// URL: https://yukicoder.me/problems/no/173 import std.algorithm, std.array, std.container, std.math, std.range, std.typecons, std.string; import std.conv, std.random; const iter = 100_000; version(unittest) {} else void main() { int N; real Pa, Pb; io.getV(N, Pa, Pb); int[] A; io.getA(N, A); int[] B; io.getA(N, B); A.sort; B.sort; auto calc() { auto decide(ref int[] a, double p) { if (a.length == 1) { auto r = a[0]; a = []; return r; } auto q = uniform01; if (q < p) { auto r = a[0]; a = a[1..$]; return r; } else { auto i = uniform(1, a.length); auto r = a[i]; a = a[0..i] ~ a[i+1..$]; return r; } } auto a = A.dup, b = B.dup, sa = 0, sb = 0; foreach (_; 0..N) { auto ca = decide(a, Pa), cb = decide(b, Pb); if (ca > cb) sa += ca+cb; else if (ca < cb) sb += ca+cb; } return sa > sb; } auto r = 0; foreach (_; 0..iter) r += calc; io.put(r.to!double/iter); } auto io = IO!("%.4f")(); import std.stdio; struct IO(string floatFormat = "%.10f", string delimiter = " ", alias IN = stdin, alias OUT = stdout) { import std.conv, std.format, std.meta, std.traits; alias assignable = hasAssignableElements; auto getV(T...)(ref T v) { foreach (ref w; v) get(w); } auto getA(T)(size_t n, ref T v) if (assignable!T) { v = new T(n); foreach (ref w; v) get(w); } auto getC(T...)(size_t n, ref T v) if (allSatisfy!(assignable, 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 (assignable!T && assignable!(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~");"); } } auto put(bool flush = false, T...)(T v) { foreach (i, w; v) { putA(w); if (i < v.length-1) OUT.write(delimiter); } OUT.writeln; static if (flush) OUT.flush(); } auto putB(S, T)(bool c, S t, T f) { if (c) put(t); else put(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 putR(T)(T v) { auto w = v; while (!w.empty) { putA(w.front); w.popFront(); if (!w.empty) OUT.write(delimiter); } } auto putA(T)(T v) { static if (isInputRange!T && !isSomeString!T) putR(v); else if (isFloatingPoint!T) OUT.write(format(floatFormat, v)); else OUT.write(v); } } }