#include #define rep(i,n) for(int i = 0; i < (n); i++) using namespace std; typedef long long ll; template < class T > vector< vector< T > > bicoef_table(int N) { vector< vector< T > > table(N + 1, vector< T >(N + 1)); table[0][0] = 1; for(int i = 1; i <= N; i++) { table[i][0] = 1; for(int j = 1; j <= N; j++) { table[i][j] = table[i - 1][j - 1] + table[i - 1][j]; } } return table; } using ld = long double; ld dp[51][51][51][51] = {0.0}; int main(){ cin.tie(0); ios::sync_with_stdio(0); int A,B,C,N; cin >> A >> B >> C >> N; dp[A][B][C][0] = 1.0; auto bt = bicoef_table(200); auto comb = [bt](int N, int K) { if(N < K) return ld(0.0); return bt[N][K]; }; for(int n = 0; n < N; n++) for(int a = A; a >= 0; a--) for(int b = B; b >= 0; b--) for(int c = C; c >= 0; c--) if(a + b + c > 1) { if(a) dp[a - 1][b][c][n + 1] += dp[a][b][c][n] * comb(a, 2) / comb(a + b + c, 2); if(b) dp[a][b - 1][c][n + 1] += dp[a][b][c][n] * comb(b, 2) / comb(a + b + c, 2); if(c) dp[a][b][c - 1][n + 1] += dp[a][b][c][n] * comb(c, 2) / comb(a + b + c, 2); dp[a][b][c][n + 1] += dp[a][b][c][n] * (1.0 - (comb(a, 2) + comb(b, 2) + comb(c, 2)) / comb(a + b + c, 2)); } ld EA = 0, EB = 0, EC = 0; rep(a,A+1)rep(b,B+1)rep(c,C+1) { EA += (A - a) * dp[a][b][c][N]; EB += (B - b) * dp[a][b][c][N]; EC += (C - c) * dp[a][b][c][N]; } cout << fixed << setprecision(20) << EA << " " << EB << " " << EC << endl; }