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 <bits/stdc++.h>
#define ll long long
#define f first
#define s second
#define pb push_back
#define mp make_pair
using namespace std;
ll ans,n,k,x[200005],y[200005];
void solve(ll t){
if(t == n)return;
ll raod = 0;
for(int i=1; i<=k; i++)
if((x[i] / t + y[i] / t) % 2 == 0)raod++;
if((n / t) % 2 == 0){
raod = max(raod , k - raod);
ans = min(ans , ((n * n) / 2) - raod + k - raod);
}
else{
ll fir = (((n/t)*(n/t))/2 + 1) * (t * t) - raod + (k - raod);
ll sec = (((n/t)*(n/t))/2) * (t * t) - (k - raod) + raod;
ans = min(ans , min(fir , sec));
}
}
int main(){
ios::sync_with_stdio(false);
cin >> n >> k;
for(int i=1; i<=k; i++){
cin >> x[i] >> y[i] >> x[i] >> y[i];
x[i]--;
y[i]--;
}
ans = n * n;
for(int i=1; i<=sqrt(n); i++){
if((n % i) == 0){
solve(n / i);
solve(i);
}
}
cout << ans << endl;
return 0;
}
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