Robot Final Position

You are given a series of commands that control the movement of a robot on a 2D plane. The commands consist of the characters U, D, L, and R representing up, down, left, and right moves respectively. The robot starts at the origin (0, 0). For each command, update the robot's position accordingly:

• U: Increase the y-coordinate by 1.
• D: Decrease the y-coordinate by 1.
• L: Decrease the x-coordinate by 1.
• R: Increase the x-coordinate by 1.

You are required to process multiple test cases. For each test case, output the final coordinate of the robot in the format x y on a separate line.

The movement can be described by the following formulas in LaTeX format:

$$ x = \sum_{i=1}^{n} \delta_{x}(command_i), \quad y = \sum_{i=1}^{n} \delta_{y}(command_i) $$

where \( \delta_{x}(\cdot) \) and \( \delta_{y}(\cdot) \) represent the change in the x and y coordinates respectively for each command.

inputFormat

The first line of input contains an integer T representing the number of test cases.

Each of the next T lines contains a single string composed of the characters U, D, L, and R. This string represents the sequence of commands for that test case. Note that the string may be empty, which means no movement.

outputFormat

For each test case, output a single line with two integers: the final x and y coordinates of the robot after executing all commands.

The coordinates should be separated by a space.

## sample

3
UUUDD
LLRR
UDLR

0 1
0 0
0 0

</p>