import std.stdio, std.conv, std.functional, std.string; import std.algorithm, std.array, std.container, std.range, std.typecons; import std.bigint, std.numeric, std.math, std.random; import core.bitop; string FMT_F = "%.10f"; static File _f; void file_io(string fn) { _f = File(fn, "r"); } static string[] s_rd; T _RD(T = long)() { while(!s_rd.length) s_rd = readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; } T _RD(T = long)(File f) { while(!s_rd.length) s_rd = f.readln.chomp.split; string res = s_rd[0]; s_rd.popFront; return res.to!T; } T[] _RDA(T = long)(T fix = 0) { auto r = readln.chomp.split.to!(T[]); r[] += fix; return r; } T[] _RDA(T = long)(File f, T fix = 0) { auto r = f.readln.chomp.split.to!(T[]); r[] += fix; return r; } T RD(T = long)() { if (_f.isOpen) return _RD!T(_f); else return _RD!T; } T[] RDA(T = long)(T fix = 0) { if (_f.isOpen) return _RDA!T(_f, fix); else return _RDA!T(fix); } size_t[] MAKE_IDX(alias less = "a < b", Range)(Range range) { auto idx = new size_t[](range.length); makeIndex!(less)(range, idx); return idx;} size_t MIN_POS(alias less = "a < b", Range)(Range range) { auto r = minPos!(less)(range); return range.length - r.length; } void chmin(T)(ref T x, T y) { x = min(x, y); } void chmax(T)(ref T x, T y) { x = max(x, y); } bool inside(T)(T x, T b, T e) { return x >= b && x < e; } T lcm(T)(T x, T y) { return x * (y / gcd(x, y)); } double[] rotate(double[] vec, double rad) { return [cos(rad)*vec[0] - sin(rad)*vec[1], sin(rad)*vec[0] + cos(rad)*vec[1]]; } //long mod = 10^^9 + 7; long mod = 998_244_353; //long mod = 1_000_003; void moda(ref long x, long y) { x = (x + y) % mod; } void mods(ref long x, long y) { x = ((x + mod) - (y % mod)) % mod; } void modm(ref long x, long y) { x = (x * y) % mod; } void modpow(ref long x, long y) { if (!y) { x = 1; return; } auto t = x; x.modpow(y>>1); x.modm(x); if (y&1) x.modm(t); } void modd(ref long x, long y) { y.modpow(mod - 2); x.modm(y); } void main() { auto A = RD; auto B = RD; auto C = RD; auto N = RD; auto dp = new double[][][](A+1, B+1, C+1); foreach (i; 0..A+1) foreach (j; 0..B+1) dp[i][j][] = 0.0; dp[A][B][C] = 1.0; foreach (i; 0..N) { auto ndp = new double[][][](A+1, B+1, C+1); foreach (j; 0..A+1) foreach (k; 0..B+1) ndp[j][k][] = 0.0; foreach (a; 0..A+1) { foreach (b; 0..B+1) { foreach (c; 0..C+1) { if (dp[a][b][c] == 0.0) continue; double cnt = a + b + c; if (cnt < 2) { ndp[a][b][c] += dp[a][b][c]; continue; } auto pa = (a / cnt) * ((a-1) / (cnt-1)); auto pb = (b / cnt) * ((b-1) / (cnt-1)); auto pc = (c / cnt) * ((c-1) / (cnt-1)); ndp[a-1][b][c] += dp[a][b][c] * pa; ndp[a][b-1][c] += dp[a][b][c] * pb; ndp[a][b][c-1] += dp[a][b][c] * pc; ndp[a][b][c] += dp[a][b][c] * (1.0 - pa - pb - pc); } } } dp = ndp; } double ans_a = 0.0, ans_b = 0.0, ans_c = 0.0; foreach (a; 0..A+1) { foreach (b; 0..B+1) { foreach (c; 0..C+1) { ans_a += dp[a][b][c] * (A - a); ans_b += dp[a][b][c] * (B - b); ans_c += dp[a][b][c] * (C - c); } } } writefln(FMT_F ~ " " ~ FMT_F ~ " " ~ FMT_F, ans_a, ans_b, ans_c); stdout.flush; debug readln; }