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Saleh127

SPOJ MIXTURES / MCM - DP

Jul 22nd, 2022
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  1. /***
  2.  created: 2022-07-22-21.52.17
  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 a[105];
  17.  
  18. ll dp[202][202];
  19.  
  20. ll summ(ll x, ll y)
  21. {
  22.     ll s=0;
  23.     for(ll i=x;i<=y;i++)
  24.     {
  25.         s+=a[i];
  26.         s%=100;
  27.     }
  28.     return s;
  29. }
  30.  
  31. ll solve(ll s,ll e)
  32. {
  33.     if(s>=e) return 0ll;
  34.  
  35.     if(dp[s][e]!=-1) return dp[s][e];
  36.  
  37.     ll ans = 1e17;
  38.  
  39.     for(ll i=s;i<e;i++)
  40.     {
  41.         ll xx= solve(s,i) + solve(i+1,e);
  42.         xx+= (summ(s,i)*summ(i+1,e));
  43.         ans=min(ans,xx);
  44.     }
  45.     return dp[s][e]=ans;
  46. }
  47.  
  48. int main()
  49. {
  50.     ios_base::sync_with_stdio(0);
  51.     cin.tie(0);
  52.     cout.tie(0);
  53.  
  54.     ll n;
  55.  
  56.     while(cin>>n && n)
  57.     {
  58.         for(ll i=0;i<n;i++) cin>>a[i];
  59.  
  60.         memset(dp,-1, sizeof dp);
  61.  
  62.         cout<<solve(0,n-1)<<nl;
  63.     }
  64.  
  65.     get_lost_idiot;
  66. }
  67.  
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