This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/// adil sultanov | vonat1us
#pragma GCC optimize("O3")
//#pragma comment(linker, "/STACK:36777216")
#include<bits/stdc++.h>
#define x first
#define y second
#define pb push_back
#define sz(x) (int) x.size()
#define all(z) (z).begin(), (z).end()
using namespace std;
using ll = long long;
using pii = pair<int, int>;
const int MOD = 1e9 + 7;
const int INF = 1e9 + 1e2;
void fin() {
#ifdef AM
freopen(".in", "r", stdin);
#endif
}
const bool flag = 0;
const int N = 1e5+10;
void ma1n() {
ll n, k;
cin >> n >> k;
vector<int> v;
for (int i = 1; i <= sqrt(n); ++i) {
if (n%i == 0) {
v.pb(i);
if (i*i != n) {
v.pb(n/i);
}
}
}
sort(all(v));
v.pop_back();
vector<ll> res1(sz(v)), res2(sz(v));
for (int i = 0; i < sz(v); ++i) {
ll d = v[i];
ll cnt = n/d;
ll cnt1 = cnt/2;
ll cnt2 = (cnt+1)/2;
res1[i] = cnt1*cnt2*d*d*2;
res2[i] = n*n - res1[i];
}
while (k--) {
int a, b, c, d;
cin >> a >> b >> c >> d;
a--, b--, c--, d--;
for (int t = 0; t < sz(v); ++t) {
int dv = v[t];
int i = a/dv;
int j = b/dv;
if (i%2 != j%2) {
res1[t]--;
res2[t]++;
} else {
res1[t]++;
res2[t]--;
}
}
}
ll ans = n*n;
for (int i = 0; i < sz(v); ++i) {
ans = min({ans, res1[i], res2[i]});
}
cout << ans;
}
int main() {
ios_base::sync_with_stdio(0);
cin.tie(nullptr), fin();
int ts = 1;
if (flag) {
cin >> ts;
}
while (ts--) {
ma1n();
}
return 0;
}
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