#include double memo[51][51][51][51][3]; double recursion(int A, int B, int C, int N, int k) { if (N == 0) return 0.0; else if (memo[A][B][C][N][k] >= 0.0) return memo[A][B][C][N][k]; int all = (A + B + C) * (A + B + C - 1) / 2, sum = A * (A - 1) / 2 + B * (B - 1) / 2 + C * (C - 1) / 2; memo[A][B][C][N][k] = recursion(A, B, C, N - 1, k) * (all - sum) / all; if (A >= 2) memo[A][B][C][N][k] += (recursion(A - 1, B, C, N - 1, k) + ((k == 0)? 1: 0)) * (A * (A - 1) / 2) / all; if (B >= 2) memo[A][B][C][N][k] += (recursion(A, B - 1, C, N - 1, k) + ((k == 1)? 1: 0)) * (B * (B - 1) / 2) / all; if (C >= 2) memo[A][B][C][N][k] += (recursion(A, B, C - 1, N - 1, k) + ((k == 2)? 1: 0)) * (C * (C - 1) / 2) / all; return memo[A][B][C][N][k]; } int main() { int A, B, C, N; scanf("%d %d %d %d", &A, &B, &C, &N); int a, b, c, n, k; for (a = 0; a <= A; a++) for (b = 0; b <= B; b++) for (c = 0; c <= C; c++) for (n = 0; n <= N; n++) for (k = 0; k <= 2; k++) memo[a][b][c][n][k] = -1.0; printf("%.7f %.7f %.7f\n", recursion(A, B, C, N, 0), recursion(A, B, C, N, 1), recursion(A, B, C, N, 2)); fflush(stdout); return 0; }