Robot Movement Simulation

You are given a sequence of commands to control a robot on a 2D plane. The robot starts at the origin \((0,0)\) facing north. It accepts the following commands:

• move X: Move forward \(X\) units in the current direction.
• left: Turn 90 degrees to the left, i.e., update the current direction as \(d = (d - 1) \mod 4\).
• right: Turn 90 degrees to the right, i.e., update the current direction as \(d = (d + 1) \mod 4\).

The simulation proceeds by processing a list of commands in order. The robot does not move when turning. The final position should be output as the coordinates \(x\) and \(y\) separated by a space.

The input consists of multiple test cases. For each test case, the first line is an integer \(N\) representing the number of commands, followed by \(N\) lines each containing a command. The sequence terminates when a test case with \(N = 0\) is encountered. For each test case, print the final \(x\) and \(y\) coordinates on a separate line.

inputFormat

The input is read from standard input (stdin) and consists of multiple test cases. Each test case has the following format:

N
command_1
command_2
... 
command_N

Here, \(N\) is a positive integer representing the number of commands. The commands can be:

• move X (where X is a positive integer)
• left
• right

The input terminates with a line containing a single 0, which should not be processed.

outputFormat

For each test case, output a single line containing two integers separated by a space: the final \(x\) and \(y\) coordinates of the robot after executing all commands.

## sample

3
move 2
right
move 3
0

3 2

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