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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3. #define MAX 100005
  4. #define bitscount 32
  5. typedef long long ll;
  6.  
  7. // swap -> delete one element and/or insert another element 
  8. // -> we can delete one element    or  insert one element  or both  or do nothing
  9.  
  10. void solve() {
  11.     ll n;
  12.     cin >> n;
  13.     vector<ll> a(n + 1);
  14.     for (ll i = 1; i <= n; i++) cin >> a[i];
  15.     ll mx_del = 0, max_pref = 0;
  16.     // max subarray sum ending at i if we do nothing
  17.     vector<ll> dp_5aliyh(n + 1); 
  18.  
  19.     // max subarray sum ending at i if we  delete one elment
  20.     vector<ll> dp_na7iyh(n + 1); 
  21.  
  22.     // max subarray sum ending at i if we  add one elment
  23.     vector<ll> dp_ziydo(n + 1);
  24.  
  25.     // max subarray sum ending at i if we  delete one elment and add one element
  26.     vector<ll> dp_lzouz(n + 1); 
  27.  
  28.  
  29.  
  30.     vector<ll> ans(n + 1);
  31.     for (int i = 1; i <= n; i++) {
  32.         ans[i] = ans[i - 1];
  33.         dp_5aliyh[i] = max(dp_5aliyh[i - 1], 0LL) + a[i];
  34.         dp_na7iyh[i] = max(dp_na7iyh[i - 1] + a[i], dp_5aliyh[i] - a[i]);
  35.         dp_ziydo[i] = max(dp_ziydo[i - 1] + a[i], a[i] + max_pref);
  36.         dp_lzouz[i] = max({dp_lzouz[i - 1] + a[i], dp_ziydo[i - 1], dp_na7iyh[i - 1] + a[i]});
  37.  
  38.         //a[i]+mx_del : if the ith one will be added so take the max subarray that has one element deleted
  39.         ans[i] = max({ans[i], dp_5aliyh[i],dp_ziydo[i],dp_na7iyh[i], dp_lzouz[i], a[i] + mx_del});
  40.         max_pref = max(max_pref, a[i]);
  41.         mx_del = max(mx_del, dp_na7iyh[i]);
  42.     }
  43.     for (int i = 1; i <= n; i++) {
  44.         cout << ans[i] << " ";
  45.     }
  46.     cout << "\n";
  47. }
  48.  
  49. int main() {
  50.     ios::sync_with_stdio(false);
  51.     cin.tie(nullptr);
  52.     int t=1;
  53.     //cin >> t;
  54.     while (t--) solve();
  55.     return 0;
  56. }
  57.  
Success #stdin #stdout 0.01s 5316KB
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language:

						
C++ (gcc 8.3)

					

					

						
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