CSES - Point Location Test
  • Time limit: 1.00 s
  • Memory limit: 512 MB
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