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#include <fstream>
#include <bitset>
using namespace std;
class InParser
{
#pragma warning(disable:4996)
private:
FILE* fin;
char* buff;
int sp;
char read()
{
++sp;
if (sp == 4096)
{
sp = 0;
fread(buff, 1, 4096, fin);
}
return buff[sp];
}
public:
InParser(const char* nume)
{
sp = 4095;
buff = new char[4096];
fin = fopen(nume, "r");
}
InParser& operator >> (int& n)
{
char c;
while (!isdigit(c = read()));
n = c - '0';
while (isdigit(c = read()))
n = n * 10 + c - '0';
return *this;
}
};
InParser fin("puteri.in");
ofstream fout("puteri.out");
const int NMAX = 65;
bitset <NMAX> put[NMAX][NMAX];
int p[NMAX][NMAX][NMAX], a, b, c, n;
long long cnt;
int main()
{
for (int i = 2; i <= 64; ++i)
for (int j = 0; j <= 64; j += i)
for (int k = 0; k <= 64; k += i)
{
put[i][j][k] = 1;
put[j][k][i] = 1;
put[k][i][j] = 1;
}
fin >> n;
while (n--)
{
fin >> a >> b >> c;
for (int i = 0; i <= 64; ++i)
for (int j = 0; j <= 64; ++j)
for (int k = 0; k <= 64; ++k)
if (put[i][j][k])
{
int i_a = i - a, j_b = j - b, k_c = k - c;
if (i_a >= 0 && j_b >= 0 && k_c >= 0)
cnt += p[i_a][j_b][k_c];
}
++p[a][b][c];
}
fout << cnt << "\n";
fout.close();
return 0;
}