023223725 0.0035953047 0.001962842 0.0029151118 0.0018948228 0.0017879353 0.0021085977 0.0034787003 0.0028568096 0.0024972793 0.001982276 0.0021183146 0.0025555815 0.0036827582 0.0027402053 0.0029734143 0.002895678 0.0020211444 0.0019239739 0.0018948228 0.002681903 0.0022543531 0.0018170865 0.0027110542 0.0022640703 0.0021085977 0.0024681282 0.0017685012 0.0023223725 0.00269162 0.0027207711 0.0020211444 0.002390392 0.002186334 0.0026430348 0.0015838775 0.0023029384 0.0028373757 0.0023806747 0.0030219993 0.001991993 0.0023806747 0.0024001088 0.0029151118 0.0030705845 0.0022640703 0.0040617227 0.0021280318 0.001933691 0.0025944496 0.0024001088 0.0018073694 0.0016616138 0.0020600124 0.0022446362 0.0023515236 0.0018753887 0.0025361474 0.0023515236 0.0017587842 0.002225202 0.0020794466 0.0024681282 0.0020794466 0.002701337 0.00242926 0.002662469 0.0029053949 0.0029928482 0.0019434079 0.002662469 0.0030900186 0.002157183 0.0025069963 0.003400964 0.002196051 0.0024972793 0.002438977 0.0028568096 0.0029734143 0.00242926 0.0024778452 0.0025652985 0.0020308613 0.0027110542 0.0029053949 0.003896533 0.0025847326 0.0025264304 0.0027887905 0.0038576648 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.026648318 0.0044093276 0.002914891 0.00055239897 0.0025647096 0.0018248896 0.011842053 0.008843316 0.00021701389 5.4253473e-05 0.00013809974 6.411774e-05 7.891414e-05 6.904987e-05 0.000108506945 0.00027619948 0.07490925 0.00785689 0.0074228616 0.0026732166 0.005711411 0.0029000947 0.01127979 0.0090553975 0.0010110874 0.002397017 0.00069543085 0.00073488796 0.00073488796 0.00036991003 0.0013711333 0.0021898674 0.053962477 0.00434521 0.0047003236 0.0020419033 0.0062786066 0.0054796007 0.0074524544 0.003945707 0.0021060212 0.0017903646 0.0021997318 0.0021208175 0.00055239897 0.0015536222 0.00075461646 0.0017262468 0.02121804 0.0016325363 0.0019186 0.0013070154 0.0026682843 0.0021504103 0.0026090988 0.0013859296 0.0006461095 0.0012182371 0.00069543085 0.0010209517 0.0002614031 0.0006658381 0.00034031723 0.0006658381 0.012345131 0.001435251 0.0017459753 0.0013218118 0.0017114504 0.0013563368 0.0048384233 0.0027324022 0.00048828125 0.00047348486 0.00018248895 0.0002909959 0.0003649779 0.00023674243 0.00034524937 0.00043402778 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0039605033 0.00025647096 0.0003501815 0.0003649779 0.00046855272 0.0005080098 0.0010110874 0.0005967882 0.00039950284 0.00025647096 0.0003501815 0.00029592804 0.00031565657 0.00031072443 0.00030086018 0.00035511365 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.04862591 0.038751777 0.03993549 0.03894906 0.042584043 0.038174715 0.042633366 0.040206756 0.03807114 0.03764698 0.03793304 0.03513159 0.035866477 0.035610005 0.037420098 0.038722184 662.0 13.26284 8780.0 0.01617312 0.0035307517 0.0038724374 0.0028473805 0.0034168565 0.0030751708 0.0014806378 0.0028473805 0.0025056947 0.0009111617 0.0020501139 0.003189066 0.008428246 0.0054669706 0.026651481 0.0035307517 0.012984055 0.0089977225 0.0033029614 0.006719818 0.0059225513 0.0064920275 0.004328018 0.004441913 0.0029612756 0.0035307517 0.002164009 0.001594533 0.0029612756 0.009453303 0.0054669706 0.0028473805 0.002164009 0.014123007 0.01047836 0.011958998 0.013667426 0.004783599 0.0060364464 0.007972665 0.0018223234 0.0089977225 0.004441913 0.0022779044 0.0041002277 0.004555809 0.0034168565 0.0033029614 0.011389522 0.0027334853 0.0096810935 0.015148064 0.014464692 0.004328018 0.004441913 0.0038724374 0.004783599 0.0038724374 0.0041002277 0.0025056947 0.004328018 0.0020501139 0.0018223234 0.01070615 0.002164009 0.02972665 0.016628701 0.01833713 0.011275627 0.08223235 0.00785877 0.017767653 0.004783599 0.041002277 0.0023917996 0.0066059227 0.030637814 0.025056947 0.040318906 0.04601367 0.012300683 0.0034168565 0.04350797 0.043166287 0.060592256 0.02927107 0.004214123 0.006719818 0.0071753985 0.014920274 0.0013667427 0.001594533 0.0025056947 0.0022779044 0.0019362187 0.0037585422 5.7723937 0.0 0.0 0.0 3.0 102912.0 131072.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541256700.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 48.0 0.0 4.0 0.0 6.0 0.0 100352.0 512.0 4096.0 3.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100352.0 0.0 1536.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.9473388 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.4631133 0.0 4.22837 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -100160.0 0.0 1484.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 79.0 108264.0 1484.0 114688.0 0.0 0.0 0.0 0.0 12.0 122880.0 28.0 107952.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 8192.0 0.0 0.0 72.0 8200.0


Input: 0.7433036 0.0047433036 0.0041852677 0.0008370536 0.0041852677 0.00055803574 0.00055803574 0.0011160715 0.0050223214 0.00027901787 0.00055803574 0.0013950893 0.003627232 0.0008370536 0.0013950893 0.0 0.008091518 0.00027901787 0.0 0.00027901787 0.0013950893 0.0 0.00055803574 0.0011160715 0.00027901787 0.00027901787 0.0016741072 0.00027901787 0.00027901787 0.00027901787 0.0 0.00027901787 0.01171875 0.002232143 0.0 0.00055803574 0.0008370536 0.0025111607 0.00027901787 0.00027901787 0.0016741072 0.0 0.0 0.0 0.00027901787 0.0 0.0027901786 0.00027901787 0.0013950893 0.00055803574 0.0027901786 0.0008370536 0.00055803574 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.00055803574 0.0 0.00027901787 0.0 0.0 0.0025111607 0.001953125 0.00027901787 0.0011160715 0.0011160715 0.005301339 0.00055803574 0.00055803574 0.0008370536 0.0008370536 0.0 0.0 0.0013950893 0.0025111607 0.0008370536 0.0013950893 0.0033482143 0.0011160715 0.002232143 0.0013950893 0.0013950893 0.002232143 0.0027901786 0.001953125 0.0 0.0016741072 0.0013950893 0.0008370536 