#include <fstream>
#include <algorithm>
#include <algorithm>
#include <vector>
#include <cstring>
using namespace std;

ifstream fin("puteri.in");
ofstream fout("puteri.out");

struct tr {
    int a, b, c;
    tr(int _a = 0, int _b = 0, int _c = 0) {
        a = _a;
        b = _b;
        c = _c;
    }
};

vector<tr> v;

int d[65][65][65];

int get(int x) {
    int ans = 0;
    for(int d = 2; d <= x; d++) {
        int p = 0;
        while(x % d == 0) {
            x /= d;
            p++;
        }
        if(p > 1) {
            return -1;
        }
        if(p == 1) {
            ans++;
        }
    }
    return ans;
}

int main() {
    int n;
    fin >> n;
    v.reserve(n + 1);
    for(int i = 1; i <= n; i++) {
        int a, b, c;
        fin >> a >> b >> c;
        v.push_back(tr(a, b, c));
    }

    long long ans = 0;
    for(int i = 2; i <= 128; i++) {
        int val = get(i);
        if(val != -1) {
            int sg = 1;

            for(int i1 = 0; i1 < min(i, 65); i1++) {
                for(int i2 = 0; i2 < min(i, 65); i2++) {
                    for(int i3 = 0; i3 < min(i, 65); i3++) {
                        d[i1][i2][i3] = 0;
                    }
                }
            }

            if(val % 2 == 0) {
                sg = -1;
            }

            for(auto it : v) {
                int a = (i - it.a % i) % i;
                int b = (i - it.b % i) % i;
                int c = (i - it.c % i) % i;
                if(a < 65 && b < 65 && c < 65) {
                    ans += sg * d[a][b][c];
                }
                d[it.a % i][it.b % i][it.c % i]++;
            }
        }
    }
    fout << ans;
    return 0;
}