Input: 0.07643414 0.0121754045 0.013959444 0.006364781 0.009602711 0.004319091 0.0071552875 0.0044462136 0.004472132 0.0030620557 0.009824866 0.0032299072 0.0032490373 0.0031922641 0.0033922049 0.0038994618 0.0028139811 0.0044912617 0.0042672544 0.003253974 0.0028824792 0.003386651 0.0034409557 0.0036452163 0.0037371642 0.0034372532 0.0030490966 0.0032416321 0.0033724576 0.0033687549 0.003691499 0.0049763033 0.004804749 0.0026597057 0.0026140404 0.0032564425 0.0018852439 0.0028985238 0.0023480698 0.0028102784 0.004912125 0.0025430736 0.0031996693 0.003258911 0.0031034015 0.0028664346 0.004575188 0.0036594095 0.0036853277 0.0034440414 0.0031472156 0.0032786583 0.002472107 0.0025782485 0.0031589405 0.0030231783 0.003247186 0.0038278783 0.0038470083 0.0030416914 0.0038649042 0.0036291715 0.004167284 0.0046856487 0.0034465096 0.0031774535 0.0024980253 0.0035359894 0.0024659361 0.002715245 0.0037624654 0.0035538853 0.0022567387 0.002874457 0.0020672886 0.0030299665 0.00266094 0.00255665 0.003283595 0.0037285248 0.0027911484 0.0026874754 0.0025011108 0.003424294 0.002490003 0.0021765155 0.0024381664 0.002875074 0.002361029 0.0029775128 0.0022419284 0.0030892082 0.0029991113 0.0028682859 0.003283595 0.005253999 0.003120063 0.004712801 0.0027430144 0.004706013 0.003740867 0.007948879 0.0027349922 0.0044813883 0.0030126877 0.005286705 0.0022480993 0.0036026363 0.0046220873 0.004108042 0.005222527 0.011408349 0.0042888527 0.003107104 0.0065696584 0.0070318673 0.0068152645 0.004340072 0.0031774535 0.003699521 0.0036057218 0.0044221464 0.0030398401 0.0075767674 0.0033150672 0.004918296 0.004271574 0.0051534115 0.0049522365 0.00388712 0.0034650227 0.0037791273 0.002214776 0.0022493335 0.0032996396 0.0032515058 0.0022376087 0.002044456 0.0020858017 0.0029392526 0.00363164 0.0029701076 0.003351476 0.0037618484 0.002527646 0.0027652301 0.002135787 0.0024992595 0.0028966726 0.0024400179 0.0025807167 0.0033292605 0.0024739583 0.0027189474 0.002044456 0.002948509 0.0034230598 0.0032607622 0.0034020783 0.0043770983 0.002874457 0.0026010813 0.0023462183 0.0033928219 0.002312278 0.0025986128 0.002586888 0.0035242643 0.0021543 0.00238633 0.0016735782 0.0026634084 0.0025597354 0.002551096 0.002984301 0.003686562 0.002423973 0.0027781893 0.0024356982 0.002845453 0.0031231488 0.002586888 0.0030959963 0.0035761008 0.0026566202 0.003449595 0.0027547393 0.0029867694 0.0033502418 0.0034144204 0.0036754543 0.0045252023 0.0035656102 0.0027843602 0.0022511848 0.002965788 0.002319683 0.0025116014 0.0033144502 0.0039259973 0.0033798628 0.0025480106 0.003087357 0.003088591 0.0029367842 0.002551713 0.0036192979 0.00447892 0.0030416914 0.0032416321 0.0027763378 0.0033249408 0.002668345 0.002184538 0.0028719886 0.0037920864 0.0029429551 0.0028423676 0.0033767773 0.0036248518 0.0032694016 0.0029515945 0.0036581755 0.0043709273 0.0035649932 0.0029207396 0.0023702853 0.00354648 0.0035316697 0.0033903534 0.0030318177 0.0046368977 0.003448978 0.0033736918 0.0031589405 0.0036384282 0.0032169481 0.0037982573 0.0032663161 0.0043388377 0.0035872087 0.0031694314 0.0036106585 0.003802577 0.003845774 0.0034205914 0.0042246743 0.0044813883 0.0037988743 0.003686562 0.0043011946 0.0050324597 0.0040926146 0.005316943 0.0059007206 0.018275449 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0019596107 1.883944e-05 8.338769e-06 5.250336e-06 5.2812204e-05 3.459045e-05 4.6326495e-06 1.0191829e-05 4.0767314e-05 1.9148285e-05 1.8530598e-05 2.7487053e-05 3.6443507e-05 3.1810858e-05 5.528295e-05 0.00020630732 0.00084499526 2.4707464e-05 0.0 9.265299e-07 2.161903e-06 0.00017449647 0.00017017266 4.323806e-06 1.6986382e-05 3.7061195e-06 5.8680225e-06 6.1768657e-07 2.7795897e-06 1.1118359e-05 3.0884328e-07 1.8530598e-06 0.014895821 0.00088699796 0.00090552855 0.0005315193 0.0025093518 0.0024769232 0.014814595 0.008247969 0.00024800116 0.00011797814 0.00015781893 3.737004e-05 9.6050266e-05 0.0001334203 3.489929e-05 7.906388e-05 0.047871638 0.0041048364 0.004631414 0.0013999867 0.0016103089 0.0012816996 0.007069732 0.007992555 0.0007319586 0.0006028621 0.0006396145 0.00057259545 0.0005565356 0.0007761232 0.0005355343 0.0012165337 0.022247836 0.0029852793 0.0031430982 0.0014867716 0.0011624862 0.0012755229 0.0054801153 0.0039186035 0.00075079803 0.0005327547 0.00043207177 0.0004607942 0.00044041054 0.0005614771 0.00034713987 0.0009481489 0.007390929 0.0028762575 0.0014716383 0.0003131671 0.000867232 0.00045986768 0.00094907545 0.00061120087 0.0031421718 0.00021866105 0.00025078075 0.0002909304 0.00049229624 0.00026498755 0.0002690025 0.00037215618 0.009369688 0.0009521639 0.0008403626 0.000940119 0.0009296183 0.0005756839 0.0007325763 0.0006686457 0.001641811 0.000681926 0.0006979859 0.00046820645 0.00076068105 0.00056302134 0.0005855669 0.0017298313 0.006449266 0.0010043584 0.0016705334 0.0010716863 0.0009052197 0.0007455477 0.0010831135 0.0007325763 0.0010164033 0.00060162676 0.00062880496 0.0005049588 0.0005114445 0.00039531942 0.00046388264 0.001823102 0.0069122217 0.0023336199 0.002042072 0.0018336027 0.0015145675 0.0012202399 0.0012387704 0.0011995473 0.0012313583 0.0008950279 0.0008959544 0.00072300213 0.00079496263 0.00084098027 0.0010108441 0.00567376 0.0012517419 0.0005830961 0.00060378865 0.0004913697 0.0004509112 0.0003267562 0.00041601193 0.00030760793 0.00019704203 0.00021649915 0.00019024748 0.00021557263 0.00022422023 0.00022236718 0.00022174949 0.001671151 0.049104232 0.041317675 0.03607722 0.047049806 0.037640586 0.037922867 0.0417028 0.051650025 0.041148737 0.04197582 0.039016172 0.046421617 0.045458335 0.04718168 0.05176059 0.06689947 6724.0 11.577335 77846.0 0.009351797 0.002363641 0.0026077128 0.0036482285 0.001747039 0.0018883436 0.0020938776 0.002980243 0.0024920998 0.0026462502 0.0022223364 0.0026077128 0.0072707655 0.002671942 0.012049431 0.003481232 0.008234206 0.007437762 0.004624515 0.0046630525 0.00395653 0.0037895332 0.0037766872 0.004097834 0.0048043574 0.005382422 0.003917992 0.0029545513 0.009608715 0.007437762 0.0099041695 0.004624515 0.0033527734 0.00594764 0.009917015 0.014515839 0.006962464 0.004817203 0.010957532 0.0065257046 0.002980243 0.009942708 0.0025049457 0.004637361 0.006718393 0.006037561 0.0053952676 0.005022737 0.008863654 0.0027618632 0.008478277 0.013038564 0.010096858 0.004624515 0.00513835 0.0034683864 0.0024920998 0.0027233255 0.0023893327 0.0035454615 0.002980243 0.003095856 0.0034426947 