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Given a Binary tree and a key in the binary tree, find the node right to the given key. If there is no node on right side, then return NULL. Expected time complexity is O(n) where n is the number of nodes in the given binary tree.For example, consider the following Binary Tree. Output for 2 is 6, output for 4 is 5. Output for 10, 6 and 5 is NULL.&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; / &nbsp; &nbsp; &nbsp;\ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2 &nbsp; &nbsp; &nbsp; &nbsp; 6 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; / &nbsp; \ &nbsp; &nbsp; &nbsp; &nbsp; \&nbsp; &nbsp; &nbsp; 8 &nbsp; &nbsp; &nbsp;4 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;5Find next right node of a given key: <a href="https://www.geeksforgeeks.org/find-next-right-node-of-a-given-key/">https://www.geeksforgeeks.org/find-next-right-node-of-a-given-key/</a>

Find next right node of a given key

The idea is to traverse the tree, starting from root. For every node, check if its left subtree is a leaf. If it is, then add it to the result.&nbsp; Following is Another Method to solve the above problem. This solution passes in a sum variable as an accumulator. When a left leaf is encountered, the leaf’s data is added to sum. Time complexity of this method is also O(n). Thanks to Xin Tong (geeksforgeeks userid trent.tong) for suggesting this method.Find sum of all left leaves in a given Binary Tree: <a href="https://www.geeksforgeeks.org/find-sum-left-leaves-given-binary-tree/">https://www.geeksforgeeks.org/find-sum-left-leaves-given-binary-tree/</a>

Find sum of all left leaves in a given Binary Tree

Welcome to the daily solving of our PROBLEM OF THE DAY with Devashish Khare. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Tree but also build up problem-solving skills. Given a Binary Tree and an integer target. Find all the ancestors of the given target. Note: The ancestor&nbsp;of node x is node y, which is at the upper level of node x, and x is directly connected with node y. Consider multiple levels of ancestors to solve this problem. Examples:Input:
&nbsp; &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp;1
&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; / &nbsp; \
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 2 &nbsp; &nbsp; 3
 target = 2
 Output: 1 Explanation: The given target is 2, if we go above the level of node 2, then we find 1 only. Hence the ancestor of node 2 is 1. Problem Link: <a href="https://practice.geeksforgeeks.org/problems/ancestors-in-binary-tree/1">https://practice.geeksforgeeks.org/problems/ancestors-in-binary-tree/1</a>

PROBLEM OF THE DAY : 07/07/2024 | Ancestors in Binary Tree

Welcome to the daily solving of our PROBLEM OF THE DAY with Yash Dwivedi. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Tree but also build up problem-solving skills. Given a Binary Tree, complete the function to populate the next pointer for all nodes. The next pointer for every node should point to the Inorder successor of the node. You do not have to return or print anything. Just make changes in the root node given to you.Note:&nbsp;The node having no inorder successor will be pointed to -1. You don't have to add -1 explicitly, the driver code will take care of this.Examples :Input:
 &nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 10
&nbsp; &nbsp; &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; / &nbsp;\
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 8 &nbsp; 12
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; /
&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 3
 Output: 3-&gt;8 8-&gt;10 10-&gt;12 12-&gt;-1
 Explanation: The inorder of the above tree is : 3 8 10 12. So the next pointer of node 3 is pointing to 8 , next pointer of 8 is pointing to 10 and so on.And next pointer of 12 is pointing to -1 as there is no inorder successor of 12. Problem Link: <a href="https://practice.geeksforgeeks.org/problems/populate-inorder-successor-for-all-nodes/1">https://practice.geeksforgeeks.org/problems/populate-inorder-successor-for-all-nodes/1</a> Solution Link: <a href="https://ide.geeksforgeeks.org/online-cpp14-compiler/dc0b5da4-24ac-4306-8ed2-c975b3716d16">https://ide.geeksforgeeks.org/online-cpp14-compiler/dc0b5da4-24ac-4306-8ed2-c975b3716d16</a>

