#include using namespace std; using ll = long long; #define rep(i, srt, end) for (long long i = (srt); i < (long long)(end); i++) // Ref: https://qiita.com/ysuzuki19/items/d89057d65284ba1a16ac #define dump(var) do{std::cerr << #var << " : ";view(var);}while(0) template void view(T e){std::cerr << e << "\n";} template void view(const std::vector& v){for(const auto& e : v){ std::cerr << e << " "; } std::cerr << "\n";} template void view(const std::vector >& vv){ std::cerr << "\n"; for(const auto& v : vv){ view(v); } } template void dump_cout(const T& v) { for(long long i = 0; i < v.size(); i++) std::cout << v[i] << (i == v.size()-1 ? "\n" : " "); } #define N 55 double dp[N][N][N][N]; void solve() { ll a, b, c, n; cin >> a >> b >> c >> n; dp[0][a][b][c] = 1.0; rep(i, 0, n) { rep(x, 0, a+1) { rep(y, 0, b+1) { rep(z, 0, c+1) { ll sum = x + y + z; if(sum <= 1) continue; if(x >= 2) dp[i+1][x-1][y][z] += dp[i][x][y][z] * (x * (x - 1) / 2) / (sum * (sum-1) / 2); if(y >= 2) dp[i+1][x][y-1][z] += dp[i][x][y][z] * (y * (y - 1) / 2) / (sum * (sum-1) / 2); if(z >= 2) dp[i+1][x][y][z-1] += dp[i][x][y][z] * (z * (z - 1) / 2) / (sum * (sum-1) / 2); if(x >= 1 && y >= 1) dp[i+1][x][y][z] += dp[i][x][y][z] * (x * y) / (sum * (sum-1) / 2); if(y >= 1 && z >= 1) dp[i+1][x][y][z] += dp[i][x][y][z] * (y * z) / (sum * (sum-1) / 2); if(z >= 1 && x >= 1) dp[i+1][x][y][z] += dp[i][x][y][z] * (z * x) / (sum * (sum-1) / 2); } } } } double A = 0, B = 0, C = 0; rep(x, 0, a+1) rep(y, 0, b+1) rep(z, 0, c+1) { A += dp[n][x][y][z] * (a - x); B += dp[n][x][y][z] * (b - y); C += dp[n][x][y][z] * (c - z); } printf("%.20lf %.20lf %.20lf\n", A, B, C); } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); solve(); return 0; }