LogiQuest

279. Shortest Path (Unweighted)

EasyBFS

Print the length of the shortest path (number of edges) from node 1 to node n in an undirected graph, or -1 if unreachable.

Input format

Line 1: n m Next m lines: u v

Output format

The distance, or -1.

Example 1

Input

5 5
1 2
2 3
3 5
1 4
4 5

Output

2

Example 2

Input

3 1
1 2

Output

-1

Constraints

2 ≤ n ≤ 10⁵ 0 ≤ m ≤ 2 × 10⁵

Read input from standard input and print the answer to standard output. Your code is judged against 5 test cases, most of them hidden.

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