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#include <bits/stdc++.h>
using namespace std;
ifstream f("puteri.in");
ofstream g("puteri.out");
bool prim[129];
int n,a[100005],b[100005],c[100005],bit[129],l[129],s[65][65][65];
long long sol;
inline long long solve(int mod)
{
int x,y,z;
long long sol=0;
memset(s,0,sizeof s);
for(int i=0; i<=128; i++)
l[i]=i%mod;
for(int i=0; i<n; ++i)
{
x=l[mod-l[a[i]]];
y=l[mod-l[b[i]]];
z=l[mod-l[c[i]]];
if(x<=64&&y<=64&&z<=64)
sol+=s[x][y][z];
s[l[a[i]]][l[b[i]]][l[c[i]]]++;
}
return sol;
}
int main()
{
freopen("puteri.in","r",stdin);
freopen("puteri.out","w",stdout);
scanf("%d",&n);
for(int i=0; i<n; i++)
scanf("%d %d %d",&a[i],&b[i],&c[i]);
for(int i=2; i<=128; i++)
bit[i]=1;
for(int i=2; i<=128; i++)
{
if(!prim[i])
{
for(int j=i; j<=128; j+=i)
{
bit[j]*=-1;
prim[j]=1;
}
for(int j=i*i; j<=128; j+=i*i)
bit[j]=0;
}
if(bit[i]!=0)
sol-=bit[i]*solve(i);
}
printf("%lld\n",sol);
return 0;
}