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
using namespace std;
ll dp[1111][1111];
int main(){
ios_base::sync_with_stdio(0);
ll n, k;
cin>>n>>k;
for( ll i =1; i <= k ; i ++ ){
ll a, b;
cin>>a>>b>>a>>b;
dp[a][b]=1;
}
ll ans = 1000000000;
for( ll i = 1 ; i*i <= n ; i ++ ){
if( n % i == 0 ){
ll m=i, kolp1=0,kolp2=0 ;
for( ll x = 1; x <= n ; x ++ ){
for( ll y = 1; y <= n ; y ++ ){
if( ((x-1)/m)%2==0 && ((y-1)/m)%2 ==0 ) {
if( dp[x][y]==0 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2 ==0 && ((y-1)/m)%2 ==1 ) {
if( dp[x][y]==1 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2!=0 && ((y-1)/m)%2==0 ) {
if( dp[x][y]==1 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2 !=0 && ( (y-1)/m )%2 !=0 ) {
if( dp[x][y]==0 ) kolp1++;
else
kolp2++;
}
}
}
ans=min(ans,min(kolp1,kolp2));
m=n/i;kolp1=0;kolp2=0;
if( m != n ){
for( ll x = 1; x <= n ; x ++ ){
for( ll y = 1; y <= n ; y ++ ){
if( ((x-1)/m)%2==0 && ((y-1)/m)%2 ==0 ) {
if( dp[x][y]==0 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2 ==0 && ((y-1)/m)%2 ==1 ) {
if( dp[x][y]==1 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2!=0 && ((y-1)/m)%2==0 ) {
if( dp[x][y]==1 ) kolp1++;
else
kolp2++;
}
if( ((x-1)/m)%2 !=0 && ( (y-1)/m )%2 !=0 ) {
if( dp[x][y]==0 ) kolp1++;
else
kolp2++;
}
}
}
/// cout<<ans<<' '<<kolp1<<' '<<kolp2<<endl;
ans=min(ans,min(kolp1,kolp2));
}
}
}
cout<<ans;
}
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