0.031999074 0.0037253038 0.037471417 0.010379467 0.020502016 0.02350795 0.0881227 0.0055237263 0.020078102 0.007874521 0.043958586 0.0033270817 0.014669989 0.034735247 0.015646275 0.040747117 0.04005344 0.01152275 0.0026205585 0.042275775 0.03400303 0.06010585 0.018318217 0.0052925004 0.0065000127 0.0070395395 0.011753975 0.003481232 0.004020759 0.0035326157 0.0040336046 0.00411068 0.0043547517 5.810144 1.0 0.0 0.0 16.0 1620480.0 1646592.0 1.0 0.0 1.0 1.0 1.0 0.0 0.0 0.0 1541122800.0 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 -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 1591296.0 512.0 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 -1591296.0 0.0 28160.0 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 -7.6843896 0.0 6.015738 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 -1591060.0 0.0 28152.0 0.0 0.0 0.0 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 1599164.0 28152.0 1605632.0 0.0 0.0 0.0 0.0 12.0 1638400.0 28.0 1598852.0 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: 0.10766034 0.0011412154 0.0007891988 0.00047692587 0.00084597565 0.0003065952 0.0016522075 0.00038040517 0.0011525708 0.029188998 0.0005166697 0.0013399346 0.00065861194 0.00032362828 0.00021007449 0.0002668514 0.0015727199 0.0005507358 0.0006131904 0.0003009175 0.00023846293 0.0008913972 0.00048260356 0.00021575218 0.003031886 0.00043718205 0.0006359012 0.00034633902 0.00028388444 0.00023278524 0.00048828125 0.000255496 0.00049395894 0.00014761991 0.0003576944 0.00023278524 0.0004031159 0.0005053143 0.00018736374 0.00022710756 0.00047692587 0.00027252908 0.0003633721 0.00021007449 0.00013626454 0.00067564496 0.0002043968 0.00029523982 0.0003520167 0.0003633721 0.0016692405 0.016033793 0.00028388444 0.00018168605 0.0005166697 0.0002668514 0.0001987191 0.00014194222 9.6520715e-05 0.00033498366 6.245458e-05 0.0028956214 0.00011355378 0.00042014898 0.0015386537 0.00011355378 0.002100745 0.00043150436 0.00022710756 0.0006699673 0.002299464 9.6520715e-05 0.0020155795 0.00013058685 4.542151e-05 9.6520715e-05 0.0005280251 0.00066428963 0.00037472747 0.00024414062 0.00065861194 0.0002611737 0.0002043968 0.0019190589 0.00012490916 0.0003179506 0.00047124818 0.00018168605 6.245458e-05 0.0004598928 9.084302e-05 0.00012490916 0.00032930597 0.00042014898 0.010577534 0.0008062318 0.00013058685 0.0006131904 0.0002668514 0.0006188681 0.00057344657 0.0015897529 0.00024414062 0.00011923147 0.0007153888 0.0014250999 0.0003520167 0.00017600835 0.00039176055 0.0003065952 0.00065293425 0.00068132265 0.00044853744 0.0003122729 0.00095385173 0.0023278524 0.00057912426 0.00036904978 0.0003576944 0.00010787609 0.00027820675 0.00013626454 0.00011923147 9.6520715e-05 6.245458e-05 0.0002611737 0.0010617279 0.00034066133 0.00038040517 0.00013058685 9.084302e-05 0.00028388444 0.00014194222 0.00014761991 0.0001589753 2.2710756e-05 0.00017600835 0.008806095 9.6520715e-05 0.0011071493 0.00033498366 0.0006188681 9.6520715e-05 9.6520715e-05 0.0005166697 5.677689e-05 0.00028388444 0.00013626454 0.0012945131 7.948765e-05 0.00010787609 7.3809955e-05 0.00022142987 0.0012150254 4.542151e-05 8.516533e-05 5.677689e-05 6.813227e-05 5.677689e-05 0.0017146621 0.00011923147 0.00011355378 7.948765e-05 9.084302e-05 0.00032362828 0.0003520167 5.677689e-05 6.245458e-05 0.0001532976 6.813227e-05 0.0010674056 8.516533e-05 0.0005620912 7.3809955e-05 3.9743823e-05 5.677689e-06 0.00019304143 7.948765e-05 0.00059047964 7.3809955e-05 0.00014761991 0.007409384 5.10992e-05 9.084302e-05 7.948765e-05 2.8388446e-05 7.948765e-05 7.948765e-05 0.00012490916 6.813227e-05 2.2710756e-05 0.0013740007 0.00024981832 5.677689e-05 0.00011355378 0.000255496 9.6520715e-05 2.8388446e-05 7.948765e-05 0.0002043968 0.0001021984 0.00011355378 0.0020155795 0.0005053143 0.0011752816 7.948765e-05 0.00011923147 5.677689e-05 0.00024414062 5.10992e-05 2.8388446e-05 0.0001532976 0.0002668514 0.0021972656 8.516533e-05 5.10992e-05 0.00016465299 0.00034066133 5.677689e-05 0.00023846293 6.813227e-05 7.3809955e-05 0.00011923147 7.948765e-05 0.6553245 3.4066135e-05 0.00021007449 5.677689e-05 0.00034633902 0.00049395894 9.6520715e-05 2.8388446e-05 0.00034633902 0.00013626454 3.9743823e-05 0.0001532976 0.00028956213 7.3809955e-05 8.516533e-05 9.6520715e-05 0.00018168605 0.00014761991 0.0008743641 7.3809955e-05 0.00014761991 0.00013058685 0.00013626454 0.00014194222 0.00045421513 7.3809955e-05 5.677689e-05 0.00042014898 0.00029523982 0.00019304143 0.00014194222 0.06493573 0.029239766 0.0 0.0 3.426535e-05 0.0 3.426535e-05 0.0 3.426535e-05 4.283169e-05 2.5699013e-05 8.566338e-06 0.00030838815 1.7132676e-05 7.709704e-05 0.3385988 0.0 0.0018046418 0.00011992873 8.566338e-05 0.00033408718 0.00023700201 0.00026555647 0.00023414656 0.00015133864 0.00039405155 0.00016276042 4.283169e-05 0.00032837628 9.9940604e-05 0.00012849507 0.09499783 2.855446e-05 0.0056138067 6.85307e-05 5.9964364e-05 0.0007052951 7.1386145e-05 0.00048542581 7.1386145e-05 0.00015419407 0.00020844756 5.9964364e-05 4.5687135e-05 0.00058251095 0.00015990497 9.9940604e-05 0.026926855 0.011470326 0.010450932 4.854258e-05 5.9964364e-05 0.0015248081 0.00029125548 0.0007681149 0.00054253475 0.00040261788 0.00062534265 0.0003740634 0.00011421784 0.0005025585 0.00010279605 0.00018274854 0.030770285 2.2843567e-05 0.009405839 7.9952486e-05 0.00011707328 0.0032580637 0.0006224872 0.002024511 0.0010993467 0.0009908397 0.0014848319 0.0011792992 0.00039119608 0.0016418814 0.0013106497 0.00053111295 0.04373401 0.025696158 0.011259023 0.00064533076 0.00060535455 0.0052597313 0.0005339684 0.0022386697 0.0006824516 0.0006824516 0.0017246894 0.0008395011 0.00021130299 0.0024442617 0.00071100605 0.0006224872 0.049430624 0.009828445 0.027637862 0.0040433113 0.0016932794 0.0060050027 0.0028468797 0.0028811449 0.0011878655 0.0010251051 0.00182463 0.000736705 0.00032552084 0.0020644874 0.0005967882 0.0006310535 0.040575888 0.005339684 0.010705067 0.002004523 0.0011050575 0.003829153 0.0011536002 0.002452828 0.0007481268 0.00068816246 0.0015704952 0.0004968476 0.0001684713 0.001050804 0.00034550895 0.00037691885 0.01946843 0.0006196318 0.0046515213 0.00022558022 0.00021701389 0.001716123 0.00082522386 0.0021073192 0.00019988121 0.00062534265 0.0011136238 0.00045687135 0.0004054733 0.00071957236 0.00025413468 0.00018845942 0.011790136 0.0037434895 0.011136239 0.0006167763 0.00050826935 0.0004054733 0.001159311 