Check a Robot's Final Displacement
Company: Bloomberg
Role: Software Engineer
Category: Coding & Algorithms
Difficulty: easy
Interview Round: Other
### Problem
A robot begins at (0,0). Each character in moves takes one equal-length step: R right, L left, U up, D down. Directions are absolute and do not depend on facing. Return whether its final position is the origin.
```cpp
class Solution {
public:
bool judgeCircle(string moves);
};
```
### Examples
**Example 1:**
```text
moves = "RULD"
Output: true
Explanation: Horizontal and vertical displacements both cancel.
```
**Example 2:**
```text
moves = "UURD"
Output: false
Explanation: The robot ends one step right and one step up.
```
### Constraints
- There are 1..20000 move characters, all chosen from U,D,L,R.
### Clarifying Questions
Use absolute directions and assess the final position rather than an intermediate visit.
```hint Read the boundary condition
Which two independent balances determine the final location?
```
### Contract considerations
Use absolute directions and assess the final position rather than an intermediate visit.
Overview: A robot starts at the origin and follows equal-length moves up, down, left, or right. Determine whether its final displacement is zero after the full sequence; the robot's facing direction does not affect any move.