Shared code

#include <bits/stdc++.h>
using namespace std;
 
#define FASTIO ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

const int MOD2 = 2*(1e9+7);
 
int main()
{
    FASTIO
    int n;
    cin >> n;
    int sum = (n*(n+1))/2;
	 vector<unsigned> dp(sum+1,0); // UINT_MAX > 2*MOD2
    dp[0] = 1;
    if(sum&1)
    {
		cout << 0 << endl;
		return EXIT_SUCCESS;
	 }
    sum /= 2;
    for(int i=1; i<=n; i++)
    {
        for(int j=sum; j>=0; j--)
        {
            if(i+j <= sum)
            {
                dp[i+j] += dp[j];
                dp[i+j] %= MOD2;
            }
        }
    }
    cout << dp[sum]/2 << endl;
	 return EXIT_SUCCESS;
}