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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 <cmath>
#include <stdio.h>

using namespace std;


int main(void){

    pair<double, double> p0, p1, p2;
    int n;
    cin >> p0.first >> p0.second >> p1.first >> p1.second;
    cin >> n;

    while(n--){
        cin >> p2.first >> p2.second;
        // ??????
        double crossProduct = (p1.first - p0.first)*(p2.second - p0.second)
            - (p1.second - p0.second)*(p2.first - p0.first);

        if(crossProduct > 0){ // counter clockwise
            cout << "COUNTER_CLOCKWISE" << endl;
        }else if(crossProduct < 0){ // clockwise
            cout << "CLOCKWISE" << endl;
        }else{ // on line
            // ??????
            double innerProduct = (p1.first - p0.first)*(p2.first - p0.first)
                + (p1.second - p0.second)*(p2.second - p0.second);
            if(innerProduct >= 0){ // ????????????
                double a, b;
                a = sqrt( pow(p1.first - p0.first, 2) + pow(p1.second - p0.second, 2) );
                b = sqrt( pow(p2.first - p0.first, 2) + pow(p2.second - p0.second, 2) );
                if(a >= b){
                    cout << "ON_SEGMENT" << endl;
                }else{
                    cout << "ONLINE_FRONT" << endl;
                }
            }else if(innerProduct < 0){ // ?????????
                cout << "ONLINE_BACK" << endl;
            }
        }
    }

    return 0;
}