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 <iostream>
#include <iomanip>
#include <fstream>
#include <algorithm>
#include <cstring>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <cmath>
#include <list>
#include <set>
#include <map>
using namespace std;
typedef  long long ll;
const ll N = 2000004;
ll n, m, l, k, t, x,ans=N*N, y,dp[N];
pair<ll, ll> a[N];
int check(int n, int m, int x, int y)
{
	x /= m;
	y /= m;
	if (x + y % 2 == 0)
	{
		return 1;
	}
	else
		return 0;
}
int main() 
{
	for (int i = 2; i <= 100005; ++i)
			dp[i] = i * i / 2;
		for (int i = 3; i <= 100005; ++i)
		{
			for (int j = 1; j*j <= 100005; ++j)
			{
				if(i%j==0)
				dp[i] = min(ll(dp[i/j] * (j*j)), dp[i]);
			}
		}
		cin >> n >> m;
		for (int i = 0; i < m; ++i)
		{
			cin >> a[i].first >> a[i].second;
			cin >> x >> x;
		}
		x = 0; 
		
		ans = dp[n];
		if (m != 0)
			for (int i = 1; i*i <= n; ++i)
			{
				if (n%i == 0)
				{
					for (int j = 0; j < m; ++j)
					{
						x += check(n, i, a[j].first - 1, a[j].second - 1);
					}
					ans = min(x, dp[n/i] - x);
				}
				x = 0;
			}
		cout << ans << endl;
	return 0;
}
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