/* a[i] = P b[i - 1] + Q a[i + 1] b[i] = P a[i + 1] + Q b[i - 1] a[N + 1] = 0 b[0] = 1 */ import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.complex, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } int N; real P, Q; void main() { try { for (; ; ) { N = readInt(); P = readReal(); Q = readReal(); real ans; if (Q == 0.0) { ans = 1.0; } else { auto a = new real[][](N + 2, 2); auto b = new real[][](N + 2, 2); a[1] = [0.0, 1.0]; b[0] = [1.0, 0.0]; foreach (i; 1 .. N + 1) { // a[i + 1] = (a[i] - P b[i - 1]) / Q foreach (d; 0 .. 2) { a[i + 1][d] = (a[i][d] - P * b[i - 1][d]) / Q; } // b[i] = P a[i + 1] + Q b[i - 1] foreach (d; 0 .. 2) { b[i][d] = P * a[i + 1][d] + Q * b[i - 1][d]; } } ans = -a[N + 1][0] / a[N + 1][1]; } writefln("%.20f", ans); } } catch (EOFException e) { } }