0.00027901787 0.0 0.0013950893 0.001953125 0.00027901787 0.0033482143 0.00027901787 0.0013950893 0.001953125 0.0075334823 0.00027901787 0.00027901787 0.001953125 0.0011160715 0.0033482143 0.00055803574 0.0055803573 0.0008370536 0.0027901786 0.002232143 0.0011160715 0.0 0.004464286 0.0025111607 0.005859375 0.006417411 0.00055803574 0.00055803574 0.0011160715 0.0008370536 0.0 0.0 0.0 0.00390625 0.0008370536 0.00027901787 0.0 0.00027901787 0.0 0.003627232 0.00027901787 0.0008370536 0.00055803574 0.0 0.0 0.0008370536 0.0008370536 0.005859375 0.0 0.0025111607 0.00055803574 0.00027901787 0.00027901787 0.0 0.00027901787 0.0 0.00055803574 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.0 0.00055803574 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.0 0.0011160715 0.0 0.00027901787 0.0 0.0008370536 0.0 0.0 0.0 0.00027901787 0.0 0.00027901787 0.00027901787 0.0016741072 0.0 0.0025111607 0.00027901787 0.00055803574 0.0 0.0 0.00055803574 0.0011160715 0.0 0.002232143 0.0 0.0011160715 0.0 0.00055803574 0.0008370536 0.0 0.002232143 0.00027901787 0.0 0.00027901787 0.00055803574 0.0 0.0 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.00055803574 0.00027901787 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00027901787 0.00027901787 0.00055803574 0.0 0.0 0.0 0.00027901787 0.00027901787 0.005301339 0.00027901787 0.0 0.0016741072 0.002232143 0.0 0.00027901787 0.0 0.0 0.0 0.00027901787 0.00027901787 0.0011160715 0.0 0.0 0.0 0.0011160715 0.0 0.0 0.0 0.0027901786 0.00055803574 0.0016741072 0.015625 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.704834 0.020019531 0.024169922 0.0061035156 0.024414062 0.03491211 0.033935547 0.03515625 0.028076172 0.0014648438 0.00390625 0.008544922 0.014404297 0.0014648438 0.018554688 0.040039062 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 25.0 10.44 261.0 0.03065134 0.0038314175 0.0 0.0 0.0 0.0038314175 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0038314175 0.0 0.03065134 0.0038314175 0.0 0.0 0.026819924 0.0038314175 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.007662835 0.026819924 0.0 0.01532567 0.007662835 0.01532567 0.0038314175 0.007662835 0.007662835 0.007662835 0.0 0.0 0.007662835 0.011494253 0.011494253 0.011494253 0.007662835 0.011494253 0.022988506 0.019157087 0.019157087 0.0 0.011494253 0.01532567 0.0 0.011494253 0.01532567 0.011494253 0.0038314175 0.0 0.011494253 0.022988506 0.0038314175 0.04597701 0.0038314175 0.01532567 0.026819924 0.10344828 0.0 0.0038314175 0.0038314175 0.011494253 0.0 0.007662835 0.053639848 0.011494253 0.038314175 0.03065134 0.007662835 0.0 0.06130268 0.03065134 0.053639848 0.019157087 0.0 0.0038314175 0.01532567 0.011494253 0.0 0.0 0.0 0.0 0.0 0.0 5.290996 0.0 0.0 0.0 1.0 3584.0 20480.0 0.0 0.0 8.0 1.0 0.0 0.0 0.0 0.0 1294145400.0 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 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 12.0 4.0 0.0 4.0 0.0 1024.0 1024.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -512.0 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 -512.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.4863 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 3.9224098 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.1646743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.5249753 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -52.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 307.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -302.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -566.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 51.0 8448.0 40.0 8228.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 16384.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 36.0 8192.0 0.0 0.0 0.0 0.0


Input: 0.1254492 0.0066870227 0.005454429 0.004422365 0.0058100363 0.003687087 0.0031496652 0.0028181216 0.0068447734 0.0025026202 0.0024117131 0.0023395221 0.005277962 0.0027699943 0.002732562 0.007868815 0.0058501423 0.002248615 0.002751278 0.0026443284 0.0045426837 0.004900965 0.0026015486 0.0021282968 0.0037913627 0.002310111 0.002360912 0.0027379093 0.0042619407 0.0020186733 0.0019571774 0.0022967423 0.0066950438 0.0028822913 0.0029758723 0.002620265 0.010138821 0.0020721483 0.0019331138 0.0018956814 0.0027379093 0.0017833844 0.0017165408 0.0026443284 0.0025507475 0.0023582382 0.0022619837 0.001663066 0.004117559 0.0027352355 0.0024865777 0.0055292933 0.0029063548 0.0032004663 0.0024865777 0.0021897927 0.0033501957 0.0035881586 0.002679087 0.0044437554 0.003593506 0.0040079355 0.0027753417 0.005534641 0.0050747576 0.0030373682 0.008398216 0.0022860474 0.007277919 0.0064731236 0.0030667793 0.002187119 0.00320314 0.0019999573 0.001970546 0.0017887318 0.0028715963 0.0037726467 0.0025400526 0.0020748219 0.0063929115 0.002577485 0.0021015594 0.004459798 0.0032913734 0.0032165088 0.00421114 0.0040079355 0.0037753202 0.00418975 0.0018823127 0.0018983551 0.0023903232 0.003192445 0.0027432567 0.002414387 0.0028101003 0.0035854848 0.0020694744 0.0027860366 0.0033528695 0.0049357233 0.003871575 0.002320806 0.0037325404 0.0034464505 0.004387607 0.0019063763 0.0037111505 0.0023742807 0.0034517979 0.0036951082 0.0038822698 0.0016684135 0.003943766 0.0036015273 0.010093367 0.00870837 0.002473209 0.0020721483 0.0028154477 0.002042737 0.0017940793 0.0015721589 0.0026336336 0.0031817502 0.0022459412 0.0029625036 0.0043688905 0.0026657183 0.002032042 0.008799277 0.0047993627 0.0063314154 0.0018662702 0.0017539732 0.002935766 0.006788625 0.002382302 0.015037112 0.002310111 0.0068073412 0.0017379307 0.0015641376 0.0025186627 0.001818143 0.0016202861 0.0016737609 0.0022405938 0.0016844559 0.0016256337 0.0015721589 0.0022673311 0.0017486257 0.0017406045 