#C10113. Return to Origin

    ID: 39283 Type: Default 1000ms 256MiB

Return to Origin

Return to Origin

Given a string s consisting only of the characters 'U', 'D', 'L', and 'R', determine whether the sequence of moves returns to the origin \((0,0)\). Each character in the string represents a movement: 'U' for up, 'D' for down, 'L' for left, and 'R' for right. The origin is defined by the coordinates \((0,0)\). If after performing all the moves the point is back at the origin, output "True"; otherwise, output "False".

Note: The input will be provided via standard input (stdin) and your output must be printed to standard output (stdout). Ensure your solution reads the entire input in one go.

inputFormat

The input consists of a single line containing a string s composed only of the characters 'U', 'D', 'L', and 'R'. The string can be empty, which indicates no movement.

outputFormat

Print a single line containing True if the moves result in the point returning to the origin \((0,0)\), otherwise print False.

## sample
UDLR
True

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