**Time limit:**1.00 s**Memory limit:**512 MB

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