0.00067674066 0.0011193348 0.00095371896 0.00035121985 0.00047971492 0.0005996436 0.00031409904 0.000659608 0.00032266538 0.0036321273 0.0063048247 0.014537076 0.00071957236 0.0005139803 0.0005111248 0.0012963724 0.0010850695 0.0017532437 0.0012506853 0.0007595486 0.00047971492 0.00048542581 0.00035407528 0.00034550895 0.0003426535 0.00047971492 0.0043260003 0.0027697824 0.00035978618 6.567525e-05 0.00011136239 0.00050826935 0.00029411094 0.0001684713 0.00019702577 0.00040261788 0.000105651496 7.9952486e-05 4.5687135e-05 0.00014277229 0.00011707328 0.00022558022 0.00025413468 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.003246642 0.001659014 0.00012849507 0.00037120798 0.0020359328 0.0017646656 0.0010193941 0.000659608 0.0022186814 0.0006110654 0.00038262975 0.0001741822 0.0005025585 0.0006196318 0.0010022615 0.0011478893 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 733.0 10.324693 7568.0 0.006342495 0.00079281186 0.002642706 0.001321353 0.0005285412 0.0005285412 0.0010570824 0.0006606765 0.001321353 0.0002642706 0.0001321353 0.00039640593 0.00039640593 0.0043604653 0.0015856237 0.0006606765 0.0006606765 0.003435518 0.017045455 0.2776163 0.0035676532 0.00092494715 0.0029069767 0.005153277 0.00079281186 0.0001321353 0.0001321353 0.00039640593 0.0 0.061839323 0.0010570824 0.0014534884 0.00079281186 0.0010570824 0.0033033828 0.0054175477 0.00092494715 0.0019820295 0.022463001 0.0005285412 0.041490488 0.001717759 0.0005285412 0.00079281186 0.002642706 0.001321353 0.0033033828 0.0021141649 0.0018498943 0.00092494715 0.0006606765 0.040697675 0.00079281186 0.00079281186 0.0023784356 0.0 0.0 0.0019820295 0.0011892178 0.00079281186 0.0036997886 0.0015856237 0.23269027 0.014534884 0.001321353 0.011760042 0.005285412 0.002510571 0.00647463 0.014667019 0.003039112 0.00079281186 0.0010570824 0.029069768 0.0040961946 0.002510571 0.0033033828 0.0059460886 0.0043604653 0.004756871 0.0033033828 0.00092494715 0.013477801 0.044001058 0.0071353065 0.0027748414 0.0059460886 0.0005285412 0.00092494715 0.0011892178 0.00039640593 0.00039640593 0.00039640593 0.0 0.021009514 0.0015856237 3.9861486 1.0 0.0 0.0 1.0 176128.0 176128.0 0.0 0.0 40.0 0.0 1.0 0.0 0.0 0.0 1508983000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 6.0 0.0 4.0 0.0 4.0 0.0 163840.0 4096.0 4096.0 3.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.3335142 0.0 3.1573398 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2572.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163144.0 0.0 2384.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 166372.0 2384.0 172032.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 32.0 552.0 176.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.15848088 0.012796523 0.007276983 0.0064583467 0.015603625 0.0050565125 0.004789683 0.0031695783 0.015474134 0.0023955773 0.0026795738 0.0020012194 0.010920379 0.0056303916 0.0017466525 0.007494272 0.023839036 0.0015798842 0.0014337167 0.0023622236 0.00775963 0.002570684 0.0023847865 0.002757072 0.0056730644 0.0038037882 0.0030106578 0.0012929447 0.004349709 0.00096774654 0.0013248269 0.0029292358 0.0072426484 0.00083040795 0.00090937765 0.0011261764 0.0047833067 0.0011011611 0.00079705426 0.0009976667 0.001797664 0.0008814194 0.0008407083 0.0023117026 0.0016372721 0.0018113978 0.0007754725 0.0007823394 0.0032274567 0.0018795766 0.0025770604 0.005438608 0.0024804329 0.0019609989 0.0018378845 0.0017648009 0.002958175 0.0033353656 0.0024161781 0.005962947 0.002528992 0.002143463 0.0018962534 0.0018673142 0.0033490995 0.0019350025 0.0029576845 0.0014940476 0.0023166076 0.017116312 0.004165283 0.002080189 0.0038832484 0.0013650474 0.00075879565 0.0008201075 0.0016667019 0.013657832 0.0023960678 0.0012488001 0.009042274 0.0054631326 0.0012394807 0.0045096106 0.0016534585 0.0032853351 0.005612734 0.004573375 0.0021606302 0.0040578647 0.0006871834 0.0022013413 0.001263515 0.0046454775 0.004021568 0.004799493 0.001409192 0.002509372 0.0012002412 0.0037733775 0.0034844761 0.006034559 0.002377429 0.0012375187 0.0034996814 0.0025819654 0.006617758 0.00089956773 0.0026285625 0.00144696 0.0024117636 0.0027654106 0.0026530873 0.00087749545 0.0031283768 0.0024657182 0.011427061 0.011785122 0.0021518013 0.0014454887 0.0020090672 0.0012316328 0.00069257885 0.0006979743 0.002018877 0.003913659 0.004040207 0.0032519815 0.0031985175 0.0017368426 0.000627343 0.01146581 0.0038592143 0.005871715 0.0019271546 0.0007470238 0.0028841102 0.017430719 0.0020095578 0.03939214 0.0010928228 0.015848873 0.0012438952 0.00062341907 0.0028291747 0.0007666436 0.00078135845 0.0014239068 0.0011825833 0.00058516045 0.0006023278 0.00059447985 0.0012007316 0.000875043 0.00052973453 0.00053611095 0.0009883473 0.0005243391 0.0009765754 0.0005027573 0.0012115225 0.00067394006 0.0008671951 0.0006131187 0.0011845453 0.0009795184 0.0005071718 0.00053169654 0.0018668238 0.00059938483 0.0005513163 0.0006111567 0.0030224298 0.00055671175 0.00059447985 0.0010604501 0.0016068615 0.0006499058 0.0005258106 0.00062783353 0.0010496592 0.00057780306 0.0016029375 0.0009309594 0.0033177077 0.0008897578 0.0005861415 0.0006018373 0.0012031841 0.0006950313 0.0010839938 0.0007774345 0.008034797 0.00344867 0.0031685974 0.0038204652 0.0027923877 0.00050471927 0.0057387906 0.0036144573 0.002708513 0.0035423546 0.00090447266 0.0014239068 0.0035251873 0.002526049 0.0033289893 0.0019811091 0.003986743 0.0011659064 0.0010697695 0.0008927008 0.0015362302 0.00054101594 0.00070386025 0.0006508868 0.0029189354 0.0015543784 0.0006606967 0.0037704345 0.003097966 0.004385025 0.00068276894 0.002908635 0.003065103 0.00081078813 0.00069110736 0.0005905559 0.0024809234 0.00051011477 0.0005621072 0.0005444494 0.019282337 0.005428798 0.0006190046 0.0060517266 0.0066025523 0.00058810343 0.0010933132 0.002798764 0.0069929864 0.002124824 0.0012017126 0.0015990136 0.0030994376 0.0008387464 0.0023195506 0.0019045919 0.006940013 0.001937455 0.0013885911 0.002218018 0.008418364 0.0015048385 0.0033181983 0.041857857 0.06032176 1.9639267e-06 2.94589e-06 7.364725e-07 0.0 4.909817e-07 4.909817e-07 0.0 4.909817e-07 0.0 4.909817e-07 0.0 0.0 0.0 0.0 2.4549083e-06 0.0014258107 5.4498963e-05 7.364725e-07 6.1372707e-06 1.2274542e-06 7.364725e-07 1.9639267e-06 4.909817e-07 2.2094175e-06 1.7184358e-06 2.4549084e-07 2.4549084e-07 1.7184358e-06 4.909817e-07 1.2274542e-06 8.83767e-06 0.00091248937 1.6202395e-05 1.3992977e-05 