#include<bits/stdc++.h>
using namespace std;
long long n,m,l,r,N,M,x,y;
int q,X,Y;
int main(){
	cin>>n>>m>>q;
	long long GCD=__gcd(n,m);
	N=n/GCD;M=m/GCD;
	while(q--){
		cin>>X>>x>>Y>>y;
		x--;y--;
		if(X==1)l=x/N;else l=x/M;
		if(Y==1)r=y/N;else r=y/M;
		if(l==r)cout<<"YES"<<endl;else cout<<"NO"<<endl;
	}
	return 0;
}