This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC target("avx2")
#pragma GCC optimize("O3")
   
#include <x86intrin.h>
#include <bits/stdc++.h>   
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace __gnu_pbds;
using namespace std;
template<typename T> using ordered_set = tree <T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
     
#define F first
#define S second           
#define lb lower_bound               
#define ub upper_bound
#define pb push_back
#define pf push_front    
#define ppb pop_back
#define mp make_pair                                     
#define bpp __builtin_popcountll                                                                                        
#define sqr(x) ((x) * (x)) 
#define al 0x3F3F3F3F
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define in insert
#define ppf pop_front
#define endl '\n'
//#define int long long
 
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
typedef pair <int, int> pii;
 
const int mod = (int)1e9 + 7;
const int N = (int)3e5 + 123;
const ll inf = (ll)1e18 + 1;
const double pi = acos (-1.0);
const double eps = 1e-7;                  
const int dx[] = {0, 0, 1, 0, -1};
const int dy[] = {0, 1, 0, -1, 0};
int n, a[N];
ll dp[2][3333][2];
inline void boost () {                    
   ios_base :: sync_with_stdio (NULL);
   cin.tie (NULL), cout.tie (NULL);          
}                                                     
inline void Solve () {
   cin >> n;
   for (int i = 1; i <= n; i ++) cin >> a[i];
   for (int i = 0; i <= 1; i ++)
      for (int j = 1; j <= n; j ++)
         dp[i][j][0] = dp[i][j][1] = -inf;
   dp[0][0][0] = 0;
   for (int i = 1; i <= n; i ++) {
      bool ch = (i & 1);
      for (int j = 1; j <= i; j ++) {
         dp[ch][j][0] = max (dp[(ch ^ 1)][j][0], dp[(ch ^ 1)][j][1]); 
         dp[ch][j][1] = dp[(ch ^ 1)][j - 1][0] + a[i];
      }
   }
   for (int i = 1; i <= (n + 1) / 2; i ++)
      cout << max (dp[(n & 1)][i][1], dp[(n & 1)][i][0]) << endl;
}
main () {                                       
// freopen (".in", "r", stdin);    
// freopen (".out", "w", stdout);              
   boost ();
   int tt = 1;
   //cin >> tt;   
   while (tt --) {
      Solve ();
   }                                               
   return 0;      
}
                          
Compilation message (stderr)
candies.cpp:72:7: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
 main () {                                       
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