Step 15: Graphs [Concepts & Problems]›Shortest Path Algorithms and Problems
Shortest Distance in a Binary Maze
HardFunction: shortestDistanceInABinaryMaze()
ASCI Mission Breakdown • Simple as Hell
"Master Shortest Distance in a Binary Maze: Take `nums` (number[]) and `target` (number), execute an optimal shortest path algorithms and problems strategy, and return number with clean edge-case handling."
Real-World Metaphor:
Think of Shortest Distance in a Binary Maze as an everyday real-world challenge: you receive input data, inspect its elements in sequence without making unnecessary duplicate passes, and transform the collection to reach the exact target without wasting computer memory.
Interactive Visual WalkthroughFLOW-DIAGRAM
Step 1 / 3
StatusInitialized
ModeScanning
Evaluating
1. Initialize State for Shortest Distance in a Binary Maze
Load inputs and initialize algorithmic registers.
How to Think About This (Mental Model)
Unpack the problem parameters (`nums` (number[]) and `target` (number)) and clarify what is given vs what must be returned.
Identify the optimal data structure or pattern (e.g. pointers, hash map, or stack) to avoid redundant recalculations.
Walk through state transitions, handle edge cases (empty collections, single items, negative numbers), and return the verified result.
Given a sorted array of integers `nums` and an integer `target`, find the index or answer corresponding to **Shortest Distance in a Binary Maze**.
Your solution must achieve logarithmic runtime complexity `O(log N)`.
Examples
Example 1
Input: nums = [1,3,5,6], target = 5
Output: 2
Explanation: 5 is found at index 2.
Example 2
Input: nums = [1,3,5,6], target = 2
Output: -1
Explanation: 2 is not present in the array.
Constraints
1 <= nums.length <= 10^5
-10^9 <= nums[i], target <= 10^9
Topic Tags:
Graphs [Concepts & Problems]Shortest Path Algorithms and ProblemsshortestDistanceInABinaryMaze