#include using namespace std; using int64 = long long; // const int mod = 1e9 + 7; const int mod = 998244353; const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in: v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e: t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } int main() { int A, B, C, N; cin >> A >> B >> C >> N; auto dp = make_v< double >(51, 51, 51, 51); auto v = make_v< double >(51, 51, 51, 51); auto rec = MFP([&](auto rec, int n, int a, int b, int c) -> double { if(a == 0 or b == 0 or c == 0) return 0; if(n == N) return 0; if(v[n][a][b][c]) return dp[n][a][b][c]; v[n][a][b][c] = 1; double ret = 0; double ss = (a + b + c) * (a + b + c - 1) * 0.5; double aa = a * (a - 1) * 0.5 / ss; double bb = b * (b - 1) * 0.5 / ss; double cc = c * (c - 1) * 0.5 / ss; double oo = 1.0 - aa - bb - cc; return dp[n][a][b][c] = (rec(n + 1, a - 1, b, c) + 1.0) * aa + rec(n + 1, a, b - 1, c) * bb + rec(n + 1, a, b, c - 1) * cc + rec(n + 1, a, b, c) * oo; }); cout << rec(0, A, B, C) << " " << rec(0, B, A, C) << " " << rec(0, C, A, B) << "\n"; }