Pseudo-Palindromic Paths in a Binary Tree | 2 Ways | Bit Magic | Leetcode 1457
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This is the 38th Video of our Playlist "Binary Tree : Popular Interview Problems".
In this video we will try to solve a very good Binary Tree problem - Pseudo-Palindromic Paths in a Binary Tree (Leetcode 1457)
I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.
Problem Name : Pseudo-Palindromic Paths in a Binary Tree (Leetcode 1457)
Company Tags : AMAZON
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Interview_DS_Algo/blob/master/Tree/Pseudo-Palindromic%20Paths%20in%20a%20Binary%20Tree.cpp
Leetcode Link : https://leetcode.com/problems/pseudo-palindromic-paths-in-a-binary-tree/
My DP Concepts Playlist : https://youtu.be/7eLMOE1jnls
My Graph Concepts Playlist : https://youtu.be/5JGiZnr6B5w
My GitHub Repo for interview preparation : https://github.com/MAZHARMIK/Interview_DS_Algo
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Approach-1 Summary : The approach involves a recursive depth-first search (DFS) function called solve that traverses the tree while maintaining a temporary vector (temp) to count the occurrences of each node value. For each node encountered during the DFS, the corresponding value in the temp vector is incremented. When a leaf node is reached, the algorithm checks whether the frequency of each value in temp is such that at most one value has an odd frequency. If this condition is met, the global variable result is incremented, signifying the discovery of a pseudo-palindromic path. The DFS continues to explore the left and right subtrees, updating the temp vector accordingly. The count for the current node is decremented before backtracking to the parent node, ensuring correct frequency tracking. The main function pseudoPalindromicPaths initializes the temp vector and calls the solve function to traverse the tree. Finally, it returns the total count of pseudo-palindromic paths stored in the global variable result. The approach essentially leverages DFS and a frequency tracking vector to identify and count pseudo-palindromic paths in the binary tree.
Approach-2 Summary : The approach involves a recursive depth-first search (DFS) function called solve that traverses the tree while maintaining a temporary variable (temp) to keep track of the XOR combination of encountered node values. For each node encountered during the DFS, the value in temp is updated using a bitwise XOR operation with the binary representation of the current node's value. When a leaf node is reached, the algorithm checks whether the bitwise AND operation between temp and (temp - 1) equals 0. This check ensures that there is at most one set bit in the binary representation of temp, indicating a pseudo-palindromic path. If the condition is met, the global variable result is incremented, signifying the discovery of a pseudo-palindromic path. The DFS continues to explore the left and right subtrees, updating the temp variable accordingly. The main function pseudoPalindromicPaths initializes the temp variable to 0 and calls the solve function to traverse the tree. Finally, it returns the total count of pseudo-palindromic paths stored in the global variable result. This approach utilizes bitwise XOR and AND operations to efficiently track the occurrence of node values and identify pseudo-palindromic paths in the binary tree. The use of XOR helps toggle the bits representing the occurrence of node values, and the bitwise AND operation is employed to check the pseudo-palindromic property.
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✨ Timelines✨
00:00 - Introduction
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