Cousins in Binary Tree

Posted by Bill on March 11, 2023

Cousins in Binary Tree

In a binary tree, the root node is at depth 0, and children of each depth k node are at depth k+1.

Two nodes of a binary tree are cousins if they have the same depth, but have different parents.

We are given the root of a binary tree with unique values, and the values x and y of two different nodes in the tree.

Return true if and only if the nodes corresponding to the values x and y are cousins.

Example 1:

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Input: root = [1,2,3,4], x = 4, y = 3
Output: false

Example 2:

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Input: root = [1,2,3,null,4,null,5], x = 5, y = 4
Output: true

Example 3:

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Input: root = [1,2,3,null,4], x = 2, y = 3
Output: false

Note:

The number of nodes in the tree will be between 2 and 100. Each node has a unique integer value from 1 to 100.

Java Solution:

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/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode(int x) { val = x; }
 * }
 */
class Solution {
    public boolean isCousins(TreeNode root, int x, int y) {
        TreeNode ParentFirst = getParentWithChild(root, x);
        TreeNode ParentSecond = getParentWithChild(root, y);

        if(ParentFirst == null || ParentSecond == null){
            return false;
        }

        if((ParentFirst.val != ParentSecond.val) &&
                getDepth(root,ParentFirst) == getDepth(root,ParentSecond)){
            return true;
        }
        else{
            return false;
        }
    }

    int getDepth(TreeNode root,TreeNode target){
        if(root == null){
            return -1;
        }
        if(root.val == target.val){
            return 0;
        }
        int leftDepth = getDepth(root.left,target);
        int righttDepth = getDepth(root.right,target);
        if(leftDepth != -1){
            return leftDepth + 1;
        }
        if(righttDepth != -1){
            return righttDepth + 1;
        }
        return -1;
    }


    TreeNode getParentWithChild(TreeNode root, int x){
        if(root == null){ return null;}
        if((root.left != null && root.left.val == x) ||
                (root.right!= null && root.right.val == x)){
            return root;
        }
        TreeNode left = getParentWithChild(root.left,x);
        TreeNode right = getParentWithChild(root.right,x);
        if(left != null){
            return left;
        }
        if(right != null){
            return right;
        }
        return null;
    }
}