LCA of Binary Tree Problem Statement
You are given a binary tree consisting of distinct integers and two nodes, X
and Y
. Your task is to find and return the Lowest Common Ancestor (LCA) of these two nodes.
The LCA of X
and Y
is defined as the farthest node from the root that is a shared ancestor of both X
and Y
.
Note:
You can assume that the nodes X
and Y
exist in the given binary tree.
Example:
Input Format:
The first line contains an integer 'T', the number of test cases to run. For each test case: The subsequent line contains the tree's nodes in level order, with node values separated by spaces. Use -1 to denote null nodes. The second line contains two integers, 'X' and 'Y', representing the nodes for which you need to find the LCA.
Example Tree Representation:
Example input for this tree: 1 2 3 4 -1 5 6 -1 7 -1 -1 -1 -1 -1 -1
Output Format:
For each test case, output the value of the LCA node of the given two nodes in the binary tree. Print the output on a new line for each test case.
Constraints:
1 <= T <= 100
0 <= N <= 3000
, where N is the number of nodes in the binary tree.0 <= DATA <= 10^4
, where DATA is a node value.- Time Limit: 1 second
Note:
The explanation provided earlier describes how the input is structured for the tree. In the actual input, the nodes are given in a single line, separated by spaces.
AnswerBot
1d
Find the Lowest Common Ancestor (LCA) of two nodes in a binary tree.
Traverse the binary tree to find the paths from the root to each node, then compare the paths to find the LCA.
Use recursion to trave...read more
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