#include<bits/stdc++.h>
using namespace std;
//#pragma gcc optimize("Ofast,unroll-loops")
//#pragma gcc target("sse,sse2,sse3,ssse3,sse4,avx,avx2,fma,abm,mmx,popcnt,tune=native")
//#define int long long
//#define double long double
#define MP make_pair
#define F first
#define S second
#define MOD 1000000007
signed main()
{
ios_base::sync_with_stdio(false);
cin.tie(0);
int N, K;
cin >> N >> K;
vector<pair<int, int>> B(K);
for (auto &p : B)
cin >> p.F >> p.S >> p.F >> p.S, p.F--, p.S--;
vector<int> fac = {1};
for (int i = 2; i * i <= N; i++)
if (N % i == 0)
{
if (i * i != N)
fac.push_back(i);
fac.push_back(N / i);
}
long long ans = 9e18;
for (int x : fac)
{
long long wc = (long long)(N / x) * (N / x) / 2 * x * x, bc = (long long)N * N - wc;
for (auto p : B)
if ((p.F / x + p.S / x) % 2)
wc--, bc++;
else
wc++, bc--;
ans = min({ans, wc, bc});
}
cout << ans << '\n';
return 0;
}
// * * ***** * * * * **** **** **** ** **
// * * * ** * * * * * * * * * * *
// ***** ***** * * * * * * **** * * * *
// * * * * ** * * * * * * ***** *
// * * ***** * * *** **** * * **** * *****
// ***** ***** * * * ***** * * ***** *****
// * * * * * * * ** * * * *
// * * * ***** * * * * * * *****
// * * * * * * * * ** * *
// **** ***** * ***** ***** * * * *