0.0018101217 0.0023368483 0.0017566469 0.0020373897 0.002876944 0.003521315 0.002671066 0.0019758935 0.001818143 0.00219514 0.0018849864 0.0017593206 0.0016256337 0.002371607 0.0017272357 0.0036951082 0.0025801586 0.0020266946 0.0015748326 0.0016924771 0.001796753 0.0022352464 0.0014839255 0.0017379307 0.0016336549 0.0020614532 0.0019224188 0.002692456 0.0017833844 0.0025534213 0.0017780368 0.002010652 0.0015694852 0.002598875 0.0023742807 0.0021603815 0.0025213365 0.006128211 0.0034143655 0.0029758723 0.0041416227 0.0037860153 0.0017726894 0.002700477 0.0037191717 0.002914376 0.0024839041 0.0021015594 0.0017325833 0.003120254 0.0017619944 0.0019384612 0.0017753631 0.0031657077 0.0022218777 0.002598875 0.0019946098 0.0028689227 0.001612265 0.0023475434 0.0019865886 0.0029010074 0.0024812303 0.0018475541 0.0027432567 0.0026871082 0.0023528908 0.0018930077 0.002010652 0.0038662276 0.0018769652 0.0019277663 0.0017512995 0.0030881693 0.0019357875 0.0020721483 0.0016764348 0.009604072 0.0029223973 0.0019678723 0.0045908107 0.0048314473 0.0017432782 0.0018716177 0.0020186733 0.00443306 0.0020373897 0.0030507369 0.0021523603 0.0027352355 0.0018529015 0.0036683707 0.0033234584 0.004505251 0.00223792 0.002010652 0.0023127848 0.0055827685 0.0040025883 0.0136948945 0.075853996 0.010989011 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0023354331 7.377876e-05 4.8291553e-05 1.341432e-05 7.243733e-05 2.2804345e-05 5.902301e-05 3.0852938e-05 1.4755752e-05 1.0731456e-05 9.390024e-06 5.365728e-06 9.390024e-06 9.390024e-06 6.70716e-06 2.5487208e-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 0.006166563 0.00016097185 0.00017572759 0.00048693983 0.0002387749 0.00011402172 0.00028974933 0.00015292325 7.243733e-05 4.024296e-05 5.231585e-05 4.2925825e-05 5.231585e-05 6.8413035e-05 4.4267257e-05 8.316879e-05 0.00496464 7.10959e-05 7.10959e-05 7.5120195e-05 0.0006318145 5.6340145e-05 3.7560098e-05 3.35358e-05 5.0974417e-05 0.00013548463 0.00021865341 7.10959e-05 6.573017e-05 0.00012743604 9.121738e-05 0.001539964 0.009394049 0.0003313337 0.0009819282 0.00017572759 0.0011361929 0.0003648695 0.0028746887 0.0014514294 0.0002602378 0.00024279919 0.0002562135 0.00035145518 0.00021462912 0.00018780048 0.00015828898 0.00084912643 0.0028424945 0.000109997425 0.00020792196 0.00013950893 0.00046279404 0.0002803593 0.0023676276 0.00113351 0.00018511762 0.00012609462 7.646163e-05 9.390024e-06 7.646163e-05 2.8170072e-05 3.35358e-05 0.00016231327 0.01761166 0.0066132597 0.0049968343 0.002543355 0.0041463664 0.0045622103 0.007926522 0.004999517 0.002505795 0.0031067566 0.0031872424 0.0020765366 0.0016606929 0.0017559344 0.0037586924 0.049427744 0.012616168 0.0021784855 0.0024172605 0.01103462 0.0021194625 0.0017049601 0.004652086 0.0031376095 0.0016714243 0.0013374077 0.001183143 0.0013803336 0.001322652 0.0010154641 0.0013642363 0.005809742 0.011954842 0.0024306749 0.0014447223 0.0036138177 0.0014983795 0.0013387492 0.002151657 0.0019732465 0.0023126288 0.0012528975 0.0010194883 0.0012435075 0.0014487465 0.001459478 0.002049708 0.009510753 0.030555138 0.005122929 0.006057907 0.005309388 0.0080043245 0.007105565 0.004210755 0.0071095894 0.015033429 0.0024092118 0.0020886096 0.0029350533 0.007654211 0.004607819 0.0065528955 0.017111307 0.054596283 0.011946794 0.012126545 0.011532291 0.019126138 0.017427884 0.00770921 0.01561561 0.030258682 0.002937736 0.006888253 0.0052289017 0.014404297 0.008481874 0.014050159 0.028658353 0.02439394 0.02048635 0.020495739 0.02084183 0.02070232 0.019914899 0.020247575 0.02013892 0.020022213 0.019779416 0.01998063 0.019833073 0.019630516 0.020030262 0.019753927 0.020671466 1765.0 11.070822 19540.0 0.044984646 0.0026612077 0.003480041 0.0044012284 0.0069089048 0.0028659161 0.0033265096 0.0045035826 0.0047594677 0.002814739 0.0019959058 0.0036847491 0.0037871033 0.0068577277 0.0060388944 0.0025588537 0.013561924 0.009467758 0.008853634 0.00926305 0.00926305 0.0059877173 0.008444217 0.007011259 0.009570112 0.0100818835 0.008955988 0.0057318322 0.009672467 0.008290686 0.010030706 0.012077789 0.010030706 0.008955988 0.0045547592 0.00839304 0.008341863 0.0061924257 0.0073694983 0.0074718525 0.009416581 0.0064483113 0.002814739 0.0029170932 0.007062436 0.005629478 0.0047594677 0.004810645 0.013357216 0.003480041 0.0061924257 0.01975435 0.0075742067 0.0039918115 0.0147389965 0.012384851 0.00419652 0.0032241556 0.002814739 0.00296827 0.0053224154 0.0025076766 0.0026612077 0.005527124 0.0051177074 0.035823952 0.008597748 0.022671442 0.019396111 0.05522006 0.008546571 0.013101331 0.013510747 0.0363869 0.0057830093 0.0045547592 0.02691914 0.011770727 0.033828046 0.034390993 0.014124872 0.00296827 0.033674512 0.031320367 0.04861822 0.02047083 0.0073694983 0.005578301 0.0058853636 0.0080348 0.0039918115 0.0020470829 0.0036335723 0.0023029682 0.0025076766 0.0040941657 6.0419803 0.0 0.0 0.0 5.0 374008.0 401408.0 0.0 1.0 168.0 1.0 1.0 0.0 0.0 0.0 1468264600.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 9.0 0.0 5.0 0.0 5.0 0.0 131584.0 1024.0 4096.0 7.0 0.0 0.0 1.0 3.0 -1024.0 0.0 0.0 0.0 0.0 -13824.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41984.0 0.0 0.0 0.0 -8704.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -118784.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131584.0 0.0 56832.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.229013 0.0 0.0 0.0 0.0 -4.9343777 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.1077304 0.0 0.0 0.0 -7.727069 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.894218 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.696576 0.0 5.4153543 0.0 0.0 0.0 0.0 0.0 0.0 -521.0 0.0 0.0 0.0 0.0 -13740.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 41695.0 0.0 0.0 0.0 -8200.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -126092.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -131306.0 0.0 56820.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -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 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 -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 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 63.0 180896.0 200.0 176908.0 56820.0 327680.0 0.0 0.0 0.0 0.0 8348.0 385024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 171192.0 0.0 0.0 708.0 139264.0 0.0 0.0 0.0 0.0


