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Solution: Shortest Path Visiting All Nodes

Explore how to solve the shortest path problem that requires visiting all nodes in a connected undirected graph. Learn to apply breadth-first search combined with bitmasking to represent visited nodes, enabling efficient state tracking and ensuring the shortest route is found even with revisiting nodes.

Statement

You are given an undirected connected graph with n nodes numbered from 00 to n1n-1. The graph is provided as an adjacency list, graph, where graph[i] contains all nodes that share an edge with node i.

Your task is to find the length of the shortest path that visits every node. You may:

  • Start from any node.

  • End at any node.

  • Revisit nodes and reuse edges as many times as needed.

Constraints:

  • n ==== graph.length

  • 11 \leq n 12\leq 12 ...