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.

Solution

/**
 * 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) {
        Result result = get(root);
        return Math.max(result.include, result.nonInclude);
    }

    private Result get(TreeNode root) {
        if (root == null) return new Result(0, 0);
        Result leftResult = get(root.left);
        Result rightResult = get(root.right);

        int nonInclude = Math.max(Math.max(Math.max(leftResult.include, rightResult.include), leftResult.nonInclude), rightResult.nonInclude);
        int include = 1;
        if (root.left != null && root.val + 1 == root.left.val) {
            include = Math.max(include, leftResult.include + 1);
        }

        if (root.right != null && root.val + 1 == root.right.val) {
            include = Math.max(include, rightResult.include + 1);
        }

        return new Result(include, nonInclude);
    }

    private class Result {
        int include;
        int nonInclude;

        public Result(int include, int nonInclude) {
            this.include = include;
            this.nonInclude = nonInclude;
        }
    }
}

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