Input: 0.5599653 0.0029957206 0.002186361 0.0017913743 0.0028091318 0.0016453746 0.0015654078 0.0017120134 0.0034125166 0.0015260304 0.0015211839 0.0014490928 0.0026243604 0.0015593498 0.0014018397 0.0031477783 0.0025322775 0.0014460637 0.0014291011 0.001385483 0.0018598306 0.0016453746 0.001378819 0.0013939642 0.0017804697 0.0014212256 0.0013879061 0.0013860887 0.0014872586 0.0013909352 0.0013830597 0.0014060803 0.0020330916 0.0013182382 0.0013673087 0.0013539809 0.0019046604 0.0013830597 0.0013364125 0.0013891178 0.0014678728 0.0012855246 0.0013024872 0.0015950925 0.0013909352 0.0018574074 0.001381848 0.0012582632 0.0018119718 0.001618719 0.0015345117 0.0023687093 0.0015769182 0.0014527276 0.0014018397 0.0014418231 0.0015423872 0.0015708602 0.0014902877 0.002088826 0.0017689593 0.001770171 0.0014527276 0.0022069586 0.002060353 0.0017683535 0.0018889094 0.0014181965 0.0015738892 0.0047186385 0.0015108852 0.0014194081 0.0016938392 0.0013812423 0.0014321301 0.0013539809 0.0015042212 0.003622732 0.001407292 0.0013491344 0.0026516216 0.0019961374 0.0016120551 0.0016308351 0.0015678311 0.0032319857 0.0017974323 0.0020112826 0.0028975797 0.0025977048 0.001321873 0.001401234 0.0014151675 0.0019325275 0.001584188 0.001590246 0.0014157733 0.001804702 0.0013618564 0.0015551092 0.0018404447 0.002085797 0.0020591414 0.001360039 0.0018071253 0.0017083785 0.0019143533 0.00137579 0.0018870919 0.0014721134 0.00175442 0.0017519967 0.0016175073 0.0012958234 0.0019397972 0.0018677061 0.002975123 0.0028751648 0.0013939642 0.0014339476 0.0014951342 0.0013969933 0.0013370182 0.0012885536 0.0013975991 0.0014775657 0.0013969933 0.001423043 0.0017326109 0.0014521218 0.001287342 0.0034512882 0.0016290178 0.0029260525 0.001227367 0.0012837072 0.0016490094 0.004269129 0.0014472753 0.009041078 0.001385483 0.0030968904 0.0012837072 0.0012376658 0.0014157733 0.0012764374 0.0012200973 0.0013212672 0.0013303544 0.0016169016 0.0012528109 0.0012328193 0.0013691261 0.0012570516 0.0012043463 0.0012685619 0.0013412589 0.0012970349 0.0012328193 0.0013067279 0.0014606031 0.0014963457 0.001306122 0.0013957816 0.0013866945 0.0012934001 0.0012503878 0.0012443296 0.0014145616 0.0013012756 0.0012443296 0.0012237321 0.0014085036 0.0012655329 0.0012612923 0.0012376658 0.0014418231 0.0012110102 0.0012758316 0.0012618981 0.0014236488 0.0012952175 0.0018059136 0.0013606448 0.0015878228 0.0013412589 0.001347317 0.0012200973 0.0014818064 0.0014163791 0.0014551508 0.0014908935 0.0027055386 0.0017265528 0.0016235654 0.0020682286 0.0019416147 0.0013679145 0.0016726359 0.0021827263 0.0017338225 0.001621748 0.0013115744 0.0013436822 0.004501759 0.0013709435 0.0013539809 0.0013382299 0.0016132668 0.0014145616 0.0015078561 0.0013352009 0.001574495 0.0012540226 0.001321873 0.0012734084 0.0016938392 0.001366097 0.0013333834 0.0013388357 0.0014733251 0.0013957816 0.0012661387 0.0012849187 0.001722918 0.0012921884 0.0012867362 0.0013036989 0.0015860053 0.0015448104 0.0013230847 0.0013461054 0.0039837933 0.0017313992 0.0012849187 0.0021070002 0.0025825596 0.0012443296 0.0013085452 0.001391541 0.0024195972 0.0013824538 0.0013848771 0.0013963875 0.0018610422 0.0013012756 0.0015793415 0.0016320468 0.0021403197 0.0013879061 0.0013969933 0.0013770016 0.0024462526 0.0015599557 0.0022863194 0.010287225 0.5276226 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019582775 3.8189595e-05 0.00015003055 1.0305129e-05 5.1525643e-05 5.243492e-05 0.00046100296 0.00024550455 5.1525644e-06 1.2729865e-05 4.2432885e-06 1.3032957e-05 7.5773005e-06 1.9700981e-05 7.5773005e-06 6.637715e-05 0.0044093826 6.425551e-05 0.000316125 2.7278282e-05 0.0003728032 0.00035188984 0.0008368371 0.0004485762 2.6672098e-05 4.1220515e-05 2.4550454e-05 2.4247362e-05 0.000107294574 4.8191632e-05 3.728032e-05 0.0003121848 0.0029784853 0.00012093372 0.00019064489 5.879985e-05 0.00020489021 0.00021913553 0.00046615553 0.00022671283 4.1523606e-05 4.2735974e-05 2.091335e-05 2.6065914e-05 3.273394e-05 4.2735974e-05 3.9705053e-05 0.00025368802 0.004514556 0.0002282283 0.00042099482 0.00017336864 0.00045130402 0.00067831995 0.0014572664 0.0007604579 8.395649e-05 5.1525643e-05 5.546584e-05 6.0012222e-05 9.789872e-05 5.0616367e-05 8.4865766e-05 0.00014215017 0.0027323747 0.0001864016 0.0003603764 0.00014639345 0.0002773292 0.0005443533 0.0008313814 0.0005328358 4.485762e-05 3.879578e-05 5.1222552e-05 4.7282356e-05 5.4253473e-05 5.3344196e-05 6.1224586e-05 0.00024489834 0.002559006 0.00039705055 0.00035795168 0.0030803243 0.00038310833 0.00038492688 0.00064467674 0.00044827312 0.00030218274 0.0002624777 0.00024702 0.0002467169 0.00032158065 0.00026429625 0.0002512633 0.00040159692 0.0037710709 0.0006189139 0.0003049106 0.0007037797 0.0016942844 0.0013481533 0.00036734753 0.00044554527 0.0032258085 0.00024974783 0.00022246955 0.00030066728 0.0016976184 0.00030218274 0.0010362717 0.0023332024 0.015597722 0.002502631 0.0013584584 0.002134677 0.0059333295 0.005767538 0.0020501146 0.00271722 0.011837562 0.0008238041 0.0008850287 0.0015400106 0.005928177 0.0015748661 0.0045030382 0.009333719 0.005585986 