0.0 3.3141263e-05 1.742985e-05 7.364725e-07 2.4549083e-06 6.6282523e-06 2.4549084e-07 2.4549084e-07 2.4549084e-07 2.4549084e-07 0.0 2.4549084e-07 1.2274542e-06 0.0031184698 0.00084154255 7.855707e-06 8.592179e-06 2.94589e-06 3.6823624e-06 2.94589e-06 3.1913808e-06 5.1553075e-06 2.7003991e-06 4.173344e-06 2.94589e-06 2.7003991e-06 3.6823624e-06 3.1913808e-06 8.346688e-06 0.00084326096 8.346688e-05 1.3747486e-05 2.7003991e-06 6.3827615e-06 3.9278534e-06 7.6102156e-06 7.6102156e-06 1.5220431e-05 2.7003991e-06 2.7003991e-06 1.9639267e-06 9.819634e-07 1.7184358e-06 1.7184358e-06 9.819633e-06 0.001151352 0.00015024039 1.3501995e-05 1.1047087e-05 6.873743e-06 8.83767e-06 3.7560098e-05 8.592179e-06 3.0195371e-05 1.2520032e-05 4.664326e-06 6.3827615e-06 4.664326e-06 4.418835e-06 1.0556106e-05 4.688875e-05 0.0018804597 0.00024205395 0.00020277542 2.6267518e-05 8.616728e-05 5.3517e-05 0.00096674287 0.00047944358 2.2830647e-05 7.855707e-06 1.1538069e-05 1.0556106e-05 8.101198e-06 8.101198e-06 7.119234e-06 8.592179e-06 0.0071960725 0.0015100141 0.00050472916 0.00016447886 0.00018657303 9.745986e-05 0.0015426644 0.0007912169 4.9589147e-05 0.0001900099 3.829657e-05 3.878755e-05 6.849194e-05 9.181357e-05 7.708412e-05 0.0010273791 0.02598815 0.0063461834 0.005515197 0.0015240071 0.0014886564 0.0010718129 0.011386846 0.0063024857 0.00039769514 0.00092157256 0.00038443864 0.0003984316 0.00035522523 0.00045514 0.00036479937 0.003967132 0.0038186098 0.0008584814 0.0006468683 0.00033141262 0.00048214398 0.0002602203 0.001995104 0.0009898191 0.000105561056 7.634765e-05 8.346688e-05 7.315627e-05 8.0766484e-05 4.5170313e-05 0.00010384262 0.0006070988 0.0028896725 0.0005427802 0.0006763272 0.00030710903 0.0003559617 0.0003665178 0.0017935559 0.001028361 0.00033681342 8.665826e-05 6.480958e-05 9.230455e-05 8.7394736e-05 6.652802e-05 8.6903754e-05 0.0007708412 0.007219149 0.003384091 0.0016499439 0.017514544 0.0016698285 0.0014147636 0.002048621 0.0017545229 0.0014886564 0.0012642777 0.0014005251 0.0013602646 0.0013079752 0.0012009412 0.0012561765 0.0018284157 0.01195344 0.0066270246 0.0015470831 0.0019148284 0.0016592725 0.0016158206 0.001539964 0.0015198337 0.002912994 0.00078778004 0.001179338 0.0010101948 0.001229909 0.00066945347 0.0012102698 0.002341246 0.07758246 0.023440447 0.0078751 0.0107709095 0.030252816 0.027909853 0.011378009 0.021479957 0.060896944 0.0047404277 0.004936575 0.0063616494 0.026239777 0.012606691 0.026740333 0.042967033 0.051529262 0.018809017 0.0070760273 0.008600035 0.021331925 0.022819353 0.007784023 0.015053007 0.040165246 0.0039293263 0.0037125577 0.0043640905 0.017578125 0.010381316 0.018370569 0.030547405 0.0040120566 0.00516169 0.002883535 0.0029498178 0.0036673874 0.0036020868 0.004401896 0.0043923217 0.0036030689 0.002859968 0.0035984046 0.0029888507 0.004123264 0.0049942653 0.0035095369 0.003583675 7802.0 14.5467825 113494.0 0.07227695 0.0013569 0.0037270694 0.001383333 0.0046962835 0.0041059437 0.0012159233 0.0014450103 0.0051632687 0.002934076 0.0028547766 0.002326114 0.0053571113 0.018371016 0.0033570058 0.0032953285 0.013005093 0.009938851 0.010132695 0.009982906 0.013172503 0.009410189 0.009031314 0.008308809 0.011736304 0.010996176 0.018379826 0.014855411 0.01281125 0.010194371 0.0094454335 0.0077184695 0.0044407635 0.004907748 0.0028812096 0.005022292 0.006440869 0.004502441 0.0039914004 0.0039825896 0.010238427 0.0052161347 0.0014273883 0.0012864117 0.006907854 0.004317409 0.0024318467 0.002775477 0.006810933 0.0032336512 0.003964967 0.0074277055 0.008537896 0.0021939485 0.0045112516 0.004987048 0.003700636 0.002519957 0.0014626324 0.0033129505 0.00458174 0.0028988316 0.00254639 0.0044319523 0.0033481945 0.032873984 0.01119883 0.02181613 0.026609337 0.05559765 0.008969638 0.012652651 0.017604455 0.03445116 0.0039385343 0.0065113576 0.028265812 0.0149787655 0.032407 0.03851305 0.018996598 0.0015683648 0.036195748 0.024124624 0.055738628 0.018652968 0.0062294044 0.006863799 0.009877174 0.007859446 0.0018591292 0.0019912948 0.0039914004 0.0021939485 0.0015859869 0.0016564752 5.868094 0.0 1.0 0.0 7.0 2038757.0 2052096.0 0.0 180.0 10.0 1.0 1.0 0.0 0.0 0.0 1223273000.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 6.0 0.0 4.0 0.0 4.0 0.0 688128.0 1024.0 4096.0 6.0 0.0 0.0 3.0 6.0 0.0 0.0 0.0 0.0 0.0 -70144.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -686080.0 0.0 0.0 0.0 0.0 0.0 1101824.0 0.0 0.0 0.0 0.0 0.0 0.0 -163328.0 0.0 10240.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.567428 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.579974 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5.754788 0.0 0.0 0.0 0.0 0.0 6.637453 0.0 0.0 0.0 0.0 0.0 0.0 -7.0009823 0.0 4.9381814 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -73728.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -688128.0 0.0 0.0 0.0 0.0 0.0 1101824.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 12288.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 2.0 1.0 1.0 2.0 -1.0 0.0 0.0 -1.0 0.0 0.0 -2.0 0.0 1.0 -1.0 -2.0 2.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 1.0 1.0 2.0 -1.0 0.0 0.0 -1.0 1.0 0.0 1.0 1.0 0.0 1.0 0.0 1.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 1.0 0.0 5.0 -1.0 -2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -2.0 -1.0 1.0 -3.0 -1.0 1.0 -1.0 0.0 -1.0 1.0 0.0 1.0 2.0 1.0 1.0 0.0 -1.0 -3.0 0.0 0.0 1.0 1.0 1.0 -1.0 -1.0 3.0 -1.0 -1.0 -1.0 0.0 -2.0 0.0 0.0 -1.0 -1.0 -1.0 -2.0 1.0 -1.0 2.0 2.0 -3.0 1.0 -2.0 0.0 0.0 -2.0 0.0 1.0 -2.0 -2.0 0.0 0.0 0.0 0.0 -1.0 2.0 0.0 0.0 0.0 0.0 0.0 3.0 0.0 1.0 0.0 3.0 5824.0 1798232.0 220.0 1970176.0 3572.0 1794048.0 0.0 0.0 0.0 0.0 69780.0 1978368.