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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. typedef long long ll;
  4. #define int ll
  5.  
  6. int n ; 
  7. long double dp[101][101][101] ; 
  8. long double solve(int x , int y , int z){
  9.     if (x == n || y == n || z == n){
  10.         return 0.0 ; 
  11.     }
  12.     if( x + y == n){
  13.         return 3.0 * y ; 
  14.     }
  15.     if(dp[x][y][z] != 0) return dp[x][y][z] ; 
  16.     long double sum = 1.5 ; 
  17.     sum += 0.5 * solve(x+1 , y , z - 1) ;
  18.  
  19.     int w = x ; int l = y + 1 ; 
  20.     if (l > w) swap(l , w) ; 
  21.  
  22.     sum += 0.5 * solve(w , l , z-1) ; 
  23.  
  24.     return dp[x][y][z] =  sum ; 
  25. }
  26.  
  27. signed main()
  28. {
  29.     ios::sync_with_stdio(false);
  30.     cin.tie(nullptr);
  31.     cin >> n ; 
  32.     string s ; cin >> s ; 
  33.     vector<int> v(3) ; 
  34.     for(int i = 0 ; i < n ; i++){
  35.         if(s[i] == 'r') v[0]++; 
  36.         if(s[i] == 'g') v[1]++;
  37.         if(s[i] == 'b') v[2]++; 
  38.     }
  39.     sort(v.begin() , v.end()) ; 
  40.  
  41.     cout << fixed << setprecision(8) << solve(v[2] , v[1] , v[0]) << endl ;
  42.  
  43. }
Success #stdin #stdout 0s 5304KB
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Standard input is empty
stdout
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0.00000000
https://ideone.com/LEJi85
language:
C++ (gcc 8.3)
created:
4 hours ago
visibility:
public

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