import core.thread; import std.conv, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.range, std.regex; // Input class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { tokens = readln.split; if (tokens.empty && stdin.eof) throw new EOFException; } auto token = tokens[0]; tokens.popFront; return token; } int readInt() { return to!int(readToken); } long readLong() { return to!long(readToken); } real readReal() { return to!real(readToken); } // chmin/chmax void chmin(T)(ref T t, in T f) { if (t > f) t = f; } void chmax(T)(ref T t, in T f) { if (t < f) t = f; } // Pair struct Pair(S, T) { S x; T y; int opCmp( const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } int opCmp(ref const Pair p) const { return (x < p.x) ? -1 : (x > p.x) ? +1 : (y < p.y) ? -1 : (y > p.y) ? +1 : 0; } string toString() const { return "(" ~ to!string(x) ~ ", " ~ to!string(y) ~ ")"; } } auto pair(S, T)(inout(S) x, inout(T) y) { return Pair!(S, T)(x, y); } // Array int binarySearch(T)(in T[] as, in bool delegate(T) test) { int low = -1, upp = as.length; for (; low + 1 < upp; ) { int mid = (low + upp) >> 1; (test(as[mid]) ? low : upp) = mid; } return upp; } int lowerBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a < val); }); } int upperBound(T)(in T[] as, in T val) { return as.binarySearch((T a) { return (a <= val); }); } T[] unique(T)(in T[] as) { T[] bs; foreach (a; as) if (bs.empty || bs[$ - 1] != a) bs ~= a; return bs; } immutable M = 14; int N; real[3] P; void main(string[] args) { try { for (; ; ) { N = 80 - readInt; foreach (i; 0 .. 3) { P[i] = readReal / 100.0; } auto dp = new real[][](N + 1, M + 1); foreach (x; 0 .. M + 1) { dp[0][x] = x; } foreach (n; 1 .. N + 1) { foreach (m; 0 .. M + 1) { auto prob = new real[m]; foreach (i; 0 .. m) { int cnt = 2; if (i == 0) { --cnt; } if (i == m - 1) { --cnt; } prob[i] = P[cnt]; } dp[n][m] = 0.0; foreach (h; 0 .. 1 << m) { real prod = 1.0; foreach (i; 0 .. m) { prod *= (h & 1 << i) ? (1.0 - prob[i]) : prob[i]; } real sum = 0.0; int sz; foreach (i; 0 .. m + 1) { if (h & 1 << i) { ++sz; } else { sum += dp[n - 1][sz]; sz = 0; } } dp[n][m] += prod * sum; } } } real ans = dp[N][M]; ans *= 2; writefln("%.10f", ans); } } catch (EOFException) {} }