# Binary Tree Longest Consecutive Sequence

Binary Tree Longest Consecutive Sequence

Given a binary tree, find the length of the longest consecutive sequence path.

The path refers to any sequence of nodes from some starting node to any node in the tree along the parent-child connections. The longest consecutive path need to be from parent to child (cannot be the reverse).

For example,

``````   1
\
3
/ \
2   4
\
5
``````

Longest consecutive sequence path is 3-4-5, so return 3.

``````   2
\
3
/
2
/
1
``````

Longest consecutive sequence path is 2-3,not3-2-1, so return 2.

``````/**
* Definition for a binary tree node.
* public class TreeNode {
*     int val;
*     TreeNode left;
*     TreeNode right;
*     TreeNode(int x) { val = x; }
* }
*/
public class Solution {
public int longestConsecutive(TreeNode root) {
return longestConsecutive(root, null, 0);
}

private int longestConsecutive(TreeNode node, TreeNode parent, int length) {
if (node == null) {
return length;
}

if (parent != null && node.val == parent.val + 1) {
length = length + 1;
} else {
length = 1;
}

return Math.max(length, Math.max(longestConsecutive(node.left, node, length),
longestConsecutive(node.right, node, length)));
}
}
``````

Hope this helps,
Michael