y_before(1)=0.000000;
y_before(2)=0.007006;
y_before(3)=0.013546;
y_before(4)=0.019977;
y_before(5)=0.026287;
y_before(6)=0.032478;
y_before(7)=0.038555;
y_before(8)=0.044520;
y_before(9)=0.050375;
y_before(10)=0.056124;
y_before(11)=0.061769;
y_before(12)=0.067313;
y_before(13)=0.072758;
y_before(14)=0.078106;
y_before(15)=0.083360;
y_before(16)=0.088522;
y_before(17)=0.093595;
y_before(18)=0.098580;
y_before(19)=0.103478;
y_before(20)=0.108294;
y_before(21)=0.113027;
y_before(22)=0.117680;
y_before(23)=0.122256;
y_before(24)=0.126754;
y_before(25)=0.131178;
y_before(26)=0.135529;
y_before(27)=0.139808;
y_before(28)=0.144017;
y_before(29)=0.148158;
y_before(30)=0.152231;
y_before(31)=0.156239;
y_before(32)=0.160183;
y_before(33)=0.164063;
y_before(34)=0.167883;
y_before(35)=0.171641;
y_before(36)=0.175341;
y_before(37)=0.178982;
y_before(38)=0.182567;
y_before(39)=0.186096;
y_before(40)=0.189570;
y_before(41)=0.192992;
y_before(42)=0.196360;
y_before(43)=0.199677;
y_before(44)=0.202944;
y_before(45)=0.206162;
y_before(46)=0.209331;
y_before(47)=0.212452;
y_before(48)=0.215527;
y_before(49)=0.218555;
y_before(50)=0.221539;
y_before(51)=0.224479;
y_before(52)=0.227376;
y_before(53)=0.230230;
y_before(54)=0.233042;
y_before(55)=0.235814;
y_before(56)=0.238545;
y_before(57)=0.241237;
y_before(58)=0.243890;
y_before(59)=0.246505;
y_before(60)=0.249082;
y_before(61)=0.251623;
y_before(62)=0.254128;
y_before(63)=0.256597;
y_before(64)=0.259031;
y_before(65)=0.261431;
y_before(66)=0.263798;
y_before(67)=0.266131;
y_before(68)=0.268432;
y_before(69)=0.270701;
y_before(70)=0.272938;
y_before(71)=0.275144;
y_before(72)=0.277320;
y_before(73)=0.279467;
y_before(74)=0.281583;
y_before(75)=0.283671;
y_before(76)=0.285731;
y_before(77)=0.287762;
y_before(78)=0.289766;
y_before(79)=0.291743;
y_before(80)=0.293693;
y_before(81)=0.295617;
y_before(82)=0.297516;
y_before(83)=0.299389;
y_before(84)=0.301237;
y_before(85)=0.303060;
y_before(86)=0.304859;
y_before(87)=0.306635;
y_before(88)=0.308387;
y_before(89)=0.310115;
y_before(90)=0.311822;
y_before(91)=0.313505;
y_before(92)=0.315167;
y_before(93)=0.316807;
y_before(94)=0.318426;
y_before(95)=0.320024;
y_before(96)=0.321601;
y_before(97)=0.323158;
y_before(98)=0.324694;
y_before(99)=0.326211;
y_before(100)=0.327708;
y_before(101)=0.329187;
y_before(102)=0.330646;
y_before(103)=0.332087;
y_before(104)=0.333509;
y_before(105)=0.334913;
y_before(106)=0.336299;
y_before(107)=0.337668;
y_before(108)=0.339020;
y_before(109)=0.340354;
y_before(110)=0.341672;
y_before(111)=0.342973;
y_before(112)=0.344257;
y_before(113)=0.345526;
y_before(114)=0.346779;
y_before(115)=0.348016;
y_before(116)=0.349238;
y_before(117)=0.350444;
y_before(118)=0.351636;
y_before(119)=0.352813;
y_before(120)=0.353975;
y_before(121)=0.355123;
y_before(122)=0.356257;
y_before(123)=0.357376;
y_before(124)=0.358482;
y_before(125)=0.359575;
