BFS: Min Distance to Every Vertex in Swift

Given an unweighted undirected graph with n vertices (labeled 0 to n-1) and a list of edges where edges[i] = [u, v], find the minimum distance (number of edges) from vertex 0 to every other vertex using BFS.

Return an array dist of length n where dist[i] is the minimum distance from vertex 0 to vertex i. Use -1 if a vertex is unreachable.

Example

Input: n = 5, edges = [[0,1],[0,2],[1,3],[2,4]]
Output: [0, 1, 1, 2, 2]
Explanation:
- 0 → 0: distance 0
- 0 → 1: distance 1
- 0 → 2: distance 1
- 0 → 1 → 3: distance 2
- 0 → 2 → 4: distance 2

Constraints

• 2 <= n <= 1000
• 1 <= edges.length <= 5000
• 0 <= u, v < n
• No self-loops or duplicate edges.