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Leetcode #2833: Furthest Point From Origin

In this guide, we solve Leetcode #2833 Furthest Point From Origin in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

You are given a string moves of length n consisting only of characters 'L', 'R', and '_'. The string represents your movement on a number line starting from the origin 0.

Quick Facts

  • Difficulty: Easy
  • Premium: No
  • Tags: String, Counting

Intuition

We need to scan characters while tracking positions or counts.

A simple state machine keeps the logic precise.

Approach

Iterate through the string once and update the state for each character.

Use a map or array if you need fast lookups.

Steps:

  • Iterate through characters.
  • Maintain necessary state.
  • Build or validate the output.

Example

Input: moves = "L_RL__R" Output: 3 Explanation: The furthest point we can reach from the origin 0 is point -3 through the following sequence of moves "LLRLLLR".

Python Solution

class Solution: def furthestDistanceFromOrigin(self, moves: str) -> int: return abs(moves.count("L") - moves.count("R")) + moves.count("_")

Complexity

The time complexity is O(n)O(n)O(n), where nnn is the length of the string. The space complexity is O(1)O(1)O(1).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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