y_before(126)=0.360654;
y_before(127)=0.361720;
y_before(128)=0.362773;
y_before(129)=0.363813;
y_before(130)=0.364840;
y_before(131)=0.365855;
y_before(132)=0.366857;
y_before(133)=0.367848;
y_before(134)=0.368826;
y_before(135)=0.369793;
y_before(136)=0.370748;
y_before(137)=0.371691;
y_before(138)=0.372623;
y_before(139)=0.373544;
y_before(140)=0.374454;
y_before(141)=0.375352;
y_before(142)=0.376240;
y_before(143)=0.377118;
y_before(144)=0.377985;
y_before(145)=0.378842;
y_before(146)=0.379688;
y_before(147)=0.380524;
y_before(148)=0.381351;
y_before(149)=0.382167;
y_before(150)=0.382974;
y_before(151)=0.383772;
y_before(152)=0.384559;
y_before(153)=0.385338;
y_before(154)=0.386108;
y_before(155)=0.386868;
y_before(156)=0.387619;
y_before(157)=0.388362;
y_before(158)=0.389096;
y_before(159)=0.389821;
y_before(160)=0.390538;
y_before(161)=0.391246;
y_before(162)=0.391946;
y_before(163)=0.392638;
y_before(164)=0.393322;
y_before(165)=0.393997;
y_before(166)=0.394665;
y_before(167)=0.395326;
y_before(168)=0.395978;
y_before(169)=0.396623;
y_before(170)=0.397260;
y_before(171)=0.397890;
y_before(172)=0.398513;
y_before(173)=0.399129;
y_before(174)=0.399737;
y_before(175)=0.400338;
y_before(176)=0.400933;
y_before(177)=0.401520;
y_before(178)=0.402101;
y_before(179)=0.402675;
y_before(180)=0.403243;
y_before(181)=0.403804;
y_before(182)=0.404359;
y_before(183)=0.404907;
y_before(184)=0.405449;
y_before(185)=0.405984;
y_before(186)=0.406514;
y_before(187)=0.407037;
y_before(188)=0.407555;
y_before(189)=0.408067;
y_before(190)=0.408572;
y_before(191)=0.409072;
y_before(192)=0.409567;
y_before(193)=0.410055;
y_before(194)=0.410539;
y_before(195)=0.411016;
y_before(196)=0.411488;
y_before(197)=0.411955;
y_before(198)=0.412417;
y_before(199)=0.412873;
y_before(200)=0.413324;
y_before(201)=0.413770;
y_before(202)=0.414211;
y_before(203)=0.414647;
y_before(204)=0.415079;
y_before(205)=0.415505;
y_before(206)=0.415926;
y_before(207)=0.416343;
y_before(208)=0.416755;
y_before(209)=0.417162;
y_before(210)=0.417565;
y_before(211)=0.417963;
y_before(212)=0.418357;
y_before(213)=0.418746;
y_before(214)=0.419131;
y_before(215)=0.419512;
y_before(216)=0.419888;
y_before(217)=0.420260;
y_before(218)=0.420628;
y_before(219)=0.420992;
y_before(220)=0.421352;
y_before(221)=0.421708;
y_before(222)=0.422060;
y_before(223)=0.422407;
y_before(224)=0.422751;
y_before(225)=0.423092;
y_before(226)=0.423428;
y_before(227)=0.423761;
y_before(228)=0.424089;
y_before(229)=0.424415;
y_before(230)=0.424736;
y_before(231)=0.425054;
y_before(232)=0.425369;
y_before(233)=0.425680;
y_before(234)=0.425987;
y_before(235)=0.426291;
y_before(236)=0.426592;
y_before(237)=0.426890;
y_before(238)=0.427184;
y_before(239)=0.427475;
y_before(240)=0.427762;
y_before(241)=0.428047;
y_before(242)=0.428328;
y_before(243)=0.428606;
y_before(244)=0.428881;
y_before(245)=0.429153;
y_before(246)=0.429423;