PROBLEM OF THE DAY : 06/07/2024 | Populate Inorder Successor for all Nodes

Welcome to the daily solving of our PROBLEM OF THE DAY with Yash Dwivedi. We will discuss the entire problem step-by-step and work towards developing an optimized solution. This will not only help you brush up on your concepts of Tree but also build up problem-solving skills. Given a Binary Tree. You need to find and return the vertical width of the tree.Examples: Input :&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 1 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; / &nbsp; &nbsp;\ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;2 &nbsp; &nbsp; &nbsp; &nbsp; 3 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;/ &nbsp; \ &nbsp; &nbsp; &nbsp;/ &nbsp;\ &nbsp; &nbsp; &nbsp; &nbsp; 4 &nbsp; &nbsp; &nbsp; 5 &nbsp;6 &nbsp; &nbsp; 7 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;\ &nbsp; &nbsp; &nbsp;\ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;8 &nbsp; &nbsp; 9 Output: 6 &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; Explanation: The width of a binary tree is
the number of vertical paths in that tree.
 Problem Link: <a href="https://practice.geeksforgeeks.org/problems/vertical-width-of-a-binary-tree/1">https://practice.geeksforgeeks.org/problems/vertical-width-of-a-binary-tree/1</a> Solution Link: <a href="https://ide.geeksforgeeks.org/online-cpp14-compiler/3b573c93-1c3d-482e-a659-2b1118da1400">https://ide.geeksforgeeks.org/online-cpp14-compiler/3b573c93-1c3d-482e-a659-2b1118da1400</a>

PROBLEM OF THE DAY : 05/07/2024 | Vertical Width of a Binary Tree

Explore the fascinating technique of diagonal traversal in binary trees with our comprehensive tutorial. This guide is perfect for computer science students, programmers, and anyone interested in mastering tree traversal methods, which are crucial for various computational problems.In this tutorial, you'll learn:<ul><li>Understanding Diagonal Traversal: Gain a foundational understanding of what diagonal traversal is and why it's useful. In diagonal traversal, nodes are grouped and traversed diagonally from the root to the farthest right child.</li><li>Approach and Strategy:<ul><li>Using a Queue: Learn how to use a queue to facilitate the diagonal traversal of a binary tree. The queue helps in processing nodes level by level while maintaining the diagonal grouping.</li><li>Processing Nodes: Understand how to process each node, pushing its left child into the queue while traversing its right child along the same diagonal until no more nodes are left.</li></ul></li><li>Step-by-Step Code Implementation: Detailed code examples in popular programming languages like Python, Java, or C++. These examples will demonstrate how to implement the queue-based approach to achieve diagonal traversal.</li><li>Complexity Analysis: Discuss the time and space complexities of the solution. The typical approach involves 𝑂(𝑛)O(n) time complexity where 𝑛n is the number of nodes, due to the single traversal of the tree, and space complexity can also be 𝑂(𝑛)O(n) in the worst case due to the storage in the queue.</li><li>Handling Edge Cases: Tips on handling various edge cases such as an empty tree, a tree with only one node, and skewed trees where all nodes are either to the left or right.</li><li>Visual Examples and Diagrams: Include diagrams to visually demonstrate the process of diagonal traversal, helping to clarify the steps involved and the order in which nodes are visited.</li><li>Applications and Real-World Use: Discuss real-world applications of diagonal traversal, such as in image processing, game development, and data compression techniques where similar traversal methods might be beneficial.</li></ul>By the end of this tutorial, you’ll be well-equipped to implement diagonal traversal in binary trees, enhancing your understanding of tree traversal techniques and your problem-solving skills.For a comprehensive guide on diagonal traversal of binary trees, including detailed explanations, code examples, and practical tips, check out our full article at <a href="https://www.geeksforgeeks.org/diagonal-traversal-of-binary-tree/">https://www.geeksforgeeks.org/diagonal-traversal-of-binary-tree/</a>.This tutorial will not only enhance your understanding of binary tree traversals but also prepare you to tackle similar challenges in your software development and algorithmic problem-solving efforts.

