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Zeinab_Hamdy

DP

Sep 26th, 2023
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C++ 2.61 KB | None | 0 0
  1. #include<bits/stdc++.h>
  2. using namespace std;
  3. #define nl "\n"
  4. #define fi first
  5. #define se second
  6. #define pb push_back
  7. #define ll long long
  8. #define ull unsigned ll
  9. #define RV  return void
  10. #define inf 2000000000
  11. #define sz(x) int(x.size())
  12. #define all(v) v.begin(), v.end()
  13. #define rall(v) v.rbegin(), v.rend()
  14. #define Mini(x) *min_element(all(x))
  15. #define Maxi(x) *max_element(all(x))
  16. #define fixed(n) fixed << setprecision(n)
  17. #define ceil(w, m) (((w) / (m)) + ((w) % (m) ? 1 : 0))
  18. #define cin(v) for (auto&i:v) cin >> i;
  19. #define cout(v) for (auto&i:v) cout << i << " ";
  20. #define clr(memo, x) memset(memo, x, sizeof memo)
  21. #define updmin(a, b) a = min(a, b)
  22. #define updmax(a, b) a = max(a, b)
  23. #define vi vector < int >
  24. #define vl vector < ll >
  25. #define vc vector < char >
  26. #define vs vector < string >
  27. #define v2i vector < vector < int > >
  28. #define v2l vector < vector < int > >
  29. #define seti set < int >
  30. #define setl set < ll >
  31. #define mapii map < int , int >
  32. #define mapll map < ll , ll >
  33. #define mapli map < ll , int >
  34. #define mapci map < char , int >
  35. #define mapsi map < string , int >
  36. #define pll pair < ll , ll >
  37. #define pii pair < int , int >
  38. #define range(l,r,x) for(int i=l ; i < r ; i+=x)
  39. #define FastCode ios_base::sync_with_stdio(false); cin.tie(nullptr); cout.tie(nullptr);
  40. vector < string > ternary= {"NO\n" , "YES\n"};
  41.  
  42. void  Zainab(){
  43.             #ifndef ONLINE_JUDGE
  44.               freopen("input.txt", "r", stdin);
  45.               freopen("output.txt", "w", stdout);
  46.             #endif
  47. }
  48.  
  49.  
  50. /*================================  solution  ================================ */
  51.  
  52. vector < ll > vec;
  53.  
  54. map < pair < ll , ll > , ll  > dp;
  55.  
  56.  
  57.  
  58. ll ans =0 , n ;
  59.  
  60. ll rec(int idx , int cnt ){
  61.     if(idx >= n ) return INT_MAX;
  62.    
  63.     if(idx == n-1 ){  
  64.         if(cnt >= 2   )
  65.             return vec[idx]-vec[idx-cnt] ;
  66.         return INT_MAX ;
  67.     }
  68.  
  69.     if(dp.find({idx , cnt}) != dp.end())
  70.         return dp[{idx , cnt}] ;
  71.  
  72.  
  73.  
  74.      ll ret =dp[{idx , cnt}] = INT_MAX;
  75.     ret = min(ret , rec(idx+1 , cnt+1));
  76.    
  77.     if(cnt >= 2){
  78.         ret = min(ret , vec[idx] - vec[idx-cnt] + rec(idx+1 , 0));
  79.     }
  80.    
  81.    
  82.     return dp[{idx , cnt}] = ret ;
  83. }
  84.  
  85.  
  86.  
  87. void myCode(){
  88.  
  89.  
  90. cin >> n ;
  91. vector < ll > v(n) ;
  92. cin(v);
  93.  
  94. dp.clear();
  95.  
  96.  
  97.  
  98. vec = v;
  99. sort(all(vec));
  100.  
  101.  
  102.  
  103. cout << rec(0 , 0 ) << nl;
  104.  
  105. }
  106.  
  107.  
  108. int main(){
  109.                                    FastCode ;
  110.                                      // Zainab() ;
  111.  
  112.         int testCase=1;
  113.             // cin >> testCase ;
  114.         for(int i=1 ; i<= testCase ; i++){
  115.             myCode();
  116.         }
  117.      
  118.  
  119.     return 0;
  120. }
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