#include<bits/stdc++.h>
using namespace std;
//typedef int long long;
map<pair<int,int>,int> mp;

signed main() {
	// 0 4 4 0
	int n;
	cin>>n;
	double x1,x2,y1,y2;
	for(int i=1; i<=n; i++) {
		cin>>x1>>y1>>x2>>y2;
		double k;
		if(x2<x1){
			swap(y1,y2);
			swap(x1,x2);
		}
		if(x1!=x2) k=(y2-y1)/(x2-x1);
		else{
			//cout<<"x1==x1"<<endl;
			if(y2<y1) swap(y1,y2);
			for(int y=y1;y<=y2;y++){
				mp[{x1,y}]++;
			}
			continue;
		}
		double b=y1-k*x1;
		int x;
		double y;
		if(k>=0) {
			for(x=x1; x<=x2; x++) {
				y=k*x+b;
				if(fabs(y - int(y)) <1e-9) mp[{x,y}]++;
			}
		}
		else if(k<0){
			for(x=x1;x<=x2;x++){
				y=k*x+b;
				if(fabs(y - int(y)) <1e-9) mp[{x,y}]++;
			}
		}
	}
	int ans=0;
	for(auto x:mp) {
		if(x.second>1) {
			ans++;
		}
	}
	cout<<ans<<endl;
	return 0;
}