Point Location Test

There is a line that goes through the points p_1=(x_1,y_1) and p_2=(x_2,y_2). There is also a point p_3=(x_3,y_3). Your task is to determine whether p_3 is located on the left or right side of the line or if it touches the line when we are looking from p_1 to p_2.

Input

The first input line has an integer t: the number of tests. After this, there are t lines that describe the tests. Each line has six integers: x_1, y_1, x_2, y_2, x_3 and y_3.

Output

For each test, print "LEFT", "RIGHT" or "TOUCH".

Constraints

$1 \le t \le 10^5$

$-10^9 \le x_1, y_1, x_2, y_2, x_3, y_3 \le 10^9$

$x_1 \neq x_2 or y_1 \neq y_2$

Example

Input

3
1 1 5 3 2 3
1 1 5 3 4 1
1 1 5 3 3 2

Output

LEFT
RIGHT
TOUCH