<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<string>
#include<algorithm>
#include<vector>
#include<queue>
#include<map>
#include<math.h>
#include<iomanip>
#include<set>
#include<numeric>
#include<cstring>
#include<cstdio>
#include<functional>
#include<bitset>
#include<limits.h>
#include<cassert>
#include<iterator>
#include<complex>
#include<stack>
#include<sstream>
#include<iterator>
#include<list>

using namespace std;

typedef  long long int lint;

#define rep(i, n) for (lint i = 0; i < n; i++)
#define sort(v) sort((v).begin(), (v).end())
#define reverse(v) reverse((v).begin(), (v).end())
#define upper(v,hoge) upper_bound(v.begin(),v.end(),hoge)
#define lower(v,hoge) lower_bound(v.begin(),v.end(),hoge)
#define mp make_pair
#define IP pair<int,int>
#define enld endl

int main() {
	double x0, y0, x1, y1;
	cin >> x0 >> y0 >> x1 >> y1;
	lint q;
	cin >> q;
	rep(_, q) {
		double x2, y2;
		cin >> x2 >> y2;
		double X1 = x1 - x0;
		double Y1 = y1 - y0;
		double X2 = x2 - x0;
		double Y2 = y2 - y0;
		double G = X1 * Y2 - X2 * Y1;
		if (G > 0) {
			cout << "COUNTER_CLOCKWISE" << enld;
		}
		else if (G < 0) {
			cout << "CLOCKWISE" << enld;
		}
		else if (G == 0) {
			if (X2 == 0&&Y2==0) {
				cout << "ON_SEGMENT" << enld;
			}
			else if(Y2==0) {
				double k = X1 / X2;
				if (k >= 1) {
					cout << "ON_SEGMENT" << endl;
				}
				else if (k > 0) {
					cout << "ONLINE_FRONT" << endl;
				}
				else if (k < 0) {
					cout << "ONLINE_BACK" << endl;
				}
			}
			else {
				double k = Y1 / Y2;
				if (k >= 1) {
					cout << "ON_SEGMENT" << endl;
				}
				else if (k > 0) {
					cout << "ONLINE_FRONT" << endl;
				}
				else if (k < 0) {
					cout << "ONLINE_BACK" << endl;
				}
			}
		}
	}
}
