#pragma GCC ta g("avx2") #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") #include using namespace std; #define DEBUG #ifdef DEBUG template ostream &operator<<(ostream &os, const pair &p) { os << '(' << p.first << ',' << p.second << ')'; return os; } template ostream &operator<<(ostream &os, const vector &v) { os << '{'; for(int i = 0; i < (int)v.size(); i++) { if(i) { os << ','; } os << v[i]; } os << '}'; return os; } void debugg() { cerr << endl; } template void debugg(const T &x, const Args &... args) { cerr << " " << x; debugg(args...); } #define debug(...) \ cerr << __LINE__ << " [" << #__VA_ARGS__ << "]: ", debugg(__VA_ARGS__) #define dump(x) cerr << __LINE__ << " " << #x << " = " << (x) << endl #else #define debug(...) (void(0)) #define dump(x) (void(0)) #endif using namespace std; typedef long long ll; typedef vector vl; typedef vector vvl; typedef vector vc; typedef vector vs; typedef vector vb; typedef vector vd; typedef pair P; typedef pair pii; typedef vector

vpl; typedef tuple tapu; #define rep(i,n) for(int i=0; i<(n); i++) #define REP(i,a,b) for(int i=(a); i<(b); i++) #define all(x) (x).begin(), (x).end() #define rall(x) (x).rbegin(), (x).rend() const int inf = (1<<30)-1; const ll linf = 1LL<<61; const int MAX = 510000; int dy[8] = {0,1,0,-1,1,-1,-1,1}; int dx[8] = {-1,0,1,0,1,-1,1,-1}; const double pi = acos(-1); const double eps = 1e-7; template inline bool chmin(T1 &a,T2 b){ if(a>b){ a = b; return true; } else return false; } template inline bool chmax(T1 &a,T2 b){ if(a inline void print(T &a){ int sz = a.size(); for(auto itr = a.begin(); itr != a.end(); itr++){ cout << *itr; sz--; if(sz) cout << " "; } cout << "\n"; } template inline void print2(T1 a, T2 b){ cout << a << " " << b << "\n"; } template inline void print3(T1 a, T2 b, T3 c){ cout << a << " " << b << " " << c << "\n"; } void mark() {cout << "#" << "\n";} ll pcount(ll x) {return __builtin_popcountll(x);} //#include //using namespace atcoder; //const int mod = 1e9 + 7; const int mod = 998244353; using tud = tuple; array dp[55][55][55][55]; bool v[55][55][55][55]; array f(int n, int a, int b, int c){ if(n == 0) return {0,0,0}; if(v[n][a][b][c]) return dp[n][a][b][c]; v[n][a][b][c] = true; if(a == 1 && b == 1 && c == 1) return dp[n][a][b][c] = {0,0,0}; array res = {0,0,0}; ll s = a+b+c; ll al = s * (s-1) / 2; if(a >= 2){ auto r = f(n-1,a-1,b,c); r[0] += 1; rep(i,3) res[i] += r[i] * a * (a-1) / 2 / al; } if(b >= 2){ auto r = f(n-1,a,b-1,c); r[1] += 1; rep(i,3) res[i] += r[i] * b * (b-1) / 2 / al; } if(c >= 2){ auto r = f(n-1,a,b,c-1); r[2] += 1; rep(i,3) res[i] += r[i] * c * (c-1) / 2 / al; } auto r = f(n-1,a,b,c); rep(i,3) res[i] += r[i] * (al - a*(a-1)/2 - b*(b-1)/2 - c*(c-1)/2) / al; return dp[n][a][b][c] = res; } int main(){ int a,b,c,n; cin >> a >> b >> c >> n; auto res = f(n,a,b,c); printf("%.10f %.10f %.10f\n",res[0],res[1],res[2]); }