// URL: https://yukicoder.me/problems/no/302 import std.algorithm, std.array, std.container, std.math, std.range, std.typecons, std.string; import std.mathspecial; version(unittest) {} else void main() { long N; io.getV(N); long L, R; io.getV(L, R); if (L > N*6) io.put!"{exit: true}"(0); if (N < 5000) { auto dp = new double[][](N+1, N*6+2); foreach (dpi; dp) dpi[] = 0; dp[0][0] = 1; foreach (i; 0..N) { foreach (j; 0..i*6+1) { dp[i+1][j+1] += dp[i][j]/6; dp[i+1][j+7] -= dp[i][j]/6; } foreach (j; 1..(i+1)*6+1) dp[i+1][j] += dp[i+1][j-1]; } io.put(dp[N][L..R+1].sum); } else { auto mu = 7.0/2*N, sigma = sqrt(35.0/12*N); io.put((erfc(-(R+0.5-mu)/(sqrt(2.0)*sigma))-erfc(-(L-0.5-mu)/(sqrt(2.0)*sigma)))/2); } } auto io = IO!()(); import std.stdio; struct IO(alias IN = stdin, alias OUT = stdout) { import std.conv, std.format, std.meta, std.traits, core.stdc.stdlib; auto getV(T...)(ref T v) { foreach (ref w; v) get(w); } auto getA(T)(size_t n, ref T v) if (hasAssignableElements!T) { v = new T(n); foreach (ref w; v) get(w); } auto getC(T...)(size_t n, ref T v) if (allSatisfy!(hasAssignableElements, T)) { foreach (ref w; v) w = new typeof(w)(n); foreach (i; 0..n) foreach (ref w; v) get(w[i]); } auto getM(T)(size_t r, size_t c, ref T v) if (hasAssignableElements!T && hasAssignableElements!(ElementType!T)) { v = new T(r); foreach (ref w; v) getA(c, w); } template getS(E...) { auto getS(T)(size_t n, ref T v) { v = new T(n); foreach (ref w; v) foreach (e; E) mixin("get(w."~e~");"); } } const struct PutConf { bool newline = true, flush, exit; string floatFormat = "%.10f", delimiter = " "; } auto put(alias conf = "{}", T...)(T v) { mixin("const PutConf c = "~conf~"; putMain!c(v);"); } auto putB(alias conf = "{}", S, T)(bool c, S t, T f) { if (c) put!conf(t); else put!conf(f); } auto putRaw(T...)(T v) { OUT.write(v); OUT.writeln; } private { dchar[] buf; auto sp = (new dchar[](0)).splitter; void nextLine() { IN.readln(buf); sp = buf.splitter; } auto get(T)(ref T v) { if (sp.empty) nextLine(); v = sp.front.to!T; sp.popFront(); } auto putMain(PutConf c, T...)(T v) { foreach (i, w; v) { putOne!c(w); if (i < v.length-1) OUT.write(c.delimiter); } static if (c.newline) OUT.writeln; static if (c.flush) OUT.flush(); static if (c.exit) exit(0); } auto putOne(PutConf c, T)(T v) { static if (isInputRange!T && !isSomeString!T) putRange!c(v); else if (isFloatingPoint!T) OUT.write(format(c.floatFormat, v)); else OUT.write(v); } auto putRange(PutConf c, T)(T v) { auto w = v; while (!w.empty) { putOne!c(w.front); w.popFront(); if (!w.empty) OUT.write(c.delimiter); } } } }