Solution: Shortest Path Visiting All Nodes

Statement

You are given an undirected connected graph with n nodes numbered from $0$ to $n-1$. 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

• $1 \leq$ n $\leq 12$

• $0 \leq$ graph[i].length $<$ ...