Return to Origin

Given a string representing the moves of a robot, determine if the robot returns to its original position after executing all the moves.

The move string consists of the characters 'U' (up), 'D' (down), 'L' (left), and 'R' (right). The robot starts at the origin (0, 0) and each move changes its coordinates by one unit in the corresponding direction.

In other words, if after executing all moves the coordinates (x, y) satisfy the conditions \( x = 0 \) and \( y = 0 \), then the robot returns to its starting position. Otherwise, it does not.

inputFormat

The input is read from the standard input (stdin). It consists of a single line containing a non-empty string moves where each character is one of 'U', 'D', 'L', or 'R'.

outputFormat

Output a single line to the standard output (stdout) containing either True if the robot returns to the origin, or False otherwise.

True