0.0013293616 0.0008635092 0.0012241887 0.0015294023 0.0024841423 0.000952012 0.0016036599 0.0035789106 0.000276723 0.00042645048 0.00069499 0.0023292622 0.00097050064 0.0018870509 0.003438276 0.019662187 0.019223005 0.019298172 0.019425774 0.019208761 0.019410012 0.019084493 0.019186331 0.019264529 0.019147232 0.019256042 0.019467298 0.019295445 0.01912723 0.019122683 0.019324845 3272.0 8.22555 26914.0 0.025637215 0.0059448616 0.0067994352 0.0052017537 0.009957643 0.005870551 0.0061306385 0.007431077 0.006390726 0.0054618414 0.0059448616 0.005350375 0.0066136583 0.005907706 0.009771866 0.0059448616 0.0128186075 0.01304154 0.011592479 0.011592479 0.01263283 0.01062644 0.009994798 0.009548933 0.009474623 0.010997994 0.010775061 0.011518169 0.0144906 0.012669986 0.009957643 0.014193357 0.015976815 0.008620049 0.0061677936 0.009623244 0.008397116 0.008359961 0.008434272 0.0062421043 0.007951252 0.006836591 0.0056476183 0.0063535706 0.009771866 0.0055733076 0.00627926 0.006836591 0.012744296 0.006093483 0.007616854 0.0104406625 0.01014342 0.0069480566 0.0104406625 0.009474623 0.008285651 0.0059820167 0.006204949 0.0058333953 0.0072081443 0.005907706 0.0060563274 0.010997994 0.00917738 0.023259271 0.010366352 0.017128631 0.016757078 0.035520546 0.009883332 0.00876867 0.0104406625 0.02036115 0.0073196106 0.006502192 0.01876347 0.010886528 0.020398306 0.027717916 0.012892918 0.0062421043 0.026454633 0.019395111 0.030838968 0.012447054 0.00869436 0.0066136583 0.009511778 0.009623244 0.0059820167 0.0055733076 0.007802631 0.0052389093 0.0053875307 0.006316415 6.4013877 0.0 0.0 0.0 9.0 1650688.0 1662976.0 1.0 0.0 75.0 1.0 1.0 0.0 1.0 0.0 1542089300.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 14.0 15.0 6.0 0.0 6.0 0.0 1564672.0 1024.0 4096.0 5.0 0.0 0.0 1.0 2.0 0.0 0.0 0.0 0.0 0.0 -10752.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 67072.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4608.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1564672.0 0.0 2560.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.5534873 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.21743 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.8577151 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.369978 0.0 3.9730463 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 66788.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8068.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1564330.0 0.0 2456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1633820.0 2456.0 1646592.0 0.0 0.0 0.0 0.0 10568.0 1650688.0 28.0 1622032.0 0.0 0.0 0.0 0.0 24.0 1622224.0 64.0 1622064.0 0.0 0.0 304.0 1568768.0 0.0 0.0 0.0 0.0


Input: 0.14821158 0.012905296 0.006491234 0.005512011 0.010113255 0.0035244385 0.003377959 0.0038548147 0.010180648 0.0022862717 0.0022331222 0.0020460368 0.0067123356 0.0027116789 0.0017128966 0.008474767 0.00771622 0.0018228095 0.0014107958 0.001478827 0.0047417707 0.0019393128 0.001462457 0.0012666549 0.0035867295 0.0015921413 0.0013748669 0.0012073403 0.0027242221 0.0009841131 0.0010451284 0.0014250398 0.012593628 0.0012358283 0.0018419432 0.0016091492 0.00894482 0.0015955429 0.0010666008 0.0011524901 0.0023889563 0.001289828 0.0010461914 0.00212406 0.0023368697 0.0018276992 0.0024010742 0.0012405054 0.004444347 0.0025441523 0.003011441 0.0061123855 0.0031798182 0.0022669253 0.0022397127 0.0022329097 0.0031632357 0.0029283157 0.0027357023 0.0045504333 0.002753348 0.002269689 0.0018478959 0.002617073 0.0055596326 0.0030392914 0.0020279658 0.002543727 0.0046295193 0.009887476 0.004249608 0.0025071602 0.0024954674 0.0015764092 0.001008987 0.0012249858 0.002424885 0.006628785 0.002262886 0.0016429521 0.008457547 0.0030867006 0.0019391002 0.0040280814 0.0024992942 0.004348891 0.0058559934 0.004049129 0.0017286289 0.004044026 0.00091778266 0.0023872554 0.0029551028 0.0046786293 0.0038892555 0.004249183 0.0017271407 0.0060120397 0.0024404046 0.0040323334 0.005638719 0.010417694 0.0031124249 0.0021100284 0.005907442 0.007218317 0.0069534206 0.0018070773 0.0057830727 0.0030924408 0.0069899876 0.0063037234 0.0040112864 0.0010053727 0.0077857394 0.006262267 0.015606983 0.011161785 0.0027008364 0.00310711 0.002547979 0.002365783 0.0019348483 0.0010746795 0.002306681 0.0034521555 0.0018000616 0.0013066232 0.003963877 0.002677876 0.0017528649 0.013618347 0.0043153004 0.00861742 0.0014934962 0.0020539027 0.0029098196 0.01235403 0.0021159812 0.033943288 0.00151263 0.012504974 0.0010251444 0.0010019712 0.0015447321 0.0010098373 0.0008038305 0.0012194583 0.0016199916 0.0012704816 0.0008763262 0.0009779477 0.0014054809 0.001382733 0.0011359075 0.00077576766 0.0015185827 0.0009851761 0.000810421 0.0009256488 0.0017535028 0.0016782433 0.0007347364 0.0011684349 0.0014141974 0.0012188205 0.0008512397 0.0007608858 0.0015604644 0.00083189335 0.0007158152 0.000893334 0.0012579383 0.00088738126 0.0007404765 0.0008048935 0.0020415722 0.000859531 0.00093606603 0.0010113255 0.0014588429 0.001196923 0.0017994238 0.0011367579 0.005519877 0.0015594014 0.0011295296 0.0009877272 0.0015821493 0.0011142226 0.0013888984 0.0010967896 0.00753126 0.003794012 0.0027954422 0.0048423293 0.00580986 0.0009817744 0.0034980765 0.0047360305 0.0030275986 0.0021223591 0.0011422854 0.0013013083 0.008645696 0.0008025549 0.0020473122 0.00154537 0.004227498 0.0020809027 0.0013491426 0.0009396802 0.0014569295 0.0008095706 0.0015394172 0.0013057728 0.002449759 0.0011380335 0.0007946888 0.001546433 0.0014873309 0.00078703533 0.0008023423 0.0007566339 0.004621228 0.0009373416 0.0008155233 0.0019996904 0.0020441234 0.002382791 0.0011892695 0.0010534198 0.017790144 0.0036806974 0.0011165611 0.0041943328 0.0056140576 0.0012911035 0.0011450492 