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.1463313 0.0068680863 0.004177145 0.0036271273 0.00458371 0.0031525753 0.0015548716 0.0016180999 0.016430512 0.004048649 0.0015963439 0.0009334669 0.0048067085 0.0018077847 0.001860135 0.0034279241 0.0050806976 0.002021265 0.0020307833 0.0021891939 0.0037549436 0.0025678838 0.0008158487 0.0007308644 0.0017194011 0.00054593873 0.0006819135 0.00057721295 0.0015331156 0.0006329626 0.0005806123 0.00066287705 0.0028969427 0.00057925255 0.00054049975 0.00065811793 0.014809693 0.02329384 0.0005799324 0.00052758213 0.0013121567 0.00068123365 0.0007111481 0.0010102926 0.0015983835 0.0006615173 0.00064452045 0.0005343809 0.0030016433 0.0037773794 0.009333309 0.003138298 0.0019417199 0.0020022285 0.0012122152 0.0014794056 0.0019152048 0.0024006348 0.002016506 0.0022041511 0.0016935659 0.0010198108 0.0010442863 0.0009402656 0.03348107 0.0007444619 0.0005989689 0.0016303376 0.0010198108 0.008883232 0.0007995317 0.00070434937 0.0010633228 0.00047319222 0.00063636195 0.00073630345 0.0009348266 0.004011256 0.0021518008 0.0004711526 0.0058115623 0.0027568887 0.0032035657 0.004239014 0.0011476271 0.0065254294 0.0024217109 0.0017282395 0.0010483655 0.004371589 0.00048746957 0.0016534533 0.0007553399 0.0036719989 0.001229212 0.02426266 0.0016024627 0.013907501 0.005493381 0.018421862 0.020089595 0.023462448 0.006053597 0.0055817645 0.0064948355 0.043869544 0.0033449796 0.00056701485 0.0155527955 0.021963326 0.019770052 0.009538631 0.0050154296 0.0020192254 0.019555893 0.03624068 0.037344795 0.017153898 0.0013577081 0.001611981 0.0051337276 0.0026025572 0.0015154389 0.00060100853 0.0009348266 0.0016956055 0.00063092296 0.00064248085 0.0017479558 0.0011265511 0.00042900044 0.010274935 0.0016269382 0.002652868 0.00041948218 0.00054865825 0.0011564655 0.004999113 0.0013359522 0.018636703 0.00078525435 0.0044837683 0.0003467357 0.00038752813 0.019507622 0.0003256596 0.00033653757 0.00041608282 0.00079885183 0.00086411973 0.00033517784 0.00033925707 0.00087227824 0.00045959477 0.00029846464 0.00045211613 0.00073290407 0.00040044572 0.0003310986 0.0002998244 0.0006771544 0.00052418275 0.00032361998 0.00054865825 0.00082196755 0.00033381808 0.00024203511 0.00045891487 0.00092598825 0.0002549527 0.0002991445 0.0003276992 0.00082400715 0.0003467357 0.00038412874 0.00035217468 0.0010204908 0.00031478162 0.00035149482 0.00037121115 0.0010198108 0.00033041873 0.00035557404 0.0005180639 0.0020430211 0.00055409723 0.0005207834 0.0004480369 0.0007893336 0.00049902743 0.00088383607 0.00043104004 0.0033980098 0.00085528137 0.0008600405 0.0034979512 0.006454723 0.00030866274 0.001223773 0.0030696306 0.0014433723 0.0008233273 0.00048814947 0.00037393064 0.0009633813 0.0003487753 0.00038140925 0.00039024762 0.0012904006 0.0005262224 0.0009722197 0.00041472306 0.0011387888 0.00028622692 0.0003467357 0.00037597027 0.0017554344 0.0005316614 0.00036577217 0.0011149932 0.0019498783 0.00051942363 0.0004351193 0.00047591171 0.0015752679 0.0004820306 0.00052690227 0.00039976585 0.001029329 0.0011707429 0.00038208914 0.0003929671 0.011085344 0.0012958397 0.00037665013 0.0029017017 0.0035169877 0.00033517784 0.0003467357 0.00039772622 0.0019716343 0.00035217468 0.00042696082 0.0005364205 0.0014256956 0.00044123817 0.0013243944 0.00085596123 0.0030519539 0.00061868527 0.0008029311 0.0010170913 0.0027303735 0.0018159432 0.0029078207 0.023767032 0.036236934 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.00073021016 7.826111e-06 4.7637195e-06 1.3610627e-06 2.7221254e-06 0.0 0.0 0.0 2.0415941e-06 0.0006216654 0.0 6.8053134e-07 1.3610627e-06 6.8053134e-07 6.8053134e-07 1.973541e-05 0.0077219894 0.00016673018 0.00011228767 0.0001497169 5.4782773e-05 2.3478331e-05 0.00013100229 5.3761978e-05 4.4234537e-05 0.0050675767 6.8053137e-06 1.7693816e-05 2.6540723e-05 2.0756206e-05 1.9395144e-05 0.00032053026 0.0065467115 8.4726154e-05 9.255226e-05 0.0001735355 0.0006107769 4.4574805e-05 0.0022546004 0.00075198716 5.8525697e-05 0.0035380826 2.7901786e-05 3.232524e-05 3.402657e-05 5.3081447e-05 2.1096472e-05 0.00030964176 0.01574069 0.0002528174 0.009821088 0.00085542793 0.010711904 0.008510726 0.06447082 0.03447674 0.00012521778 0.002788137 0.00011807219 0.00010378103 0.0001279399 0.00025758112 0.00011875272 0.001346091 0.025501892 0.0006315331 0.02521811 0.008590007 0.022159802 0.0138590215 0.11720179 0.074261285 0.0002211727 0.0019333896 0.00018034081 0.0003133847 0.0002745944 0.00049882947 0.00050325296 0.00272825 0.019244066 0.0010241996 0.0029895743 0.0027500272 0.0017074532 0.0021351671 0.008502559 0.0056024743 0.0010048045 0.001369229 0.00078125 0.0008288872 0.00090987043 0.0005777711 0.00083739386 0.0013032176 0.013442876 0.00057266717 0.0007138774 0.0010493794 0.00092450186 0.0009102107 0.0018677183 0.0016057137 0.0010156931 0.0011062038 0.0008459005 0.00077478494 0.0006563725 0.0007298699 0.0007720628 0.00088673236 0.013223064 0.004036912 0.0019418963 0.0093559455 0.0015771315 0.0014672256 0.002802428 0.0022498367 0.0015243902 0.001638039 0.0010031032 0.0010340674 0.0010303245 0.0010510806 0.0011752776 0.001579173 0.007616507 0.0054217936 0.0006247278 0.001480496 0.00083297037 0.0013865826 0.0019582289 0.0014464695 0.0010752395 0.0009377722 0.00077580573 0.0007894164 0.0008513447 0.00079588144 0.00088230893 0.0009990201 0.022919616 0.0050223214 0.0033584223 0.0048637576 0.0066695474 0.014029154 0.005065195 0.004660619 0.016812187 0.0026571348 0.0010490391 0.0019561874 0.006899227 0.0025251117 0.0081367735 0.013933199 0.037465632 0.008834998 0.006093818 0.009785361 0.013041363 0.022852244 0.011460148 0.008921766 0.028925305 0.0049729827 0.0027353957 0.004479598 0.013889304 0.0057501495 0.013609607 0.020422745 0.0002616643 6.601154e-05 7.792084e-05 7.894164e-05 7.962217e-05 0.00012521778 0.00015788327 0.00011909299 0.0001646886 0.00012657883 7.655978e-05 9.1871734e-05 0.00014291158 0.00020007622 0.00013134255 0.00019020852 19254.0 32.63192 628295.0 0.0023587646 0.00016393574 0.0001400616 0.00013528677 0.03098067 0.052817546 0.00022123365 0.00015279447 0.00053318904 0.0002992225 0.00041859318 0.0001766686 0.00085787725 0.00022760009 0.0003024057 0.00013051194 0.003546105 0.006883709 0.0036877582 0.0010631948 0.0016138916 0.0027327926 0.0011141263 0.001481788 0.0014499559 0.0036877582 0.0024558527 0.00064778485 0.0012764705 0.0005634296 0.0010759278 0.0005077233 0.075198755 0.00027693997 0.00014801964 0.0006016282 0.00042018478 0.00022282527 0.0002498826 0.00021486722 0.00034378754 0.00034219594 7.6397235e-05 8.5946886e-05 0.0005459219 0.00025306584 0.0038819343 0.00018462665 0.0006111779 0.0001400616 0.0003915358 0.0010440955 0.00065892615 0.00016552734 0.0007194073 0.0008276367 0.00032150504 0.0005093149 9.708815e-05 0.0003708449 0.00030718054 0.00039312744 0.00032309664 0.05487072 0.00036129524 0.030460214 0.011567814 0.041719258 0.042935245 0.053629268 0.006056072 0.009783621 0.00907058 0.09676346 0.00037880294 0.00048544075 0.03457134 0.05025187 0.04550251 0.021477172 0.010173565 0.003945599 0.044221267 0.08330323 0.078646176 0.032951083 0.0019290302 0.0026770865 0.010084434 0.005010385 0.0027693997 0.00010186298 0.00029126444 0.00013369515 0.00011459585 0.00013051194 4.6773024 0.0 0.0 0.0 1.0 1470861.0 1507328.0 0.0 15637.0 162.0 1.0 1.0 0.0 0.0 0.0 1023304300.0 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 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 0.0 0.0 5.0 0.0 4.0 0.0 4.0 0.0 483328.0 1536.0 4096.0 8.0 0.0 0.0 2.0 3.0 0.0 0.0 -512.