#include #include using namespace std; using namespace atcoder; typedef int64_t lint; #define rep(i, n) for(int i=0; i; using vvi = vector>; template inline void vin(vector& v) { rep(i, v.size()) cin >> v.at(i); } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template inline void drop(T x) { cout << x << endl; exit(0); } template void vout(vector v) { rep(i, v.size()) { cout << v.at(i) << ' '; } cout << endl; } constexpr lint LINF = LLONG_MAX/2; int main() { lint A, B, C, N; cin >> A >> B >> C >> N; std::vector>> dp(51, std::vector>(51, std::vector(51))); double a=0, b=0, c=0, x, y, z; dp[A][B][C] = 1.0; rep(_, N) { repx(i, 1, 51) { repx(j, 1, 51) { repx(k, 1, 51) { dp[i-1][j][k] += dp[i][j][k] * (i-1) * i / (i+j+k) / (i+j+k-1); dp[i][j-1][k] += dp[i][j][k] * (j-1) * j / (i+j+k) / (i+j+k-1); dp[i][j][k-1] += dp[i][j][k] * (k-1) * k / (i+j+k) / (i+j+k-1); dp[i][j][k] -= dp[i][j][k] * (i-1) * i / (i+j+k) / (i+j+k-1) + dp[i][j][k] * (j-1) * j / (i+j+k) / (i+j+k-1) + dp[i][j][k] * (k-1) * k / (i+j+k) / (i+j+k-1); } } } } repx(i, 1, 51) { repx(j, 1, 51) { repx(k, 1, 51) { a += dp[i][j][k] * (A-i); b += dp[i][j][k] * (B-j); c += dp[i][j][k] * (C-k); } } } cout << fixed << setprecision(10) << a << ' '; cout << fixed << setprecision(10) << b << ' '; cout << fixed << setprecision(10) << c << endl; }