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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
#define  _CRT_SECURE_NO_WARNINGS
#include <stdio.h>
#include <algorithm>
#include <utility>
#include <functional>
#include <cstring>
#include <queue>
#include <stack>
#include <math.h>
#include <iterator>
#include <vector>
#include <string>
#include <set>
#include <math.h>
#include <iostream>
#include <random>
#include<map>
#include <iomanip>
#include <time.h>
#include <stdlib.h>
#include <list>
#include <typeinfo>
#include <list>
#include <set>
#include <cassert>
#include<fstream>
#include <unordered_map>
#include <cstdlib>
using namespace std;
#define Ma_PI 3.141592653589793
#define eps 0.00001
#define LONG_INF 3000000000000000000
#define GOLD 1.61803398874989484820458
#define MAX_MOD 1000000007
#define MOD 998244353
#define REP(i,n) for(long long i = 0;i < n;++i)    
#define seg_size 524288
#include <complex>
typedef complex<double> P;
double dot(P a, P b) {
	return (a.real() * b.real() + a.imag() * b.imag());
}
double cross(P a, P b) {
	return (a.real() * b.imag() - a.imag() * b.real());
}
int main() {
	double a, b, c, d;
	cin >> a >> b >> c >> d;
	int query;
	cin >> query;
	REP(i, query) {
		double e, f;
		cin >> e >> f;
		P A = P(c - a, d - b);
		P B = P(e - a, f - b);
		if (cross(A, B) > eps) {
			cout << "COUNTER_CLOCKWISE" << endl;
			continue;
		}
		if (cross(A, B) < -eps) {
			cout << "CLOCKWISE" << endl;
			continue;
		}
		if (dot(A, B) < -eps) {
			cout << "ONLINE_BACK" << endl;
			continue;
		}
		if (abs(A) < abs(B)) {
			cout << "ONLINE_FRONT" << endl;
			continue;
		}
		cout << "ON_SEGMENT" << endl;
	}
	return 0;
}
