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>
using namespace std;
#define int long long
#define pb push_back
const int mxN = (int)2e3+10;
const int LINF = (int)2e18;
int n, a[mxN], dp[mxN][mxN/2];
int32_t main() {
ios_base::sync_with_stdio(false); cin.tie(0);
cin >> n;
for(int i = 1; i <= n; i++) cin >> a[i];
for(int i = 0; i <= n; i++)
for(int j = 0; j <= (n+1)/2; j++)
dp[i][j] = -LINF;
dp[0][0]=0;
for(int i = 1; i <= n; i++){
for(int j = 0; j <= min(i,(n+1)/2); j++){
dp[i][j] = dp[i-1][j];
if(j==1) dp[i][j] = max(dp[i][j], a[i]);
else if(i>1) dp[i][j] = max(dp[i][j], dp[i-2][j-1]+a[i]);
}
}
for(int i = 1; i <= (n+1)/2; i++) cout << dp[n][i] << "\n";
}
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