0.001140372 0.004605921 0.0016412514 0.0012838752 0.0014033549 0.0024995068 0.0008397594 0.0023090197 0.0015821493 0.0036945164 0.0020755876 0.0015255985 0.0018321638 0.005545176 0.00359332 0.003644131 0.046079833 0.003693584 4.253321e-07 4.253321e-07 4.253321e-07 1.06333026e-07 0.0 0.0 8.506642e-07 2.1266605e-06 2.1266605e-07 0.0 1.06333026e-07 2.1266605e-07 0.0 4.253321e-07 3.1899908e-06 0.00020788106 1.06333026e-07 0.0 1.06333026e-07 0.0 0.0 0.0 0.0 8.825641e-06 0.0 0.0 0.0 2.1266605e-07 0.0 1.06333026e-07 5.3166514e-07 0.0003927942 5.3166514e-07 1.0633303e-06 2.9773246e-06 5.3166514e-07 2.4456597e-06 1.0633303e-06 2.2329934e-06 1.2759963e-06 1.0633303e-06 3.1899907e-07 5.3166514e-07 1.06333026e-07 3.1899907e-07 9.569973e-07 2.7327587e-05 0.003089187 5.954649e-06 4.678653e-06 3.9343217e-06 5.8483165e-06 3.2963237e-06 3.4026568e-06 3.9343217e-06 7.5496446e-06 3.6153228e-06 1.49929565e-05 3.6153228e-06 3.6153228e-06 2.3393266e-06 3.5089897e-06 0.0009781575 0.0017755488 7.2306457e-06 1.9777943e-05 5.8483165e-06 1.6056287e-05 3.6153228e-06 4.359654e-06 3.721656e-06 3.094291e-05 7.655978e-06 1.5843621e-05 3.2963237e-06 2.6583257e-06 9.995304e-06 4.8913193e-06 0.00048402793 0.0025173281 5.6462835e-05 3.551523e-05 1.9458943e-05 5.5399505e-05 2.1372938e-05 4.6892863e-05 3.1155578e-05 6.784047e-05 1.7013284e-05 3.4664565e-05 9.782639e-06 8.825641e-06 4.0938216e-05 1.6694285e-05 0.00050497556 0.006798296 0.00023956831 0.00063480815 0.00011175601 0.0002597716 0.00023127433 0.0018543416 0.0010181387 0.0001033557 0.00012313364 0.00013312895 6.698981e-05 7.028613e-05 0.00010314304 0.00011685999 0.0012013505 0.023060868 0.00062832184 0.0032563426 0.0006687284 0.00089298474 0.0008737385 0.008654552 0.005135566 0.0009454069 0.00071455794 0.0005018919 0.0012215538 0.00042650176 0.0016170063 0.00042554477 0.0036767833 0.021347312 0.00081291597 0.0049743652 0.001623599 0.0012028392 0.0022477738 0.015860422 0.008729409 0.0023421976 0.0011840182 0.0011960339 0.0030721738 0.0005216698 0.0011487156 0.002847173 0.0025357236 0.012423312 0.0007633648 0.0031355482 0.0011865703 0.0020004432 0.001615305 0.009723517 0.0050281696 0.0020525465 0.00090872205 0.0009799652 0.0014733503 0.00029826415 0.00070115994 0.0018664636 0.0011394647 0.01169961 0.0009424296 0.0035774682 0.0025953765 0.0037214432 0.0022656377 0.010412236 0.005155344 0.0015030173 0.0014517648 0.000807493 0.00079228735 0.00034632665 0.00063597783 0.0015240712 0.00047892393 0.00802389 0.0015366186 0.0025534811 0.016663767 0.0021847184 0.002050526 0.004508095 0.0030203895 0.0020093753 0.0015568219 0.0015446999 0.0018401993 0.0012815256 0.0013538321 0.0020628606 0.0015983981 0.009216734 0.0013687187 0.0020270264 0.0017772502 0.001810107 0.0017569406 0.0022991328 0.0017890531 0.0033591667 0.0007585798 0.0006932913 0.0010830018 0.0016193456 0.0007358245 0.0014753707 0.0026381223 0.06844774 0.013041108 0.009968402 0.010200208 0.019138243 0.022231683 0.010494113 0.017034976 0.04800904 0.0037293117 0.0036221282 0.0054617957 0.024120903 0.006090543 0.017973153 0.034896586 0.05254191 0.0122105405 0.010254438 0.009560189 0.018218463 0.021714905 0.011160183 0.017086867 0.04130177 0.0036007552 0.0037189976 0.005533358 0.021694914 0.0067459797 0.018434638 0.029758679 0.0048957854 0.004174103 0.00426321 0.0044916132 0.0042167422 0.004113706 0.0045455243 0.0044099498 0.004148902 0.0042060027 0.0040137526 0.004264167 0.004244602 0.004292664 0.0042761825 0.004258425 26939.0 21.130518 569235.0 0.066912614 0.0017040414 0.004929423 0.0015055294 0.007195622 0.0051173945 0.0014932321 0.002619305 0.003325516 0.0018006623 0.0009205337 0.0010540462 0.00486618 0.007929941 0.012146126 0.002390928 0.0093862815 0.008683584 0.010280464 0.008019535 0.009345876 0.007362513 0.0066527883 0.0063365744 0.007258865 0.006907516 0.009275607 0.005133205 0.00593955 0.0052737445 0.00448321 0.0074556204 0.014152328 0.0076067 0.00410024 0.0054459055 0.0071534603 0.00623644 0.003481866 0.0020799846 0.00425132 0.004778343 0.00061486027 0.001178775 0.004119564 0.0026649802 0.0034028126 0.0026263318 0.007912373 0.00189904 0.004174023 0.0079844 0.007882509 0.0033132187 0.005681309 0.0031305172 0.0027088989 0.0013474224 0.00085553416 0.0014967456 0.011165863 0.0023487664 0.0015916098 0.011803561 0.0017110683 0.04177361 0.013356523 0.026393317 0.02711534 0.07241824 0.009890467 0.0104684355 0.010840866 0.04158388 0.0049645575 0.0047730724 0.027050339 0.014024085 0.044471968 0.04498845 0.01916256 0.0019833636 0.048340317 0.03552663 0.051836237 0.018858643 0.006949678 0.0051911776 0.005119151 0.007585619 0.00425132 0.0015090428 0.001856878 0.0016583661 0.000822156 0.0006289142 5.704292 0.0 109.0 0.0 12.0 4703728.0 5079040.0 1.0 0.0 401.0 1.0 1.0 1.0 1.0 0.0 1527793200.0 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 14.0 13.0 6.0 0.0 6.0 0.0 2783744.0 1024.0 4096.0 5.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 -147456.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1036288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -184320.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2783744.0 0.0 540672.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.6178555 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.951271 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.4234147 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.700677 0.0 7.219982 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -147380.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1035868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -562676.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2783404.0 0.0 540284.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 0.0 -2.0 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 -1.0 0.0 0.0 -1.