#include <bits/stdc++.h>
//#include <ext/pb_ds/detail/standard_policies.hpp>
//#include <ext/pb_ds/assoc_container.hpp>
//#include <ext/pb_ds/tree_policy.hpp>
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4")
#define ll long long
#define ld long double
#define pb push_back
#define F first
#define S second
#define endl '\n'
//#define int long long
using namespace std;
//using namespace __gnu_pbds;
//template <typename T> using ordered_set = tree <T, null_type, less < T >, rb_tree_tag, tree_order_statistics_node_update>;
const int N = 1e6 + 100;
const int M = 21890;
const ll mod = 1e9 + 7;
const ll MOD = 998244353;
const int P = 1336;
const ld eps = 0.000000001;
const int inf = 1e9 + 7;
const ll inff = 1e18 + 7;
mt19937 gen(chrono::high_resolution_clock::now().time_since_epoch().count());
int l1[N], r1[N], l2[N], r2[N];
int m;
pair <int, pair <ll, ll> > get(ll r, ll x, ll y, int fl)
{
ll gx = x / r, gy = y / r;
if (x % r) gx++;
if (y % r) gy++;
bool f;
if (fl == 0)
{
if (gx % 2)
{
if (gy % 2) f = 0;
else f = 1;
}
else if (gy % 2) f = 1;
else f = 0;
}
else
{
if (gx % 2)
{
if (gy % 2) f = 1;
else f = 0;
}
else if (gy % 2) f = 0;
else f = 1;
}
ll bx = 1ll * gx * r - x + 1;
ll by = 1ll * gy * r - y + 1;
return {f, {bx, by}};
}
ll solve(ll r, ll x1, ll y1, ll x2, ll y2, int fl)
{
ll gx1 = x1 / r + 1, gx2 = x2 / r;
if (x1 % r != 1) gx1++;
if (x1 % r == 0) gx1--;
ll gy1 = y1 / r + 1, gy2 = y2 / r;
if (y1 % r != 1) gy1++;
if (y1 % r == 0) gy1--;
if (r == 1)
{
gx1 = x1; gx2 = x2; gy1 = y1; gy2 = y2;
}
if (gx1 > gx2 || gy1 > gy2)
{
// cout << "! " << gx1 << " " << gx2 << " " << gy1 << " " << gy2 << endl;
if (gx1 > gx2 && gy1 > gy2)
{
pair < int, pair <ll, ll> > p = get(r, x1, y1, fl);
// cout << x1 << " " << y1 << " " << p.S.F << " " << p.S.S << endl;
if (x1 + p.S.F > x2 && y1 + p.S.S > y2)
{
// cout << x1 << " " << y1 << " " << p.F << endl;
if (p.F == 0) return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1);
else return 0;
}
if (x1 + p.S.F > x2)
{
ll S = 1ll * (x2 - x1 + 1) * p.S.S;
if (p.F == 0) return S;
else return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - S;
}
if (y1 + p.S.S > y2)
{
ll S = 1ll * (y2 - y1 + 1) * p.S.F;
if (p.F == 0) return S;
else return 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - S;
}
ll v1 = 1ll * p.S.F * p.S.S + 1ll * (x2 - x1 + 1 - p.S.F) * (y2 - y1 + 1 - p.S.S);
ll v2 = 1ll * (x2 - x1 + 1) * (y2 - y1 + 1) - v1;
// cout << "!!! " << v1 << " " << v2 << endl;
if (p.F == 0) return v1;
else return v2;
}
return 0;
}
ll stx = 1ll * gx1 * r - r + 1;
ll ex = 1ll * gx2 * r;
ll sty = 1ll * gy1 * r - r + 1;
ll ey = 1ll * gy2 * r;
ll kolx = (gx2 - gx1 + 1 + 1) / 2;
ll koly = (gy2 - gy1 + 1 + 1) / 2;
ll S = 1ll * kolx * koly * r * r;
kolx = (gx2 - gx1 + 1) / 2;
koly = (gy2 - gy1 + 1) / 2;
S += 1ll * kolx * koly * r * r;
pair < int, pair <ll, ll> > p = get(r, stx, sty, fl);
// cout << p.F << " " << S << endl;
if (p.F == 0) return S;
else return 1ll * (ex - stx + 1) * (ey - sty + 1) - S;
}
ll get_ans(ll r, int n)
{
ll S = 1ll * n * n;
// cout << S << endl;
n /= r;
ll kx = 1ll * (n + 1) / 2;
// cerr << kx << " " << kx * kx << endl;
ll k1 = kx * kx;
kx = 1ll * n / 2;
k1 += kx * kx;
k1 *= r * r;
ll k2 = S - k1;
ll v1 = 0, v2 = 0;
for(int i = 0; i < m; i++)
{
ll pl = 1ll * (l2[i] - l1[i] + 1) * (r2[i] - r1[i] + 1);
ll c1 = solve(r, l1[i], r1[i], l2[i], r2[i], 1);
ll c2 = solve(r, l1[i], r1[i], l2[i], r2[i], 0);
// cout << r << " " << solve(r, l1[i], r1[i], l2[i], r2[i], 1) << endl;
v1 += c1;
k1 -= (pl - c1);
v2 += c2;
k2 -= (pl - c2);
}
// cout << v1 << " " << v2 <<
// cout << r << " " << v1 << " " << k1 << " " << v2 << " " << k2 << endl;
return min(v1 + k1, v2 + k2);
}
int32_t main()
{
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
srand(time(0));
//freopen("input.txt", "r", stdin);
//freopen("output.txt", "w", stdout);
int n;
cin >> n >> m;
for(int i = 0; i < m; i++)
{
cin >> l1[i] >> r1[i] >> l2[i] >> r2[i];
// cout << solve(2, l1[i], r1[i], l2[i], r2[i], 1) << endl;
}
// cout << get_ans(2, n);
//
// return 0;
ll d = 1;
ll ans = inff;
while (d * d <= n)
{
if (n % d == 0)
{
ans = min(ans, get_ans(d, n));
if (d != 1) ans = min(ans, get_ans(n / d, n));
}
d++;
}
cout << ans;
}
