<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 <bits/stdc++.h>
using namespace std;
#define int long long   // <-----!!!!!!!!!!!!!!!!!!!

#define rep(i,n) for (int i=0;i<(n);i++)
#define rep2(i,a,b) for (int i=(a);i<(b);i++)
#define rrep(i,n) for (int i=(n)-1;i>=0;i--)
#define rrep2(i,a,b) for (int i=(b)-1;i>=(a);i--)
#define all(a) (a).begin(),(a).end()

typedef long long ll;
typedef pair<int, int> Pii;
typedef tuple<int, int, int> TUPLE;
typedef vector<int> V;
typedef vector<V> VV;
typedef vector<VV> VVV;

typedef complex<double> P;

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

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

// 0: counter-clockwise
// 1: clockwise
// 2: online_back
// 3: online_front
// 4: on_segment
int ccw(P p0, P p1, P p2) {
    if (cross(p1 - p0, p2 - p0) > 0) return 0;
    if (cross(p1 - p0, p2 - p0) < 0) return 1;
    if (dot(p1 - p0, p2 - p0) < 0) return 2;
    if (dot(p0 - p1, p2 - p1) < 0) return 3;
    return 4;
}

signed main() {
    std::ios::sync_with_stdio(false);
    std::cin.tie(0);

    double x0, y0, x1, y1;
    cin >> x0 >> y0 >> x1 >> y1;
    P p0(x0, y0), p1(x1, y1);
    int q;
    cin >> q;
    while (q--) {
        double x2, y2;
        cin >> x2 >> y2;
        P p2(x2, y2);
        switch (ccw(p0, p1, p2)) {
            case 0: cout << "COUNTER_CLOCKWISE" << endl; break;
            case 1: cout << "CLOCKWISE" << endl; break;
            case 2: cout << "ONLINE_BACK" << endl; break;
            case 3: cout << "ONLINE_FRONT" << endl; break;
            case 4: cout << "ON_SEGMENT" << endl; break;
        }
    }

}