//Euzibillahiminesseqtanirracim Bismillahirrahmanirrahim
/*
ID:
TASK:
LANG: C++
*/
#include <bits/stdc++.h>
#define pb push_back
#define ll long long
#define ff first
#define ss second
#define mp make_pair
#define PII pair<int,int>
#define inf 1000000001
using namespace std;
int n, m, ans = inf , r;
double l;
PII d[100001];
vector<int>v;
void f(int e1,int q1,int e2,int q2){
for(auto e:v){
e *= 2;
if( (e1%e < e/2 && q1%e < e/2) || (e1%e >= e/2 && q1%e >= e/2) ){
d[e].ff--;
d[e].ss++;
}
else{
d[e].ff++;
d[e].ss--;
}
}
}
int e1, q1, e2, q2;
int main()
{
cin>>n>>m;
v.pb(1);
for(int i=2;i<=sqrt(n);i++) if(n%i == 0){
v.pb(i);
v.pb(n/i);
}
r = sqrt(n);
l = sqrt(n);
if(l == r) v.pop_back();
for(auto e:v){
d[e].ff = (( (n/e)*(n/e) )/ 2 + ( (n/e)*(n/e) )% 2 ) * e*e;
d[e].ss = n*n - d[e].ff;
}
while(m--){
cin>>e1>>q1>>e2>>q2;
f(e1 - 1,q1 - 1,e2 - 1,q2 - 1);
}
for(auto e:v){
ans = min(ans , min( d[e].ff , d[e].ss ));
}
cout<<ans;
}
/*
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_____o8BBBBBBBBBBB BBBBBBBBB8 o88o
___o8BBBBBB**8BBBB BBBBBBBBBB oBBBBBBBo
__oBBBBBBB* *** BBBBBBBBBB BBBBBBBBBBo
_8BBBBBBBBBBooooo *BBBBBBB8 *BB* 8BBBBBBo
_8BBBBBBBBBBBBBBBB8ooBBBBBBB8 8BBBBBBB8
__*BBBBBBBBBBBBBBBBBBBBBBBBBB8 o88BB88BBBBBBBBBBBB
____*BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB8
______**8BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB*
___________*BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB8*
____________*BBBBBBBBBBBBBBBBBBBBBBBB8888**
_____________BBBBBBBBBBBBBBBBBBBBBBB*
_____________*BBBBBBBBBBBBBBBBBBBBB*
______________*BBBBBBBBBBBBBBBBBB8
_______________*BBBBBBBBBBBBBBBB*
________________8BBBBBBBBBBBBBBB8
_________________8BBBBBBBBBBBBBBBo
__________________BBBBBBBBBBBBBBB8
__________________BBBBBBBBBBBBBBBB
__________________8BBBBBBBBBBBBBBB8
__________________*BBBBBBBBBBBBBBBB
__________________8BBBBBBBBBBBBBBBB8
_________________oBBBBBBBBBBBBBBBBBB
________________oBBBBBBBBBBBBBBBBBBB
________________BBBBBBBBBBBBBBBBBBBB
_______________8BBBBBBBBBBBBBBBBBBB8
______________oBBBBBBBBB88BBBBBBBBB8
______________8BBBBBBBBB*8BBBBBBBBB*
______________BBBBBBBBB* BBBBBBBBB8
______________BBBBBBBB8 oBBBBBBBBB*
______________8BBBBBBB oBBBBBBBB*
______________BBBBBBB* 8BBBBBBB*
_____________8BBBBBB* BBBBBBB*
____________8BBBBBB8 oBBBBBB8
___________8BBBBBB8 8BBBBBB*
__________oBBBBBB8 BBBBBBB8
__________BBBBBBB8 BBBBBBBB*
_________oBBBBBBB8 BBBBBBBB
_________8BBBBBB8 BBBBBBB*
_________BBBBBB* 8BBBBB*
________oBBBB8 BBBBB*
________oBBB8 BBBB*
________BBBB8 8BBBBo
_______8BBBB* oBBBBBBo
______8BBBB* *BBBBBBBB8o
______BBBBB* *88BBBo
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
256 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
584 KB |
Output is correct |
4 |
Correct |
2 ms |
584 KB |
Output is correct |
5 |
Correct |
2 ms |
584 KB |
Output is correct |
6 |
Correct |
2 ms |
584 KB |
Output is correct |
7 |
Correct |
2 ms |
584 KB |
Output is correct |
8 |
Correct |
2 ms |
584 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
89 ms |
1992 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
1992 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
2 ms |
1992 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
89 ms |
1992 KB |
Output isn't correct |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
256 KB |
Output is correct |
2 |
Correct |
2 ms |
376 KB |
Output is correct |
3 |
Correct |
2 ms |
584 KB |
Output is correct |
4 |
Correct |
2 ms |
584 KB |
Output is correct |
5 |
Correct |
2 ms |
584 KB |
Output is correct |
6 |
Correct |
2 ms |
584 KB |
Output is correct |
7 |
Correct |
2 ms |
584 KB |
Output is correct |
8 |
Correct |
2 ms |
584 KB |
Output is correct |
9 |
Incorrect |
89 ms |
1992 KB |
Output isn't correct |
10 |
Halted |
0 ms |
0 KB |
- |