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A2Z Sheet

378. Shortest path in undirected graph with unit weights

Hard
Step 15: Graphs [Concepts & Problems]›Shortest Path Algorithms and Problems

Shortest path in undirected graph with unit weights

HardFunction: shortestPathInUndirectedGraphWithUnitWeights()
ASCI Mission Breakdown • Simple as Hell
"Master Shortest path in undirected graph with unit weights: Take `n` (number) and `edges` (number[][]), execute an optimal shortest path algorithms and problems strategy, and return boolean with clean edge-case handling."
Real-World Metaphor:

Think of Shortest path in undirected graph with unit weights 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 path in undirected graph with unit weights

Load inputs and initialize algorithmic registers.

How to Think About This (Mental Model)

  1. Unpack the problem parameters (`n` (number) and `edges` (number[][])) and clarify what is given vs what must be returned.
  2. Identify the optimal data structure or pattern (e.g. pointers, hash map, or stack) to avoid redundant recalculations.
  3. Walk through state transitions, handle edge cases (empty collections, single items, negative numbers), and return the verified result.

Given `n` nodes and an edge list `edges` representing a network graph, determine the solution for **Shortest path in undirected graph with unit weights**. Identify connected components, cycles, or shortest paths.

Examples

Example 1
Input: n = 4, edges = [[0,1],[1,2],[2,3]]
Output: true

Constraints

  • 1 <= n <= 2000
  • 0 <= edges.length <= 5000
Topic Tags:
Graphs [Concepts & Problems]Shortest Path Algorithms and ProblemsshortestPathInUndirectedGraphWithUnitWeights
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