Submission #89434

#TimeUsernameProblemLanguageResultExecution timeMemory
89434RAkhshonChessboard (IZhO18_chessboard)C++14
70 / 100
557 ms11712 KiB
#include<bits/stdc++.h>
#define ll long long
using namespace std;
///map< ll , ll > dp[101101];
ll a[101101], b[101101];
int main(){
ios_base::sync_with_stdio(0);
ll n, k;
cin>>n>>k;
for( ll i =1; i <= k ; i ++ ){
    cin>>a[i]>>b[i]>>a[i]>>b[i];
}
ll ans = 10000000000;
for( ll i = 1 ; i*i <= n ; i ++ ){
    if( n % i == 0 ){
            ll m=i, kolp1=0,kolp2=0 ;
            kolp1=((n*n)/(m*m))/2+(((n*n)/(m*m))%2);
            kolp2=((n*n)/(m*m))/2;
            kolp1=kolp1*m*m;
            kolp2=kolp2*m*m;
            ///cout<<kolp1<<' '<<kolp2<<' '<<m<<endl;
            for( ll x = 1; x <= k ; x ++ ){
                if( ((a[x]-1)/m)%2==0 && ( (b[x]-1)/m)%2==0 ){
                    kolp1--;
                }
                else
                if( ((a[x]-1)/m)%2!=0 && ((b[x]-1)/m)%2!=0 ){
                    kolp1--;
                }
                else {
                    kolp1++;
                }

                if( ((a[x]-1)/m)%2==0 && ((b[x]-1)/m)%2!=0 ){
                    kolp2--;
                }
                else
                if( ((a[x]-1)/m)%2!=0 && ((b[x]-1)/m)%2==0 ){
                    kolp2--;
                }
                else {
                    kolp2++;
                }

            }
           ///cout<<kolp1<<' '<<kolp2<<' '<<m<<endl;

           ans=min(ans,min(kolp1,kolp2));
            m=n/i;
            if( m != n ){
            kolp1=((n*n)/(m*m))/2+((n*n)/(m*m))%2;
            kolp2=((n*n)/(m*m))/2;
            kolp1=kolp1*m*m;
            kolp2=kolp2*m*m;
          /// cout<<kolp1<<' '<<kolp2<<' '<<m<<endl;
            for( ll x = 1; x <= k ; x ++ ){
              if( ((a[x]-1)/m)%2==0 && ( (b[x]-1)/m)%2==0 ){
                    kolp1--;
                }
                else
                if( ((a[x]-1)/m)%2!=0 && ((b[x]-1)/m)%2!=0 ){
                    kolp1--;
                }
                else {
                    kolp1++;
                }

                if( ((a[x]-1)/m)%2==0 && ((b[x]-1)/m)%2!=0 ){
                    kolp2--;
                }
                else
                if( ((a[x]-1)/m)%2!=0 && ((b[x]-1)/m)%2==0 ){
                    kolp2--;
                }
                else {
                    kolp2++;
                }
        }
            }
           ans=min(ans,min(kolp1,kolp2));

    }
}
cout<<ans;
}
/**
9 10
1 1 1 1
4 4 4 4
4 5 4 5
4 6 4 6
5 4 5 4
5 5 5 5
5 6 5 6
6 4 6 4
6 5 6 5
6 6 6 6
**/
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