#include using namespace std; #define rep(i, n) for (int i = 0; i < n; i++) #define rep2(i, x, n) for (int i = x; i <= n; i++) #define rep3(i, x, n) for (int i = x; i >= n; i--) #define each(e, v) for (auto &e : v) #define pb push_back #define eb emplace_back #define all(x) x.begin(), x.end() #define rall(x) x.rbegin(), x.rend() #define sz(x) (int)x.size() using ll = long long; using pii = pair; using pil = pair; using pli = pair; using pll = pair; const int MOD = 1000000007; // const int MOD = 998244353; const int inf = (1 << 30) - 1; const ll INF = (1LL << 60) - 1; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } struct io_setup { io_setup() { ios_base::sync_with_stdio(false); cin.tie(NULL); cout << fixed << setprecision(15); } } io_setup; int main() { int A, B, C, N; cin >> A >> B >> C >> N; double dp1[N + 1][A + 1][B + 1][C + 1], dp2[N + 1][A + 1][B + 1][C + 1], dp3[N + 1][A + 1][B + 1][C + 1]; rep(i, N + 1) { rep(j, A + 1) rep(k, B + 1) rep(l, C + 1) { if (i == 0 || j * k * l == 0) { dp1[i][j][k][l] = 0; dp2[i][j][k][l] = 0; dp3[i][j][k][l] = 0; continue; } double S = (j + k + l) * (j + k + l - 1) / 2; double a = j * (j - 1) / 2, b = k * (k - 1) / 2, c = l * (l - 1) / 2; double x = S - a - b - c; dp1[i][j][k][l] = (x * dp1[i - 1][j][k][l] + a * (dp1[i - 1][j - 1][k][l] + 1) + b * dp1[i - 1][j][k - 1][l] + c * dp1[i - 1][j][k][l - 1]) / S; dp2[i][j][k][l] = (x * dp2[i - 1][j][k][l] + a * dp2[i - 1][j - 1][k][l] + b * (dp2[i - 1][j][k - 1][l] + 1) + c * dp2[i - 1][j][k][l - 1]) / S; dp3[i][j][k][l] = (x * dp3[i - 1][j][k][l] + a * dp3[i - 1][j - 1][k][l] + b * dp3[i - 1][j][k - 1][l] + c * (dp3[i - 1][j][k][l - 1] + 1)) / S; } } cout << dp1[N][A][B][C] << ' ' << dp2[N][A][B][C] << ' ' << dp3[N][A][B][C] << '\n'; }