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -57856.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -145408.0 0.0 0.0 0.0 0.0 0.0 753152.0 0.0 0.0 -481792.0 -4608.0 1024.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -6.61441 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -0.5879824 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.053833 0.0 0.0 0.0 0.0 0.0 5.4980063 0.0 0.0 -6.574799 -4.978768 3.4272113 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4096.0 0.0 0.0 -24576.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -61440.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -163840.0 0.0 0.0 0.0 0.0 0.0 753664.0 0.0 0.0 -483328.0 -8192.0 4096.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 1.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -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 1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 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 0.0 0.0 -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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 -2.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 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 1.0 -1.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 88.0 7.0 -3.0 -123.0 49.0 -6.0 39.0 -36.0 87.0 42.0 77.0 -46.0 -125.0 -42.0 1.0 -89.0 49.0 38.0 40.0 1.0 -82.0 -47.0 8.0 -3.0 36.0 0.0 -39.0 -162.0 0.0 -84.0 -8.0 38.0 44.0 85.0 -129.0 -39.0 87.0 -79.0 -49.0 128.0 -47.0 85.0 -40.0 82.0 83.0 -116.0 -3.0 125.0 -2.0 45.0 0.0 -48.0 39.0 -41.0 -89.0 -1.0 -38.0 -121.0 92.0 42.0 -130.0 43.0 82.0 38.0 40.0 -45.0 41.0 31.0 -5.0 48.0 84.0 164.0 37.0 -1.0 42.0 43.0 87.0 40.0 -48.0 50.0 41.0 41.0 -44.0 84.0 47.0 46.0 170.0 -41.0 81.0 -85.0 3.0 36.0 -125.0 -38.0 -127.0 -42.0 -85.0 41.0 -81.0 -48.0 -65.0 -79.0 -71.0 2.0 54.0 -3.0 -81.0 0.0 5.0 44.0 -47.0 3.0 -9.0 -134.0 -39.0 -76.0 42.0 0.0 7.0 -81.0 34.0 -93.0 -5.0 41.0 -83.0 82.0 0.0 -2.0 752941.0 663552.0 4460.0 655360.0 1024.0 1417216.0 0.0 0.0 0.0 0.0 24560.0 1421312.0 0.0 0.0 39.0 485632.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0


Input: 0.10919043 0.0044101435 0.008363522 0.0030871003 0.0033784849 0.0027248384 0.0027169634 0.0031422272 0.0030004724 0.0031973538 0.0024413294 0.0027484642 0.0026933376 0.0025200818 0.0026697118 0.0030083477 0.0033942354 0.0028272169 0.0027957158 0.0030240982 0.0031816035 0.0031264767 0.0030004724 0.0031501024 0.0031501024 0.0028744685 0.0030083477 0.003205229 0.0027799653 0.0034966136 0.0029295953 0.0035517404 0.0048669083 0.0049299104 0.0043235156 0.0035281146 0.0034729878 0.0033706096 0.003354859 0.0028744685 0.0030004724 0.0029059695 0.0025437076 0.008276894 0.003165853 0.003992755 0.0032524806 0.0032446054 0.005048039 0.0052764216 0.0051031657 0.005481178 0.006063947 0.0042841393 0.0043235156 0.004181761 0.003874626 0.0038667507 0.0038825013 0.004213262 0.0042290124 0.004252638 0.0037801228 0.00415026 0.005323673 0.0058198143 0.0051031657 0.004677902 0.0058198143 0.004331391 0.004591274 0.005449677 0.0039770044 0.0044101435 0.0041345092 0.0040478813 0.0041738856 0.0040872577 0.004040006 0.0036619941 0.00400063 0.003016223 0.0029768466 0.0033863601 0.0033391085 0.00292172 0.003630493 0.008387147 0.0031264767 0.0028980942 0.002953221 0.003165853 0.008111513 0.0029138448 0.0029374706 0.003047724 0.0029610961 0.008883289 0.008095763 0.0033154828 0.003512364 0.00952906 0.0032367301 0.0032761064 0.0032446054 0.0033863601 0.00816664 0.0029768466 0.0037407465 0.0026067097 0.0030398488 0.0036856197 0.0030083477 0.0029059695 0.0040872577 0.0036856197 0.0035202394 0.0031264767 0.0028980942 0.0028823437 0.0027484642 0.0026618366 0.0024885808 0.0024885808 0.002527957 0.0084186485 0.003354859 0.0038510002 0.0029138448 0.0030949756 0.0027563395 0.003079225 0.0027799653 0.0032446054 0.007654749 0.0027799653 0.002984722 0.0027484642 0.002646086 0.0038352497 0.00230745 0.0030083477 0.0024649552 0.0025988345 0.0025043313 0.002527957 0.0026933376 0.0025043313 0.0026303355 0.002701213 0.0025752087 0.0027327137 0.0023862026 0.0026697118 0.002646086 0.002614585 0.0023940778 0.0024885808 0.0077650025 0.0025437076 0.0077650025 0.0024807057 0.0024334542 0.0026224602 0.002527957 0.0021578202 0.0022286975 0.0021184438 0.0024334542 0.0026539613 0.0027169634 0.0075287446 0.002614585 0.0022759489 0.0024334542 0.0030398488 0.0030398488 0.0024492047 0.0027090881 0.0026618366 0.0025437076 0.0026382108 0.007654749 0.002614585 0.0025673334 0.0025122066 0.0022838241 0.008048512 0.0029295953 0.0024728305 0.002984722 0.0025200818 0.0029295953 0.0026067097 0.0029453458 0.0075602457 0.0026303355 0.0024413294 0.0024807057 0.0024492047 0.0026067097 0.0025515829 0.0023940778 0.0025752087 0.002890219 0.0022286975 0.0022838241 0.002583084 0.0028272169 0.002496456 0.0031894788 0.0025437076 0.0026382108 0.002370452 0.0025358323 0.0071822335 0.002614585 0.0028350921 0.0023862026 0.0027090881 0.0028193416 0.0082690185 0.0034336115 0.002858718 0.0030240982 0.0025200818 0.002890219 0.0024807057 0.0028744685 0.002803591 0.0026933376 0.0025122066 0.0033391085 0.0027799653 0.0039140023 0.0027327137 0.0029925972 0.002740589 0.0025673334 0.0026382108 0.002583084 0.007843755 0.0027642148 0.0024413294 0.002890219 0.0025752087 0.002677587 0.0028665932 0.003047724 0.00245708 0.0024334542 0.0026382108 0.002701213 0.0024413294 0.0025673334 0.005087415 0.024390243 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0075743143 4.3667427e-05 2.3818597e-05 3.5727895e-05 2.3818597e-05 4.3667427e-05 3.5727895e-05 3.969766e-05 3.5727895e-05 3.5727895e-05 1.984883e-05 6.351626e-05 3.175813e-05 5.1606963e-05 3.969766e-05 3.175813e-05 0.007149549 4.7637193e-05 3.175813e-05 0.00039300686 2.7788365e-05 3.175813e-05 1.1909298e-05 0.00025406503 7.939532e-06 2.7788365e-05 1.984883e-05 4.3667427e-05 7.939532e-06 3.969766e-06 6.351626e-05 7.939532e-06 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0063397167 2.3818597e-05 1.984883e-05 7.939532e-06 0.00014688136 3.5727895e-05 5.1606963e-05 0.00027391387 0.0005716463 