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

For example, here is a path from $a=(1,3)$ to $b=(3,6)$ in a $4 \times 7$ grid:

**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 $n$, $m$, $y_1$, $x_1$, $y_2$ and $x_2$.

In all tests $1 \le y_1,y_2 \le n$ ja $1 \le x_1,x_2 \le m$. In addition, $y_1 \neq y_2$ or $x_1 \neq x_2$.

**Output**

Print YES, if it is possible to construct a path, and NO otherwise.

If there is a path, also print its description which consists of characters

`U`

(up), `D`

(down), `L`

(left) ja `R`

(right). If there are several paths, you can print any of them.**Constraints**

- $1 \le t \le 100$

- $1 \le n \le 50$

- $1 \le m \le 50$

**Example**

Input:

`5`

1 3 1 1 1 3

1 3 1 2 1 3

2 2 1 1 2 2

2 2 1 1 2 1

4 7 1 3 3 6

Output:

`YES`

RR

NO

NO

YES

RDL

YES

RRRRDDDLLLLLLUUURDDRURDRURD