PT07Z - Longest path in a tree

You are given an unweighted, undirected tree. Write a program to output the length of the longest path (from one node to another) in that tree. The length of a path in this case is number of edges we traverse from source to destination.

Input

The first line of the input file contains one integer N --- number of nodes in the tree (0 < N <= 10000). Next N-1 lines contain N-1 edges of that tree --- Each line contains a pair (u, v) means there is an edge between node u and node v (1 <= u, v <= N).

Output

Print the length of the longest path on one line.

Example

Input:
3
1 2
2 3

Output:
2

Added by:Thanh-Vy Hua
Date:2007-03-28
Time limit:0.5s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Co-author Amber

hide comments
2021-04-09 21:24:19
@wiseman_123 - How can you say that space is O(1)
What about visited array and adjacency list ?
2021-02-24 19:19:39
time - O(N).
Space - O(1).
2020-12-30 13:17:44
AC in one GO
double BFS (0.01s) :)

Last edit: 2020-12-30 13:18:06
2020-09-22 10:12:46
just use the diameter of a tree concept. you're good to go then!
2020-09-11 17:49:08
this is a problem of ....finding diameter of tree
2020-08-02 22:56:09
AC in one go, dp on trees.
2020-07-07 15:56:58
Run dfs/bfs two times , in the first run find the farthest vertex from vert 1, and the again run dfs from that vertex(farthest) and calculate the longest path.
2020-06-25 13:37:47
AC in one go. Remember what constitutes the longest path:
1. One more than the longest path below the node
2. largest ever = max("two long paths below the node", largest ever)
2020-06-22 20:37:33
Do not print a new line at the end of the ans.
2020-06-22 20:35:21
I am getting wrong answer on my code. I call bfs for each node. and take the maximum depth.
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