import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, 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)); } enum L = 52; void main() { auto dp = new real[][][][](L + 1, L + 1, L + 1, L + 1); foreach (n; 0 .. L + 1) { foreach (a; 1 .. L + 1) foreach (b; 1 .. L + 1) foreach (c; 1 .. L + 1) { if (n == 0) { dp[n][a][b][c] = 0.0L; } else { real denom = (a + b + c) * (a + b + c - 1) / 2.0L; real t = 0.0L; if (a >= 2) t += (a * (a - 1) / 2.0L) / denom * (1 + dp[n - 1][a - 1][b][c]); if (b >= 2) t += (b * (b - 1) / 2.0L) / denom * (0 + dp[n - 1][a][b - 1][c]); if (c >= 2) t += (c * (c - 1) / 2.0L) / denom * (0 + dp[n - 1][a][b][c - 1]); t += (a * b + b * c + c * a) / denom * (0 + dp[n - 1][a][b][c]); dp[n][a][b][c] = t; } } } try { for (; ; ) { const A = readInt(); const B = readInt(); const C = readInt(); const N = readInt(); writefln("%.12f %.12f %.12f", dp[N][A][B][C], dp[N][B][C][A], dp[N][C][A][B]); } } catch (EOFException e) { } }