This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include<bits/stdc++.h>
#define fi first
#define se second
#define ll long long
using namespace std ;
const ll N = 1e5, NS = 2e3 ;
ll n, a[N + 1], ans[NS + 1], dp[NS + 1][NS + 1][2] ;
signed main()
{
ios_base::sync_with_stdio( 0 ) ;
cin.tie( 0 ) ;
cout.tie( 0 ) ;
cin >> n ;
for(ll i = 1 ; i <= n ; i++)
cin >> a[i] ;
if(n <= 2000)
{
for(ll i = 1 ; i <= n ; i++)
for(ll j = 1 ; j <= (i + 1) / 2 ; j++)
{
dp[i][j][0] = max(dp[i - 1][j][0], dp[i - 1][j][1]) ;
dp[i][j][1] = dp[i - 1][j - 1][0] + a[i] ;
ans[j] = max({ans[j], dp[i][j][0], dp[i][j][1]}) ;
}
// for(ll i = 1 ; i <= n ; i++)
// for(ll j = 1 ; j <= i ; j++)
// cout<<i<<' '<<j<<' '<<dp[i][j][0] << ' ' << dp[i][j][1] << '\n' ;
for(int i = 1 ; i <= (n + 1) / 2 ; i++)
cout << ans[i] << '\n' ;
return 0 ;
}
return 0 ;
}
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