<image>

For given three points p0, p1, p2, print


COUNTER_CLOCKWISE


if p0, p1, p2 make a counterclockwise turn (1),


CLOCKWISE


if p0, p1, p2 make a clockwise turn (2),


ONLINE_BACK


if p2 is on a line p2, p0, p1 in this order (3),


ONLINE_FRONT


if p2 is on a line p0, p1, p2 in this order (4),


ON_SEGMENT


if p2 is on a segment p0p1 (5).

Constraints

* 1 ≤ q ≤ 1000
* -10000 ≤ xi, yi ≤ 10000
* p0 and p1 are not identical.

Input


xp0 yp0 xp1 yp1
q
xp20 yp20
xp21 yp21
...
xp2q-1 yp2q-1


In the first line, integer coordinates of p0 and p1 are given. Then, q queries are given for integer coordinates of p2.

Output

For each query, print the above mentioned status.

Examples

Input

0 0 2 0
2
-1 1
-1 -1


Output

COUNTER_CLOCKWISE
CLOCKWISE


Input

0 0 2 0
3
-1 0
0 0
3 0


Output

ONLINE_BACK
ON_SEGMENT
ONLINE_FRONT
#include <iostream>
#include <vector>
#include <numeric>
#include <string>
#include <complex>
#include <iomanip>
using namespace std;
typedef complex<double> P;
const double EPS = 1e-10;

namespace std
{
bool operator<(P &a, P &b)
{
    return real(a) != real(b) ? real(a) < real(b) : imag(a) < imag(b);
}
} // namespace std

double dot(P a, P b)
{
    return real(a) * real(b) + imag(a) * imag(b);
}

double cross(P a, P b)
{
    return real(a) * imag(b) - imag(a) * real(b);
}

int ccw(P a, P b, P c)
{
    b -= a;
    c -= a;
    if (cross(b, c) > 0)
        return 1;
    if (cross(b, c) < 0)
        return -1;
    if (dot(b, c) < 0)
        return 2;
    if (norm(b) < norm(c))
        return -2;
    return 0;
}
int main(void)
{

    double a, b, c, d;
    cin >> a >> b >> c >> d;

    P p1(a, b);
    P p2(c, d);
    int q;
    cin >> q;
    for (int i = 0; i < q; ++i)
    {
        double x, y;
        cin >> x >> y;
        P p(x, y);

        switch (ccw(p1, p2, p))
        {
        case (1):
            cout << "COUNTER_CLOCKWISE" << endl;
            break;
        case (-1):
            cout << "CLOCKWISE" << endl;
            break;
        case (2):
            cout << "ONLINE_BACK" << endl;
            break;
        case (-2):
            cout << "ONLINE_FRONT" << endl;
            break;
        case (0):
            cout << "ON_SEGMENT" << endl;
            break;
        default:
            break;
        }
    }
}
