#include #include #include #include #include using namespace std; double dp[59][59][59], ndp[59][59][59]; int main() { int A, B, C, N; cin >> A >> B >> C >> N; dp[A][B][C] = 1.0; for (int i = 0; i < N; ++i) { for (int j = 0; j <= A; ++j) { for (int k = 0; k <= B; ++k) { for (int l = 0; l <= C; ++l) { ndp[j][k][l] = 0.0; } } } for (int j = 0; j <= A; ++j) { for (int k = 0; k <= B; ++k) { for (int l = 0; l <= C; ++l) { if (j + k + l <= 1) { continue; } double total = (j + k + l) * (j + k + l - 1) / 2.0; if (j >= 2) { double p = j * (j - 1) / 2.0; ndp[j - 1][k][l] += dp[j][k][l] * p / total; } if (k >= 2) { double p = k * (k - 1) / 2.0; ndp[j][k - 1][l] += dp[j][k][l] * p / total; } if (l >= 2) { double p = l * (l - 1) / 2.0; ndp[j][k][l - 1] += dp[j][k][l] * p / total; } ndp[j][k][l] += dp[j][k][l] * (j * k + k * l + l * j) / total; } } } for (int j = 0; j <= A; ++j) { for (int k = 0; k <= B; ++k) { for (int l = 0; l <= C; ++l) { dp[j][k][l] = ndp[j][k][l]; } } } } double a1 = 0.0, a2 = 0.0, a3 = 0.0; for (int i = 0; i <= A; ++i) { for (int j = 0; j <= B; ++j) { for (int k = 0; k <= C; ++k) { a1 += (A - i) * dp[i][j][k]; a2 += (B - j) * dp[i][j][k]; a3 += (C - k) * dp[i][j][k]; } } } cout.precision(15); cout << fixed << a1 << ' ' << a2 << ' ' << a3 << endl; return 0; }