#include<stdio.h>
int aux,d[130][130],a[100000],b[100000],c[100000],p,q,r;
long int n,i,j,sol;
int main()
{       for(i=0;i<=128;i++)
	{d[i][i]=i;d[i][0]=i;d[0][i]=i;}
	for(i=1;i<=127;i++)
	for(j=i+1;j<=128;j++)
	{ p=i;q=j;
	  while(p)
	  { q=q%p;aux=p;p=q;q=aux;}
	    d[i][j]=q;
	    d[j][i]=q;
	}
	FILE *f;
	f=fopen("puteri.in","r");
	fscanf(f,"%ld",&n);
	for(i=0;i<n;i++)
	fscanf(f,"%d%d%d",&a[i],&b[i],&c[i]);
	fclose(f);
	for(i=0;i<n-1;i++)
	for(j=i+1;j<n;j++)
	{p=a[i]+a[j];
	 q=b[i]+b[j];
	 r=c[i]+c[j];
	 p=d[p][q];q=d[p][r];
	 if(p>1)sol++;
	}
	f=fopen("puteri.out","w");
	fprintf(f,"%lld\n",sol);
	fclose(f);
	return 0;
}