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>
using namespace std;
#define int long long
int32_t main(){
ios_base::sync_with_stdio(false);
cin.tie(0);
int n,q;cin>>n>>q;
vector<int> v;
vector<int> a[2];
for(int i=1;i<n;i++){
if(n%i==0){
v.push_back(i);
int p=n/i;
if(p&1){
a[0].push_back((p*p-1)*i*i/2);
a[1].push_back((p*p+1)*i*i/2);
}
else{
a[0].push_back(n*n/2);
a[1].push_back(n*n/2);
}
}
}
int sz=v.size();
for(int i=0;i<q;i++){
int c,d;
cin>>c>>d>>c>>d;
c--;d--;
for(int j=0;j<sz;j++){
int k=v[j];
int c1=c/k;
int d1=d/k;
c1%=2;
d1%=2;
c1^=d1;
if(c1){
a[0][j]--;
a[1][j]++;
}
else{
a[0][j]++;
a[1][j]--;
}
}
}
int ans=n*n;
for(int j=0;j<sz;j++){
ans=min(ans,a[0][j]);
ans=min(ans,a[1][j]);
}
cout<<ans<<endl;
return 0;
}
/*
6 8
3 3 3 3
1 2 1 2
3 4 3 4
5 5 5 5
4 3 4 3
4 4 4 4
2 1 2 1
3 6 3 6
*/
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