0.0 3.175813e-05 3.5727895e-05 0.00011909299 7.939532e-06 0.000103213926 0.00036124873 0.019765466 0.00021039761 7.939532e-05 0.013505145 0.0139973955 0.00017466971 0.000103213926 0.00013100229 0.000103213926 0.00011909299 0.00011115346 8.7334854e-05 0.00011909299 9.1304624e-05 0.00011512322 6.748603e-05 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.008566756 9.924416e-05 0.00026200459 0.005279789 0.0042357408 0.0005200394 0.0019809133 0.0015521786 0.0006470719 3.175813e-05 7.542556e-05 0.00018260925 0.00014291158 2.7788365e-05 0.00033743013 0.0004485836 0.012155424 0.0009527439 0.0018657901 0.0009924415 0.002092067 0.0008971672 0.0011829904 0.0007185277 0.00094877416 0.00018657901 0.00042079523 0.00036124873 0.00034536966 0.0004009464 0.00035727897 0.0005120998 0.0032710873 0.00020245808 0.00043270452 0.0007066184 0.00013894182 0.00017069995 0.0002461255 0.0013378112 0.00019054877 0.00017069995 0.00010718369 0.0002342162 7.145579e-05 3.5727895e-05 0.00065501145 0.00015879064 0.0053433054 0.0008098323 0.0003652185 0.0015561484 0.0021714622 0.00068676955 0.0018816692 0.0012028392 0.00032552084 0.0002699441 0.00025009527 0.00020642785 0.0002937627 0.00032552084 0.00035727897 0.00021436738 0.0073004 0.0012187182 0.002274676 0.002937627 0.0013139927 0.0038347943 0.006712875 0.0037871571 0.0028066246 0.0016276041 0.002937627 0.003175813 0.001937246 0.0031480247 0.0012187182 0.0025485898 0.0090074 0.001937246 0.005962589 0.0029296875 0.0049502985 0.0057998286 0.008824791 0.0037395197 0.0039102198 0.0026398946 0.0047676894 0.0048828125 0.0030249618 0.005482247 0.0015005716 0.0038109757 0.04534664 0.044104103 0.049987298 0.044044558 0.044925846 0.048800338 0.052782014 0.041726213 0.041519787 0.04144833 0.04144039 0.04353643 0.04024946 0.044421684 0.04089653 0.04208746 1804.0 6.3985586 11543.0 0.012128563 0.018885905 0.0051113227 0.0032920386 0.0047647925 0.0043316297 0.0037252014 0.0044182623 0.0036385688 0.0034653037 0.002772243 0.04981374 0.0036385688 0.004851425 0.0040717316 0.003811834 0.016200295 0.016460191 0.01741315 0.019145804 0.017239885 0.00935632 0.011955298 0.00900979 0.008749892 0.008749892 0.011175605 0.009183055 0.009269687 0.0102226455 0.010309278 0.011522135 0.011262237 0.01741315 0.0102226455 0.01403448 0.01706662 0.011002339 0.012301828 0.021831414 0.010655808 0.012908256 0.008663259 0.011608767 0.010829074 0.011088972 0.012475093 0.00970285 0.013081522 0.003985099 0.0045915274 0.0069306074 0.0038984667 0.0030321407 0.005371221 0.05007364 0.005891016 0.0044182623 0.003811834 0.00467816 0.04747466 0.0047647925 0.0045915274 0.00502469 0.003985099 0.008749892 0.0049380576 0.0074504027 0.008316729 0.01706662 0.00502469 0.0056311185 0.005977649 0.010136013 0.047041498 0.004851425 0.0116954 0.0058043837 0.0078835655 0.010482543 0.004504895 0.0045915274 0.012475093 0.007970198 0.012301828 0.00502469 0.0040717316 0.00502469 0.003811834 0.00467816 0.0026856104 0.00233908 0.0034653037 0.047041498 0.0040717316 0.0075370353 6.136078 0.0 0.0 0.0 4.0 126980.0 139264.0 0.0 0.0 54.0 0.0 1.0 0.0 0.0 0.0 1169570000.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.0 1.0 8.0 1.0 4.0 0.0 4.0 0.0 9216.0 1024.0 8192.0 5.0 0.0 0.0 3.0 4.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -45568.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -73728.0 0.0 2048.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -7.407563 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -4.1623845 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -12.990829 0.0 3.9599009 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -44905.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -5940.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -74504.0 0.0 1932.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 100.0 5512.0 1932.0 24576.0 110.0 72013.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 232.0 4096.0 0.0 0.0 0.0 0.0


Input: 0.13302042 0.006586657 0.005014049 0.004467339 0.006157566 0.003746379 0.0035503474 0.00345451 0.0069743632 0.0031561065 0.003406591 0.002992747 0.005257999 0.0029252248 0.0026573152 0.0068915947 0.0051774085 0.0034828254 0.0026943434 0.002652959 0.0037986538 0.0038443946 0.0033303567 0.0026660278 0.0032388752 0.0027705778 0.0025266276 0.0024329682 0.0031539283 0.002602862 0.0024351464 0.0026398902 0.0044499137 0.0026072182 0.0024024744 0.002602862 0.004155867 0.00239594 0.0025592996 0.0025309839 0.002740084 0.0024569274 0.0024220776 0.0029840344 0.0027967154 0.0024874213 0.002411187 0.0025462308 0.003099475 0.0026965216 0.002467818 0.004881183 0.0028816625 0.0029404717 0.0024765306 0.0023436649 0.0038748884 0.004347542 0.0025026682 0.004123195 0.0028141404 0.0028184967 0.0023393086 0.002515737 0.0045326827 0.00743177 0.0042473483 0.0031757096 0.005316809 0.007135545 0.0038160789 0.0037398445 0.003166997 0.0036374724 0.0027095904 0.002413365 0.0038596415 0.0048855394 0.003728954 0.002467818 0.006469038 0.0035634162 0.0028860187 0.0038988478 0.0032258064 0.00452397 0.004743961 0.004761386 0.0036679662 0.0038443946 0.0025048463 0.0026573152 0.0027771122 0.0034109473 0.003406591 0.0030210626 0.0027553309 0.0033434252 0.0023262398 0.003731132 0.0034000566 0.0051098866 0.0032127376 0.0025527652 0.0034828254 0.0033848097 0.004190717 0.0024874213 0.00345451 0.0028119623 0.003284616 0.003578663 0.0035677725 0.0025288058 0.003818257 0.0033695628 0.008226787 0.0073054386 0.0030014594 0.002620287 0.0031190782 0.0027335498 0.002328418 0.0022020866 0.0032301627 0.0038443946 0.0027880028 0.0027792903 0.004486942 0.0036048007 0.0022892118 0.0068240725 0.0037267758 0.0060856873 0.0024765306 0.0032062032 0.0031081876 0.006218553 0.0028141404 0.013846355 0.002842456 0.0064298315 0.002313171 0.00236109 0.002757509 0.0022042647 0.0021018928 0.002378515 0.0028664155 0.002483065 0.0021999085 0.00229139 0.002448215 0.0022892118 0.0024460368 0.0023741587 0.002685631 0.0023262398 0.002293568 0.0026682059 0.0026638496 0.0024242557 0.0023044585 0.0026181089 0.002703056 0.0026093964 0.0022892118 0.0021715928 0.0025309839 0.0023327742 0.003254122 0.0025375183 0.0028272092 0.0022369367 0.0022979241 0.0023393086 0.0027487965 0.0023872275 0.0025636558 0.0025701902 0.0026682059 0.0026268214 0.0031365033 0.0024373245 0.003132147 0.0023915838 0.0033238223 0.002483065 0.0027487965 0.0025592996 0.003404413 0.0024438587 0.005957178 0.0037507352 0.00359391 0.004142798 0.0033804534 