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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
//------------------------------------------
#include <vector>
#include <list>
#include <map>
#include <climits>
#include <set>
#include <deque>
#include <stack>
#include <bitset>
#include <algorithm>
#include <functional>
#include <numeric>
#include <utility>
#include <sstream>
#include <iostream>
#include <iomanip>
#include <cstdio>
#include <cmath>
#include <cstdlib>
#include <cctype>
#include <string>
#include <cstring>
#include <ctime>
#include <queue>
#include <random>
#include <cctype>
#include <complex>
#include <regex>

using namespace std;

#define C_MAX(a, b) ((a)>(b)?(a):(b))
#define SHOW_VECTOR(v) {std::cerr << #v << "\t:";for(const auto& xxx : v){std::cerr << xxx << " ";}std::cerr << "\n";}
#define SHOW_MAP(v) {std::cerr << #v << endl; for(const auto& xxx: v){std::cerr << xxx.first << " " << xxx.second << "\n";}}

#define EPS 1e-8
#define EQ(a, b) (abs((a)-(b)) < EPS)

typedef complex<double> P;

double cross(P a, P b) {
    return a.real() * b.imag() - a.imag() * b.real();
}

double dot(P a, P b) {
    return a.real() * b.real() + a.imag() * b.imag();
}

int ccw(P p0, P p1, P p2) {
    p1 -= p0;
    p2 -= p0;
    if (cross(p1, p2) > EPS) return 1; //ccw
    if (cross(p1, p2) < -EPS) return -1; //cw
    if (dot(p1, p2) < -EPS) return 2; //left
    if (abs(p1) < abs(p2)) return -2; //right
    return 0; //mid
}

int main() {

    double xp0, yp0, xp1, yp1;
    cin >> xp0 >> yp0 >> xp1 >> yp1;

    P p0(xp0, yp0);
    P p1(xp1, yp1);

    int Q;
    cin >> Q;

    while (Q--) {

        double xp, yp;
        cin >> xp >> yp;

        P p2(xp, yp);

        int ans = ccw(p0, p1, p2);

        string s = "";
        if (ans == 1) s = "COUNTER_CLOCKWISE";
        if (ans == -1) s = "CLOCKWISE";
        if (ans == 2) s = "ONLINE_BACK";
        if (ans == -2) s = "ONLINE_FRONT";
        if (ans == 0) s = "ON_SEGMENT";

        cout << s << endl;
    }

    return 0;
}












