y_before(247)=0.429689;
y_before(248)=0.429952;
y_before(249)=0.430212;
y_before(250)=0.430469;
y_before(251)=0.430724;
y_before(252)=0.430976;
y_before(253)=0.431225;
y_before(254)=0.431471;
y_before(255)=0.431714;
y_before(256)=0.431955;
y_before(257)=0.432193;
y_before(258)=0.432429;
y_before(259)=0.432662;
y_before(260)=0.432892;
y_before(261)=0.433120;
y_before(262)=0.433346;
y_before(263)=0.433569;
y_before(264)=0.433789;
y_before(265)=0.434007;
y_before(266)=0.434223;
y_before(267)=0.434436;
y_before(268)=0.434647;
y_before(269)=0.434856;
y_before(270)=0.435062;
y_before(271)=0.435266;
y_before(272)=0.435468;
y_before(273)=0.435668;
y_before(274)=0.435865;
y_before(275)=0.436060;
y_before(276)=0.436254;
y_before(277)=0.436445;
y_before(278)=0.436634;
y_before(279)=0.436821;
y_before(280)=0.437005;
y_before(281)=0.437188;
y_before(282)=0.437369;
y_before(283)=0.437548;
y_before(284)=0.437725;
y_before(285)=0.437900;
y_before(286)=0.438073;
y_before(287)=0.438244;
y_before(288)=0.438414;
y_before(289)=0.438581;
y_before(290)=0.438747;
y_before(291)=0.438911;
y_before(292)=0.439073;
y_before(293)=0.439233;
y_before(294)=0.439392;
y_before(295)=0.439548;
y_before(296)=0.439704;
y_before(297)=0.439857;
y_before(298)=0.440009;
y_before(299)=0.440159;
y_before(300)=0.440308;
y_before(301)=0.440454;
y_before(302)=0.440600;
y_before(303)=0.440743;
y_before(304)=0.440886;
y_before(305)=0.441026;
y_before(306)=0.441165;
y_before(307)=0.441303;
y_before(308)=0.441439;
y_before(309)=0.441574;
y_before(310)=0.441707;
y_before(311)=0.441839;
y_before(312)=0.441969;
y_before(313)=0.442098;
y_before(314)=0.442225;
y_before(315)=0.442351;
y_before(316)=0.442476;
y_before(317)=0.442600;
y_before(318)=0.442722;
y_before(319)=0.442842;
y_before(320)=0.442962;
y_before(321)=0.443080;
y_before(322)=0.443197;
y_before(323)=0.443312;
y_before(324)=0.443427;
y_before(325)=0.443540;
y_before(326)=0.443652;
y_before(327)=0.443762;
y_before(328)=0.443872;
y_before(329)=0.443980;
y_before(330)=0.444087;
y_before(331)=0.444193;
y_before(332)=0.444298;
y_before(333)=0.444402;
y_before(334)=0.444504;
y_before(335)=0.444606;
y_before(336)=0.444706;
y_before(337)=0.444806;
y_before(338)=0.444904;
y_before(339)=0.445001;
y_before(340)=0.445097;
y_before(341)=0.445192;
y_before(342)=0.445286;
y_before(343)=0.445379;
y_before(344)=0.445471;
y_before(345)=0.445562;
y_before(346)=0.445652;
y_before(347)=0.445741;
y_before(348)=0.445830;
y_before(349)=0.445917;
y_before(350)=0.446003;
y_before(351)=0.446088;
y_before(352)=0.446173;
y_before(353)=0.446256;
y_before(354)=0.446339;
y_before(355)=0.446421;
y_before(356)=0.446501;
y_before(357)=0.446581;
y_before(358)=0.446661;
y_before(359)=0.446739;
y_before(360)=0.446816;
y_before(361)=0.446893;
y_before(362)=0.446969;
y_before(363)=0.447043;
y_before(364)=0.447118;
y_before(365)=0.447191;
y_before(366)=0.447263;
y_before(367)=0.447335;
