// In the name of God
#include <bits/stdc++.h>
#include <conio.h>
#define ff first
#define ss second
#define pb push_back
#define pp pop_back
#define mp make_pair
#define db double
#define INF 1000000009
#define ll long long
#define all(a) a.begin(), a.end()
#define iOS ios_base::sync_with_stdio(false)
using namespace std;
const int N = 2e5 + 9, mod = 1e9+7;
int n,k;
struct gr{
int x1,y1,x2,y2;
};
gr d[N];
int f(int v, int p){
if(v%p==0) return v;
return (v/p+1)*p;
}
int ters(int col){
return (col==1?0:1);
}
ll solve(int p, int col){
ll as_ak = 0 , as_gara = 0;
if( (n/p)%2 == 0 ){
as_gara = (n*n)/2;
}
else{
int k = n/p;
k = k/p;
as_gara = k*k*p*p + (k+1)*(k+1)*p*p;
if( col == 0 ) as_gara = abs( (n*n*1LL) - as_gara );
}
ll gara = 0 , ak = 0 ;
for(int i=1;i<=k;i++){
gr a = d[i] , b;
b = a;
while(true){
gr c;
c.x2 = f(a.x1,p);
c.x1 = c.x2 - p + 1;
c.y2 = f(a.y1,p);
c.y1 = c.y2 - p + 1;
gr e = c;
e.x1 = max( c.x1 , a.x1 );
e.y1 = max( c.y1 , a.y1 );
e.x2 = min( c.x2 , a.x2 );
e.y2 = min( c.y2 , a.y2 );
ll S = 1LL*abs( e.x2 - e.x1 + 1 ) * abs(e.y2 - e.y1 + 1);
int o1 = f(c.x1,p);
int o2 = f(c.y1,p);
if( (o1/p)%2 == (o2/p)%2 ){
if(col == 1) gara+=S;
else ak+=S;
}
else{
if(ters(col) == 1) gara+=S;
else ak+=S;
}
if( e.x2 == a.x2 && e.y2 == a.y2 ) break;
a.y1 = f(a.y1,p) + 1;
if(a.y1 > a.y2) a.x1 = f(a.x1,p) + 1 , a.y1 = b.y1;
}
/*
int o1 = f(a[i].x1,p);
int o2 = f(a[i].y1,p);
if( (o1/p)%2 == (o2/p)%2 ){
if(col == 1) gara++;
else ak++;
}
else{
if( ters(col) == 1 ) gara++;
else ak++;
}
*/
}
//cout << as_gara << " " << " " << ((as_gara - gara) + ak) << " " << p << " " << col << endl;
// as_garada problema bar.
return ((as_gara - gara) + ak);
}
int main(){
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
cin>>n>>k;
for(int i=1;i<=k;i++){
cin>>d[i].x1>>d[i].y1>>d[i].x2>>d[i].y2;
}
ll mn = INF;
for(int i=1;i<n;i++){
if(n%i == 0){
mn = min( mn, solve(i,0) );
mn = min( mn, solve(i,1) );
}
}
cout <<mn;
return 0;
}
Compilation message
chessboard.cpp:4:10: fatal error: conio.h: No such file or directory
#include <conio.h>
^~~~~~~~~
compilation terminated.
