#include<fstream.h>
#define dim 100001
struct puteri
 {int p2,p3,p5;
 };
puteri v[dim];
unsigned long k;
long cmmdc(long a,long b)
{if(!a) return b;
if(!b) return a;
long r;
do
 {r=a%b;
  a=b;
  b=r;
 }
while(r);
return a;
}
int main()
{ifstream f("puteri.in");
ofstream g("puteri.out");
long n,i,x,y,z,j;
f>>n;
f>>v[1].p2>>v[1].p3>>v[1].p5;
for(i=2;i<=n;i++)
   {f>>v[i].p2>>v[i].p3>>v[i].p5;
    for(j=1;j<i;j++)
     {x=v[j].p2+v[i].p2;y=v[j].p3+v[i].p3;z=v[j].p5+v[i].p5;
      x=cmmdc(x,y);
      if(x>1) {x=cmmdc(x,z);if(x>1) k++;}
     }
   }
f.close();
g<<k<<'\n';
g.close();
return 0;
}