Vacuum cleaner route - Amazon coding interview question

This question is asked by Amazon. Given a string representing the sequence of moves a robot vacuum makes, return whether or not it will return to its original position. The string will only contain L, R, U, and D characters, representing left, right, up, and down respectively.

Ex: Given the following strings...

"LR", return true
"URURD", return false
"RUULLDRD", return true

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