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 1.0 1.0 0.0 -1.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 0.0 -1.0 2.0 -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 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 -1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 -1.0 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 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 1.0 2.0 0.0 -1.0 0.0 0.0 -2.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 -2.0 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 -1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 1.0 1.0 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 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 1.0 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 1.0 -1.0 0.0 1.0 1.0 -1.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 -3.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -2.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 2.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 2.0 0.0 1.0 0.0 1.0 1.0 0.0 0.0 0.0 -1.0 0.0 -2.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 2.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 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 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 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 1.0 -1.0 0.0 -2.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -1.0 0.0 -1.0 -2.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 1.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 2.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 2.0 -1.0 0.0 0.0 0.0 0.0 2.0 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 1.0 -1.0 0.0 0.0 -1.0 0.0 -1.0 1.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -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 0.0 -2.0 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 0.0 -1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 1.0 -1.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 -1.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -2.0 0.0 -1.0 1.0 0.0 0.0 0.0 2.0 1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 -1.0 1.0 0.0 0.0 0.0 3.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -3.0 0.0 -1.0 1.0 0.0 0.0 0.0 -1.0 1.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 -1.0 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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 3815836.0 540284.0 4390912.0 0.0 0.0 10224.0 4693504.0 147380.0 4931584.0 84.0 3600896.0 0.0 0.0 0.0 0.0 24.0 3601144.0 64.0 3600984.0 0.0 0.0 1736.0 2789376.0 0.0 0.0 0.0 0.0


Input: 0.23572038 0.018073987 0.012102605 0.018658837 0.015940625 0.014996365 0.013453395 0.017424462 0.021821462 0.007015427 0.011698846 0.005055764 0.012958167 0.0018460191 0.0011271988 0.003984925 0.0061062765 0.002054828 0.0011696998 0.0016464494 0.0030231103 0.00291963 0.0014792175 0.000722516 0.0019809133 0.0007622451 0.0006273508 0.0007825717 0.0017591694 0.0014034549 0.00067169964 0.0005608276 0.0047822795 0.0009433361 0.0007807238 0.00082692044 0.0049125543 0.0013535626 0.0011900263 0.00056452333 0.001249158 0.0005626755 0.00060610037 0.0012020374 0.0010662193 0.0007668648 0.0014200858 0.0019467279 0.003778888 0.0011429057 0.0007964307 0.0036171996 0.001514327 0.0010098593 0.0006901783 0.0006846347 0.0012814958 0.001708353 0.0018811285 0.0027403866 0.0008860522 0.0013101377 0.0006153397 0.0005432729 0.004956903 0.002793975 0.0013101377 0.002177711 0.0037862794 0.009336348 0.0027985945 0.0011244271 0.0017203641 0.0012149726 0.000500772 0.00043886842 0.0016362861 0.005861434 0.0012426905 0.0007289835 0.007124451 0.003066535 0.0029418042 0.0038491068 0.0017194402 0.004544829 0.0040588398 0.0033418674 0.0012066572 0.002333856 0.0007862674 0.0013914438 0.0014228575 0.0025251103 0.0025251103 0.0023301602 0.0012269836 0.004475534 0.001778572 0.0032596374 0.0038712814 0.00872378 0.0032393108 0.0017841156 0.0037908992 0.005528818 0.0036707877 0.0015965571 0.0043314 0.0023902159 0.0042962907 0.005417946 0.003445348 0.00078164774 0.0062596495 0.004815541 0.011360686 0.008593505 0.001805366 0.0016981898 0.0020326537 0.0016723196 0.00081213756 0.0008638778 0.00194488 0.0028568024 0.001445956 0.0009082266 0.003126591 0.0020169467 0.0016750915 0.0071623325 0.0027311475 0.0055223503 0.0011512211 0.0008361598 0.0014736739 0.0068694456 0.00089529157 0.023922486 0.0013221488 0.007141082 0.00071604847 0.0007825717 0.0023070618 0.0006624603 0.0006125679 0.0007659409 0.0010329576 0.0008444752 0.0011271988 0.0007668648 0.0010532842 0.00084817095 0.0006171876 0.00058577384 0.0009839891 0.00070218946 0.0006439816 0.0006606124 0.0010588277 0.0013489429 0.0008758889 0.0010089354 0.0009692062 0.0009331728 0.0006726236 0.00067169964 0.0011179595 0.0006513731 0.000888824 0.0008444752 0.001069915 0.00081121357 0.0008426273 0.0008389316 0.0012814958 0.0007751802 0.0008518667 0.00079827855 0.0010024678 0.0008851283 0.00084539916 0.00097290194 0.0016436777 0.0007040373 0.00069202617 0.0008167572 0.0009950764 0.0008684975 0.0008731171 0.00087773683 0.0057533337 0.0021453735 0.0027551695 0.002444728 0.0021001007 0.0007493101 0.0022109728 0.004178027 0.0015688391 0.0019088465 0.0009747498 0.0008259965 0.0074469037 0.00073452713 0.0012620931 0.0009350207 0.0013812806 0.0013129095 0.0011318185 0.00090730266 0.001013555 0.00055343617 0.0010717629 0.0008038221 0.0014524234 0.0007105048 0.00066892785 0.0010292619 0.0011235031 0.0005377293 0.00070496125 0.0006273508 0.0016335144 0.00071882026 0.00064767734 0.00056175154 0.0013757369 0.000916542 0.00058946956 0.00058946956 0.008906718 0.0023791287 0.0007539297 0.0029916966 