#define _USE_MATH_DEFINES #include using namespace std; #define FOR(i,m,n) for(int i=(m);i<(n);++i) #define REP(i,n) FOR(i,0,n) #define ALL(v) (v).begin(),(v).end() using ll = long long; constexpr int INF = 0x3f3f3f3f; constexpr long long LINF = 0x3f3f3f3f3f3f3f3fLL; constexpr double EPS = 1e-8; constexpr int MOD = 1000000007; // constexpr int MOD = 998244353; constexpr int DY[]{1, 0, -1, 0}, DX[]{0, -1, 0, 1}; constexpr int DY8[]{1, 1, 0, -1, -1, -1, 0, 1}, DX8[]{0, -1, -1, -1, 0, 1, 1, 1}; template inline bool chmax(T &a, U b) { return a < b ? (a = b, true) : false; } template inline bool chmin(T &a, U b) { return a > b ? (a = b, true) : false; } struct IOSetup { IOSetup() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << fixed << setprecision(20); } } iosetup; double f(int tip, int all) { return 1. * tip / all * (tip - 1) / (all - 1); } double g(int a, int b, int c) { int all = a + b + c; if (all < 2) return 0; vector tip{a, b, c}; double ans = 0; REP(i, 3) FOR(j, i + 1, 3) { ans += 1. * tip[i] / all * tip[j] / (all - 1); ans += 1. * tip[j] / all * tip[i] / (all - 1); } return ans; } int main() { int a, b, c, n; cin >> a >> b >> c >> n; vector dp(a + 1, vector(b + 1, vector(c + 1, 0.))); dp[a][b][c] = 1; while (n--) { vector nx(a + 1, vector(b + 1, vector(c + 1, 0.))); REP(i, a + 1) REP(j, b + 1) REP(k, c + 1) { if (i >= 2) nx[i - 1][j][k] += dp[i][j][k] * f(i, i + j + k); if (j >= 2) nx[i][j - 1][k] += dp[i][j][k] * f(j, i + j + k); if (k >= 2) nx[i][j][k - 1] += dp[i][j][k] * f(k, i + j + k); nx[i][j][k] += dp[i][j][k] * g(i, j, k); } dp.swap(nx); } double white = 0, black = 0, brown = 0; REP(i, a + 1) REP(j, b + 1) REP(k, c + 1) { white += (a - i) * dp[i][j][k]; black += (b - j) * dp[i][j][k]; brown += (c - k) * dp[i][j][k]; } cout << white << ' ' << black << ' ' << brown << '\n'; return 0; }