#include #pragma GCC optimize("Ofast") #define _GLIBCXX_DEBUG using namespace std; using std::cout; using std::cin; using std::endl; using ll=long long; using ld=long double; ll ILL=1167167167167167167; const int INF=2100000000; ll mod=1e9+7; #define rep(i,a) for (int i=0;i using _pq = priority_queue, greater>; template ll LB(vector &v,T a){return lower_bound(v.begin(),v.end(),a)-v.begin();} template ll UB(vector &v,T a){return upper_bound(v.begin(),v.end(),a)-v.begin();} template bool chmin(T &a,const T &b){if(a>b){a=b;return 1;}else return 0;} template bool chmax(T &a,const T &b){if(a void So(vector &v) {sort(v.begin(),v.end());} template void Sore(vector &v) {sort(v.begin(),v.end(),[](T x,T y){return x>y;});} void yneos(bool a){if(a) cout<<"Yes\n"; else cout<<"No\n";} ld f(int sum,int a){ return (ld)(a*(a-1))/(ld)(sum*(sum-1)); } // rainy ~ 雨に打たれて ~ int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int A,B,C,N; cin>>A>>B>>C>>N; vector>> em(A+1,vector>(B+1,vector(C+1))); rep(i,A+1) rep(j,B+1) rep(k,C+1) em[i][j][k]=0.0; auto dp=em; dp[0][0][0]=1; rep(roop,N){ auto n_dp=em; rep(i,A) rep(j,B) rep(k,C){ int sum=A+B+C-i-j-k; ld tmp=0; n_dp[i+1][j][k]+=dp[i][j][k]*f(sum,A-i); n_dp[i][j+1][k]+=dp[i][j][k]*f(sum,B-j); n_dp[i][j][k+1]+=dp[i][j][k]*f(sum,C-k); tmp=f(sum,A-i)+f(sum,B-j)+f(sum,C-k); tmp=1-tmp; n_dp[i][j][k]+=dp[i][j][k]*tmp; } dp=n_dp; } ld a=0,b=0,c=0; rep(i,A) rep(j,B) rep(k,C){ a+=(ld)i*dp[i][j][k]; b+=(ld)j*dp[i][j][k]; c+=(ld)k*dp[i][j][k]; } cout<