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  1. #include <bits/stdc++.h> 
  2.  
  3. using namespace std;  
  4.  
  5. typedef long long ll;  
  6. typedef pair<int, int> ii;  
  7.  
  8. const int INF = 1e9;  
  9. const ll LINF = 1e18;  
  10.  
  11. const int N = 4e2 + 5; 
  12.  
  13. template<typename T>
  14. void minimize(T& a, const T& b) {
  15. 	if (b < a) a = b; 
  16. }
  17.  
  18. int n; 
  19. int a[N]; 
  20. ll pref[N]; 
  21.  
  22. ll getSum(int l, int r) {
  23. 	return pref[r] - pref[l - 1]; 
  24. }
  25.  
  26. // dp(l, r) = Chi phí ít nhất để gộp các phần tử trong đoạn [l, r] về thành 1 phần tử duy nhất
  27. ll memo	[N][N]; 
  28.  
  29. ll dp(int l, int r) {
  30. 	if (l == r) return 0; 
  31. 	if (l + 1 == r) return a[l] + a[r]; 
  32.  
  33. 	ll& ans = memo[l][r]; 
  34. 	if (ans != -1) return ans;   
  35.  
  36. 	ans = LINF;  
  37. 	for (int k = l; k < r; k++) {
  38. 		minimize(ans, dp(l, k) + dp(k + 1, r) + getSum(l, r)); 		
  39. 	}
  40.  
  41. 	return ans; 
  42. }
  43.  
  44. int main() {
  45. 	ios::sync_with_stdio(false); 
  46. 	cin.tie(nullptr); 	
  47. 	cin >> n;
  48. 	for (int i = 1; i <= n; i++) {
  49. 		cin >> a[i]; 
  50. 		pref[i] = pref[i - 1] + a[i]; 
  51. 	}
  52.  
  53. 	memset(memo, -1, sizeof memo); 
  54.  
  55. 	cout << dp(1, n) << '\n'; 
  56. }
Success #stdin #stdout 0.01s 5284KB
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https://ideone.com/ZzfKS4
language:
C++14 (gcc 8.3)
created:
1 year ago
visibility:
secret

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