<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;

using ll = long long; using ld = long double; using ull = unsigned long long; using uint = unsigned int;
using vi  = vector<int>; using vb  = vector<bool>; using vd  = vector<double>; using vl  = vector<ll>;
using vvi = vector<vi>;  using vvb = vector<vb>;   using vvd = vector<vd>;     using vvl = vector<vl>;

#define REP(i,n) for(ll i=0; i<(n); ++i)
#define FOR(i,b,n) for(ll i=(b); i<(n); ++i)
#define ALL(v) (v).begin(), (v).end()
#define TEN(x) ((ll)1e##x)

template<typename T> inline string join(const vector<T>& vec, string sep = " ") { stringstream ss; REP(i, vec.size()) ss << vec[i] << ( i+1 == vec.size() ? "" : sep ); return ss.str(); }


///////////////

#define EPS (1e-10)
#define NEXT(x, i) (x[(i + 1) % x.size()])

template<class T> using CR = const T &;
using P = complex<ld>;
using G = vector<P>;

int sgn(ld a, ld b = 0) {
	if (a > b + EPS) return 1;
	if (a < b - EPS) return -1;
	return 0;
}

ld dot(P a, P b) { return real(conj(a)*b); }
ld cross(P a, P b) { return imag(conj(a)*b); }

int ccw(P a, P b, P c) {
	b -= a;
	c -= a;
	if (sgn(cross(b, c))) return sgn(cross(b, c)); // clockwise or counter clockwise
	if (sgn(dot(b, c)) == -1) return 2;            // c--a--b
	if (sgn(norm(b), norm(c)) == -1) return -2;    // a--b--c
	return 0;                                      // a--c--b
}


//////////////

int main() {
#ifdef INPUT_FROM_FILE
	ifstream cin("sample.in");
	ofstream cout("sample.out");
#endif
	cin.tie(0);
	ios_base::sync_with_stdio(false);
	cout << fixed << setprecision(30);
	ld x1, y1, x2, y2;
	cin >> x1 >> y1 >> x2 >> y2;
	P p0(x1,y1), p1(x2,y2);
	ll q;
	cin >> q;
	while(q--) {
		ld x, y;
		cin >> x >> y;
		P p2(x, y);
		int c = ccw(p0, p1, p2);
		cout <<
			(c == 1 ? "COUNTER_CLOCKWISE"
			 : c == -1 ? "CLOCKWISE"
			 : c ==  2 ? "ONLINE_BACK"
			 : c == -2 ? "ONLINE_FRONT"
			 : "ON_SEGMENT"
			) << endl;
	}

	return 0;
}