0.002705234 0.0045130798 0.00521008 0.0031125438 0.0033260004 0.0027008778 0.0035873756 0.0033608503 0.0026507808 0.0029012654 0.0026965216 0.0029230467 0.0027880028 0.0030319532 0.0026899872 0.0028685937 0.002428612 0.002655137 0.002533162 0.0029317592 0.003421838 0.0024569274 0.0026834528 0.003493716 0.0024024744 0.0025375183 0.002565834 0.0033129316 0.0023218836 0.0022848556 0.0022565399 0.0028838406 0.00246564 0.002517915 0.0024721744 0.008379255 0.0035329224 0.0024808869 0.004417242 0.003783407 0.0025048463 0.002720481 0.0024090088 0.0036527193 0.002703056 0.0030733375 0.0027640434 0.0031277908 0.004057851 0.0040033977 0.0031757096 0.0038160789 0.0028838406 0.0026594934 0.0026638496 0.0041885385 0.0027705778 0.0036178695 0.023303783 0.053691275 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0039914534 3.4955257e-05 4.0417017e-05 3.4955257e-05 0.0033895676 0.0011480617 4.8063477e-05 3.8232312e-05 2.512409e-05 1.8569981e-05 2.6216443e-05 3.1678203e-05 3.1678203e-05 4.369407e-05 2.1847036e-05 2.4031739e-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 0.0035064493 0.0003145973 6.11717e-05 2.0754684e-05 5.024818e-05 4.5878776e-05 9.940401e-05 4.0417017e-05 0.00016603747 2.512409e-05 2.7308795e-05 2.1847036e-05 2.6216443e-05 1.6385276e-05 2.4031739e-05 2.8401146e-05 0.010005943 0.00032770555 0.00031350498 0.00019880802 0.0005964241 0.00019662332 0.00032989023 0.000276365 0.00018897686 0.00010814283 0.000119066346 6.9910515e-05 9.721931e-05 9.394225e-05 0.00012343575 0.00037686137 0.008552022 0.00022174741 0.00024140974 0.00012562046 0.0008050633 0.00022283976 0.00067616574 0.00037795372 9.940401e-05 8.629579e-05 0.00013654397 0.00011360458 0.00017477629 0.00011578929 0.00011360458 0.001359978 0.013326691 0.00033425965 0.00048391183 0.00048391183 0.002366034 0.0007001975 0.0010082407 0.0006455799 0.00026653384 0.00020645448 0.00025233327 0.00020973154 0.0002654415 0.00016822218 0.00055273 0.0011010906 0.0033196572 0.00019880802 0.00035173728 0.00026325678 0.0004686189 0.0003331673 0.001894138 0.0010442883 0.00019880802 8.738814e-06 8.3018735e-05 0.00012780516 0.00025451797 0.00013982103 5.570994e-05 0.00020645448 0.008915775 0.00057894643 0.00061936345 0.00032115143 0.0014462738 0.0007635539 0.0028302835 0.001477952 0.00039324665 0.00017914569 0.00019771568 0.00019880802 0.00034518316 0.00033425965 0.00031132027 0.0012212493 0.003166728 0.00022611683 0.00061717874 0.00028510383 0.0007799392 0.0008236332 0.0032770555 0.0018679216 0.00015074454 0.0001496522 0.0001223434 0.00013217457 0.00016385278 0.00023485563 0.00012998986 0.0012955292 0.00019771568 4.0417017e-05 2.7308795e-05 3.1678203e-05 0.0008749738 0.00031132027 4.0417017e-05 2.0754684e-05 0.00013108221 1.2015869e-05 4.1509367e-05 7.4279924e-05 0.0001223434 9.831166e-05 6.226405e-05 0.00015074454 0.026953781 0.0050510345 0.0028117136 0.004052625 0.008904852 0.008997702 0.0035501432 0.007263047 0.017030858 0.0014462738 0.0013140992 0.0023540182 0.007322034 0.0019170773 0.0061652334 0.013433742 0.026229551 0.005600488 0.0039674216 0.0057807257 0.009682606 0.009464136 0.004027501 0.008782509 0.017472167 0.001813304 0.0021071467 0.0025692114 0.010430867 0.0036834101 0.008321536 0.016532745 0.037245918 0.036588322 0.03505248 0.037588917 0.037013248 0.036455058 0.03537909 0.03571772 0.036652774 0.03479905 0.03575923 0.037787724 0.038434397 0.037600935 0.03494761 0.03687015 1954.0 10.976971 21449.0 0.025875332 0.0033568 0.0032169332 0.0036831554 0.0046155998 0.003403422 0.0038230221 0.0069000884 0.0031236887 0.0028439555 0.004242622 0.0035432887 0.004382489 0.0049885777 0.0066669774 0.004429111 0.0058743996 0.0054081776 0.0046155998 0.005548044 0.004941955 0.0047088442 0.0047088442 0.003962889 0.0045689777 0.005967644 0.0036831554 0.0039162664 0.0038696444 0.004662222 0.0040561333 0.005967644 0.00988391 0.0302112 0.0050351997 0.0142664 0.04541004 0.010489999 0.0068534664 0.025735466 0.0060608885 0.029558487 0.003589911 0.0048020887 0.006946711 0.0069000884 0.02415031 0.0058743996 0.02876591 0.004429111 0.008485244 0.0153853325 0.007879155 0.0072730663 0.011935288 0.021772576 0.023217866 0.005501422 0.0036831554 0.0045223553 0.0043358663 0.0045223553 0.0047088442 0.0066203554 0.0055946666 0.0268544 0.0062473775 0.019021865 0.0151056 0.04974591 0.007925778 0.008485244 0.009324444 0.021772576 0.0048487107 0.0045223553 0.020467155 0.012448133 0.025129376 0.028626043 0.011748799 0.0036831554 0.02918551 0.018742133 0.039815377 0.011795422 0.007179822 0.0066669774 0.008671733 0.008438622 0.004429111 0.0033568 0.004429111 0.0039162664 0.004382489 0.0030770665 6.0902853 0.0 0.0 7.0 10.0 459110.0 466944.0 0.0 0.0 124.0 0.0 1.0 0.0 0.0 0.0 1172514800.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 8.0 0.0 4.0 0.0 4.0 0.0 110592.0 4096.0 4096.0 5.0 0.0 0.0 3.0 5.0 0.0 0.0 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 -8192.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -327680.0 0.0 98304.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 5.374083 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -3.223822 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14.263381 0.0 7.8007364 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 19574.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -14016.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -324256.0 0.0 98304.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -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 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 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 -2.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 -2.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 -1.0 0.0 0.0 2.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 -1.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 -1.0 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 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 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 1.0 0.0 0.0 0.0 2.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 -1.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 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 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 -1.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 120.0 131516.0 13208.0 151552.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 64.0 124488.0 0.0 0.0 516.0 114688.0 0.0 0.0 0.0 0.0