#include <fstream>
#include <vector>
using namespace std;
ifstream fin("puteri.in");
ofstream fout("puteri.out");
#define dim 100005
struct lista
{
	int x, y, z;
}v[dim];

inline int euclid(int a, int b)
{
	if(b==0)
		return a;
	else
		return euclid(b,a%b);
}

int main()
{
	int n, i, j;
	fin>>n;
	for(i=1;i<=n;++i)
		fin>>v[i].x >>v[i].y >>v[i].z;
	int sol=0;
	for(i=1;i<=n;++i)
		for(j=i+1;j<=n;++j)
		{
			int a=v[i].x+v[j].x;
			int b=v[i].y+v[j].y;
			int c=v[i].z+v[j].z;
			
				int d=euclid(a,b);
				if(d==1)
					continue;
				else
					if(c%d==0)
						++sol;
		}
				
		fout<<sol;
		
	return 0;
}