# include <bits/stdc++.h>
# define md(x) md[x]
# define ll long long
using namespace std;
class Reader {
  public:
    Reader(const string& filename):
            m_stream(filename),
            m_pos(kBufferSize - 1),
            m_buffer(new char[kBufferSize]) {
        next();
    }

    Reader& operator>>(int& value) {
        value = 0;
        while (current() < '0' || current() > '9')
            next();
        while (current() >= '0' && current() <= '9') {
            value = value * 10 + current() - '0';
            next();
        }
        return *this;
    }

  private:
    const int kBufferSize = 32768;

    char current() {
        return m_buffer[m_pos];
    }

    void next() {
        if (!(++m_pos != kBufferSize)) {
            m_stream.read(m_buffer.get(), kBufferSize);
            m_pos = 0;
        }
    }

    ifstream m_stream;
    int m_pos;
    unique_ptr<char[]> m_buffer;
};
Reader fi("puteri.in");
ofstream fo("puteri.out");
const int pw[] = {-1,1};
const int nmax = 1 << 7;
int md[nmax + 777];
int s[65][65][65];
int ok(int p)
{
    bool k = 0;
    for (int i = 2;i*i <= p;++i)
    if (!(p%i))
    {
        p /= i;
        if (!(p%i)) return 0;
        k = 1 - k;
    }
    if (p > 1) k = 1 - k;
    return pw[k];
}
int main(void)
{
    int n;
    fi>>n;
    int * a;
    int * b;
    int * c;
    a = new int [n+1];
    b = new int [n+1];
    c = new int [n+1];
    int nx = 0;
    for (int i = 1;i <= n;++i) fi>>a[i]>>b[i]>>c[i];
    ll ans = 0;
    for (int mod = 2;mod <= 128;++mod)
    if (ok(mod))
    {
        int r = ok(mod);
        for (int j = 0;j <= 128;++j) md[j] = j % mod;
        memset(s,0,sizeof(s));
        for (int i = 1;i <= n;++i)
        {
            int x = md(mod - md(a[i])),y = md(mod - md(b[i])),z = md(mod - md(c[i]));
            if (x < 65 && y < 65 && z < 65)
                ans += r * s[x][y][z];
            ++s[md(a[i])][md(b[i])][md(c[i])];
        }
    }
    return fo << ans << '\n',0;
}