y_before(368)=0.447406;
y_before(369)=0.447477;
y_before(370)=0.447546;
y_before(371)=0.447615;
y_before(372)=0.447683;
y_before(373)=0.447750;
y_before(374)=0.447817;
y_before(375)=0.447882;
y_before(376)=0.447948;
y_before(377)=0.448012;
y_before(378)=0.448076;
y_before(379)=0.448139;
y_before(380)=0.448201;
y_before(381)=0.448263;
y_before(382)=0.448324;
y_before(383)=0.448384;
y_before(384)=0.448444;
y_before(385)=0.448503;
y_before(386)=0.448562;
y_before(387)=0.448619;
y_before(388)=0.448677;
y_before(389)=0.448733;
y_before(390)=0.448789;
y_before(391)=0.448845;
y_before(392)=0.448899;
y_before(393)=0.448954;
y_before(394)=0.449007;
y_before(395)=0.449060;
y_before(396)=0.449113;
y_before(397)=0.449165;
y_before(398)=0.449216;
y_before(399)=0.449267;
y_before(400)=0.449317;
y_before(401)=0.449367;
y_before(402)=0.449416;
y_before(403)=0.449465;
y_before(404)=0.449513;
y_before(405)=0.449561;
y_before(406)=0.449608;
y_before(407)=0.449655;
y_before(408)=0.449701;
y_before(409)=0.449746;
y_before(410)=0.449791;
y_before(411)=0.449836;
y_before(412)=0.449880;
y_before(413)=0.449924;
y_before(414)=0.449967;
y_before(415)=0.450010;
y_before(416)=0.450052;
y_before(417)=0.450094;
y_before(418)=0.450136;
y_before(419)=0.450177;
y_before(420)=0.450217;
y_before(421)=0.450257;
y_before(422)=0.450297;
y_before(423)=0.450336;
y_before(424)=0.450375;
y_before(425)=0.450414;
y_before(426)=0.450452;
y_before(427)=0.450489;
y_before(428)=0.450526;
y_before(429)=0.450563;
y_before(430)=0.450600;
y_before(431)=0.450636;
y_before(432)=0.450671;
y_before(433)=0.450707;
y_before(434)=0.450741;
y_before(435)=0.450776;
y_before(436)=0.450810;
y_before(437)=0.450844;
y_before(438)=0.450877;
y_before(439)=0.450910;
y_before(440)=0.450943;
y_before(441)=0.450975;
y_before(442)=0.451007;
y_before(443)=0.451039;
y_before(444)=0.451070;
y_before(445)=0.451101;
y_before(446)=0.451132;
y_before(447)=0.451162;
y_before(448)=0.451192;
y_before(449)=0.451222;
y_before(450)=0.451252;
y_before(451)=0.451281;
y_before(452)=0.451309;
y_before(453)=0.451338;
y_before(454)=0.451366;
y_before(455)=0.451394;
y_before(456)=0.451421;
y_before(457)=0.451449;
y_before(458)=0.451476;
y_before(459)=0.451502;
y_before(460)=0.451529;
y_before(461)=0.451555;
y_before(462)=0.451580;
y_before(463)=0.451606;
y_before(464)=0.451631;
y_before(465)=0.451656;
y_before(466)=0.451681;
y_before(467)=0.451706;
y_before(468)=0.451730;
y_before(469)=0.451754;
y_before(470)=0.451777;
y_before(471)=0.451801;
y_before(472)=0.451824;
y_before(473)=0.451847;
y_before(474)=0.451870;
y_before(475)=0.451892;
y_before(476)=0.451914;
y_before(477)=0.451936;
y_before(478)=0.451958;
y_before(479)=0.451980;
y_before(480)=0.452001;
y_before(481)=0.452022;
y_before(482)=0.452043;
y_before(483)=0.452064;
y_before(484)=0.452084;
y_before(485)=0.452104;
y_before(486)=0.452124;
y_before(487)=0.452144;