0.0034111624 0.00055620796 0.0006957219 0.000902683 0.0028808245 0.0011493732 0.00070773304 0.0012768761 0.0024391843 0.0010495884 0.001500468 0.0015383492 0.0038574224 0.0009618148 0.0007105048 0.0010505124 0.0060083396 0.0013683455 0.0024003792 0.09399915 0.034077402 2.0364336e-05 4.6282582e-07 0.0 1.8513033e-06 2.3141292e-06 1.38847745e-05 6.016736e-06 0.0 0.0 0.0 4.6282582e-07 4.6282582e-07 0.0 0.0 0.0 0.0035836603 0.00010089603 9.2565165e-07 4.6282582e-07 0.0 0.0 4.6282582e-07 0.0 1.3884775e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.00010367299 0.006860467 0.0001721712 5.1836494e-05 6.7109744e-05 0.00016337752 3.0546504e-05 6.849822e-05 4.8596714e-05 2.8232376e-05 1.2496297e-05 1.2496297e-05 5.55391e-06 1.1570646e-05 1.0644994e-05 1.3421949e-05 2.5918247e-05 0.008042987 0.0006109301 0.00027676983 6.80354e-05 7.127518e-05 3.424911e-05 7.4052135e-05 4.9059538e-05 4.9059538e-05 2.8232376e-05 2.7769549e-05 2.8695202e-05 3.3786284e-05 1.897586e-05 3.1472155e-05 3.332346e-05 0.016025808 0.0005229932 0.00043829606 0.00032536656 0.0003748889 0.0005646475 0.00045819758 0.00053826644 0.00013745927 2.3141292e-05 5.6927576e-05 4.6282585e-05 8.60856e-05 4.8596714e-05 4.30428e-05 0.00021521401 0.011772438 0.00033925133 0.00017679947 0.00016615447 0.0001791136 0.00017031991 0.0008154991 0.0003475822 0.0002614966 0.00012403732 6.98867e-05 8.3771476e-05 6.849822e-05 7.266366e-05 0.00014579014 0.00037257478 0.02670968 0.0008974193 0.00042255997 0.00026751333 0.00044523846 0.0017392995 0.004855043 0.0007701422 0.00021891661 0.00016291469 0.00013514514 0.00014486449 0.00016893142 0.00012912841 0.00014764143 0.006387459 0.063771844 0.00079189497 0.0015537064 0.0006363855 0.0021169654 0.0022497964 0.0102104 0.008348452 0.0017573497 0.00016430317 0.0009640662 0.0013070202 0.0013463603 0.0013468232 0.0018189055 0.021994872 0.0927901 0.0016851488 0.0028190722 0.0016782065 0.0036956642 0.0018374185 0.0108278105 0.007550078 0.003520716 0.005126259 0.005412748 0.004450533 0.0040224195 0.0027431687 0.0022044394 0.034470342 0.017471213 0.00051975343 0.0013639478 0.00071784284 0.0018476007 0.0012824903 0.0067910436 0.0037771217 0.00095064426 0.00062990596 0.00044153584 0.00036470676 0.0005882516 0.00032721786 0.00048504147 0.0022521105 0.018405657 0.0011621556 0.0012834161 0.0011991818 0.0024381664 0.0016643216 0.004895309 0.0033096676 0.0016573793 0.0006225007 0.000526233 0.00045588345 0.0011741892 0.000433205 0.0005285471 0.0028982153 0.013541821 0.0008030028 0.00096869445 0.0012001074 0.0018124259 0.0012996149 0.002938944 0.0016541395 0.002102155 0.00071228895 0.00040358413 0.0003924763 0.0013796838 0.00051975343 0.00051512517 0.0029315387 0.01425411 0.0013755184 0.0009242632 0.0010209938 0.003826644 0.0028311056 0.0016819091 0.0017027362 0.0063333088 0.00064703054 0.00046791692 0.00046513995 0.0036637292 0.00072478526 0.0020322683 0.005441906 0.054527827 0.010495964 0.006832235 0.008202199 0.0155981565 0.020370353 0.007540358 0.013398345 0.033415563 0.0029930947 0.0028079643 0.0037998 0.015598619 0.0046865745 0.0125416545 0.029845323 0.028789617 0.0075528547 0.0064531807 0.0076949424 0.008592824 0.01064268 0.007105302 0.009032509 0.016505757 0.0026797615 0.0029324645 0.0030254924 0.009580495 0.0036785398 0.006866947 0.015786063 0.0013796838 0.00056835014 0.00055446534 0.00088631146 0.0004494039 0.00045449496 0.0010672763 0.0007544061 0.00042348565 0.00025547986 0.0003281435 0.0002813981 0.00028972898 0.0002707531 0.0002527029 0.00031472158 3415.0 14.591508 49830.0 0.031988762 0.010234798 0.0048966487 0.0028697571 0.0071643586 0.0036925548 0.001725868 0.0031507125 0.002849689 0.0030704394 0.0020870962 0.003371463 0.0030905078 0.004756171 0.010254866 0.0059201284 0.021171985 0.013425647 0.0058599235 0.006742926 0.0035922136 0.0023479832 0.0032711218 0.003130644 0.0046959664 0.0057595824 0.0039534415 0.0038531006 0.003130644 0.0030102348 0.0020870962 0.0027894843 0.00760586 0.013144692 0.0033513948 0.014328717 0.022657033 0.0072044954 0.006863335 0.0087497495 0.004334738 0.0076459963 0.0016656632 0.0022677102 0.0059803333 0.00987357 0.0047762394 0.003732691 0.012020871 0.0045554885 0.026128838 0.017639976 0.00760586 0.0045554885 0.011699779 0.012883805 0.0035922136 0.002849689 0.0027292795 0.0015251857 0.0039935783 0.0019265503 0.0014248445 0.010274935 0.0021473009 0.029680915 0.006060606 0.028015252 0.020028096 0.059321694 0.010997391 0.011378688 0.012542645 0.041019466 0.003110576 0.0035721452 0.024784267 0.014629741 0.0320289 0.05073249 0.018964479 0.00082279753 0.046819184 0.032048967 0.05697371 0.012101144 0.0052378085 0.008488862 0.005177604 0.008870158 0.0016455951 0.00046156935 0.0039534415 0.0005017058 0.0072245635 0.001123821 5.8594923 0.0 41.0 5.0 18.0 1082329.0 339968.0 1.0 0.0 105.0 0.0 1.0 1.0 0.0 0.0 1161596900.0 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 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 8.0 0.0 4.0 0.0 4.0 0.0 12288.0 4096.0 4096.0 4.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 20480.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12288.0 0.0 299008.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 4.1857524 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.768358 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.391288 0.0 5.106776 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 16418.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1868.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -10766.0 0.0 298600.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 140.0 29444.0 298600.0 40960.0 0.0 0.0 5744.0 339968.0 0.0 0.0 28.0 16864.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 27656.0 0.0 0.0 444.0 16384.0 0.0 0.0 0.0 0.0