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Saleh127

SPOJ DINNER_DINGRP/ DP

Jul 19th, 2022
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  1. /***
  2.  created: 2022-07-19-22.23.24
  3. ***/
  4.  
  5. #include <bits/stdc++.h>
  6. #include <ext/pb_ds/assoc_container.hpp>
  7. #include <ext/pb_ds/tree_policy.hpp>
  8. using namespace std;
  9. using namespace __gnu_pbds;
  10. template<typename U> using ordered_set=tree<U, null_type,less<U>,rb_tree_tag,tree_order_statistics_node_update>;
  11. #define ll long long
  12. #define test int tt; cin>>tt; for(int cs=1;cs<=tt;cs++)
  13. #define get_lost_idiot return 0
  14. #define nl '\n'
  15.  
  16. ll dp[105][105][105],n,m;
  17.  
  18. string a;
  19.  
  20. ll solve(ll i,ll j,ll cnt)
  21. {
  22.     if(i>j || i>n || j<0) return 0;
  23.  
  24.     if(dp[i][j][cnt]!=-1) return dp[i][j][cnt];
  25.  
  26.     ll ans=INT_MAX;
  27.  
  28.     if(cnt>=m) ans = 1 + solve(i+1,j,1);
  29.  
  30.     for(ll k=i+1;k<=j;k++)
  31.     {
  32.         if(a[i]==a[k])
  33.         {
  34.             ans=min(ans,solve(i+1,k-1,1)+solve(k,j,cnt+1));
  35.             //ans=min(ans,solve(i+1,j-1,1)+solve(k,j,cnt+1));
  36.             //ans=min(ans,solve(i+1,j-1,1)+solve(k+1,j,cnt+1));
  37.         }
  38.     }
  39.  
  40.     return dp[i][j][cnt]=ans;
  41. }
  42.  
  43.  
  44. int main()
  45. {
  46.     ios_base::sync_with_stdio(0);
  47.     cin.tie(0);
  48.     cout.tie(0);
  49.  
  50.  
  51.     ll i,j,k,l;
  52.  
  53.     cin>>n>>m;
  54.  
  55.     cin>>a;
  56.  
  57.     memset(dp,-1,sizeof dp);
  58.  
  59.     l=solve(0,n-1,1);
  60.  
  61.     // cout<<l<<nl;
  62.  
  63.     if(l>n) cout<<-1<<nl;
  64.     else cout<<l<<nl;
  65.  
  66.     get_lost_idiot;
  67. }
  68.  
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