y_before(488)=0.452163;
y_before(489)=0.452183;
y_before(490)=0.452202;
y_before(491)=0.452221;
y_before(492)=0.452240;
y_before(493)=0.452258;
y_before(494)=0.452276;
y_before(495)=0.452295;
y_before(496)=0.452312;
y_before(497)=0.452330;
y_before(498)=0.452348;
y_before(499)=0.452365;
y_before(500)=0.452382;
y_after(1)=0.000000;
y_after(2)=0.377301;
y_after(3)=0.746311;
y_after(4)=1.116216;
y_after(5)=1.488258;
y_after(6)=1.808261;
y_after(7)=1.956115;
y_after(8)=1.979601;
y_after(9)=1.992271;
y_after(10)=1.996930;
y_after(11)=1.998794;
y_after(12)=1.999525;
y_after(13)=1.999813;
y_after(14)=1.999926;
y_after(15)=1.999971;
y_after(16)=1.999989;
y_after(17)=1.999995;
y_after(18)=1.999998;
y_after(19)=1.999999;
y_after(20)=2.000000;
y_after(21)=2.000000;
y_after(22)=2.000000;
y_after(23)=2.000000;
y_after(24)=2.000000;
y_after(25)=2.000000;
y_after(26)=2.000000;
y_after(27)=2.000000;
y_after(28)=2.000000;
y_after(29)=2.000000;
y_after(30)=2.000000;
y_after(31)=2.000000;
y_after(32)=2.000000;
y_after(33)=2.000000;
y_after(34)=2.000000;
y_after(35)=2.000000;
y_after(36)=2.000000;
y_after(37)=2.000000;
y_after(38)=2.000000;
y_after(39)=2.000000;
y_after(40)=2.000000;
y_after(41)=2.000000;
y_after(42)=2.000000;
y_after(43)=2.000000;
y_after(44)=2.000000;
y_after(45)=2.000000;
y_after(46)=2.000000;
y_after(47)=2.000000;
y_after(48)=2.000000;
y_after(49)=2.000000;
y_after(50)=2.000000;
y_after(51)=2.000000;
y_after(52)=2.000000;
y_after(53)=2.000000;
y_after(54)=2.000000;
y_after(55)=2.000000;
y_after(56)=2.000000;
y_after(57)=2.000000;
y_after(58)=2.000000;
y_after(59)=2.000000;
y_after(60)=2.000000;
y_after(61)=2.000000;
y_after(62)=2.000000;
y_after(63)=2.000000;
y_after(64)=2.000000;
y_after(65)=2.000000;
y_after(66)=2.000000;
y_after(67)=2.000000;
y_after(68)=2.000000;
y_after(69)=2.000000;
y_after(70)=2.000000;
y_after(71)=2.000000;
y_after(72)=2.000000;
y_after(73)=2.000000;
y_after(74)=2.000000;
y_after(75)=2.000000;
y_after(76)=2.000000;
y_after(77)=2.000000;
y_after(78)=2.000000;
y_after(79)=2.000000;
y_after(80)=2.000000;
y_after(81)=2.000000;
y_after(82)=2.000000;
y_after(83)=2.000000;
y_after(84)=2.000000;
y_after(85)=2.000000;
y_after(86)=2.000000;
y_after(87)=2.000000;
y_after(88)=2.000000;
y_after(89)=2.000000;
y_after(90)=2.000000;
y_after(91)=2.000000;
y_after(92)=2.000000;
y_after(93)=2.000000;
y_after(94)=2.000000;
y_after(95)=2.000000;
y_after(96)=2.000000;
y_after(97)=2.000000;
y_after(98)=2.000000;
y_after(99)=2.000000;
y_after(100)=2.000000;
y_after(101)=2.000000;
y_after(102)=2.000000;
y_after(103)=2.000000;
y_after(104)=2.000000;
y_after(105)=2.000000;
y_after(106)=2.000000;
y_after(107)=2.000000;
y_after(108)=2.000000;
y_after(109)=2.000000;
y_after(110)=2.000000;
y_after(111)=2.000000;
y_after(112)=2.000000;
y_after(113)=2.000000;
y_after(114)=2.000000;
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y_after(500)=2.000000;