Diagonal Traversal of Binary Tree | DSA Problem

Embark on a journey through tree comparison and algorithmic analysis with this insightful guide from GeeksforGeeks. In this illuminating article, you'll explore the task of determining if two trees are identical—an essential problem in data structures with applications in tree validation, algorithmic design, and software testing.Discover the principles behind tree traversal and comparison techniques, and learn strategies for efficiently comparing trees to ascertain their identity. Whether you're a programmer optimizing algorithms or a software engineer validating tree structures, mastering the art of tree comparison is crucial for solving a wide range of computational challenges.Prepare to delve into the world of tree algorithms and algorithmic strategies as you explore detailed explanations and practical examples provided in the article. Unlock the mysteries of tree identity comparison by delving into the accompanying guide on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/write-c-code-to-determine-if-two-trees-are-identical/">https://www.geeksforgeeks.org/write-c-code-to-determine-if-two-trees-are-identical/</a>

Determine if Two Trees are Identical | DSA Problem

Embark on a journey through binary search trees (BSTs) and algorithmic analysis with this insightful guide from GeeksforGeeks. In this illuminating article, you'll explore the task of counting pairs from two BSTs whose sum is equal to a given value 'x'—an essential problem in data structures with applications in search algorithms, tree traversal, and optimization.Discover the principles behind BST traversal and learn techniques for efficiently counting pairs with the desired sum. Whether you're a programmer optimizing algorithms or a data scientist analyzing tree structures, mastering the art of binary search trees is crucial for solving a wide range of computational challenges.Prepare to delve into the world of tree algorithms and algorithmic strategies as you explore detailed explanations and practical examples provided in the article. Unlock the mysteries of BST traversal by delving into the accompanying guide on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/count-pairs-from-two-bsts-whose-sum-is-equal-to-a-given-value-x/">https://www.geeksforgeeks.org/count-pairs-from-two-bsts-whose-sum-is-equal-to-a-given-value-x/</a>

Brothers From Different Roots | DSA Problem

Embark on a journey through the world of array manipulation with this comprehensive guide from GeeksforGeeks on finding the element that appears in an array where every other element appears twice. In this illuminating article, you'll explore essential concepts and algorithms for efficiently identifying the unique element in a collection of pairs, a critical skill for various applications such as data deduplication and error detection.Discover the principles behind finding the unique element as you delve into various approaches and techniques for analyzing array elements. Whether you're a coding enthusiast or a seasoned developer, mastering the art of efficiently identifying the unique element is essential for optimizing computational resources and solving real-world problems.Prepare to elevate your problem-solving skills and algorithmic proficiency as you explore detailed explanations and practical examples for determining the element that appears only once in an array. Unlock the full potential of array manipulation in your projects by delving into the accompanying article on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/find-element-appears-array-every-element-appears-twice/">https://www.geeksforgeeks.org/find-element-appears-array-every-element-appears-twice/</a>

Party of Couples | DSA Problem

Embark on a journey through the world of bitwise operations with this comprehensive guide from GeeksforGeeks on finding the maximum subset XOR of a given set. In this illuminating article, you'll explore essential concepts and algorithms for efficiently identifying the subset with the highest XOR value, a critical skill for various applications such as cryptography, data encryption, and algorithm optimization.Discover the principles behind finding the maximum subset XOR as you delve into various approaches and techniques for analyzing set elements. Whether you're a coding enthusiast or a seasoned developer, mastering the art of bitwise manipulation is essential for optimizing computational resources and solving complex problems.Prepare to elevate your problem-solving skills and algorithmic proficiency as you explore detailed explanations and practical examples for determining the maximum subset XOR. Unlock the full potential of bitwise operations in your projects by delving into the accompanying article on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/find-maximum-subset-xor-given-set/">https://www.geeksforgeeks.org/find-maximum-subset-xor-given-set/</a>

Maximum subset XOR | DSA Problem

Embark on a comprehensive exploration of power sets with this insightful guide from GeeksforGeeks. In this illuminating article, you'll delve into the fundamental concepts and algorithms for generating power sets of a given set, a crucial skill for various applications such as combinatorics, subset enumeration, and algorithm design.Discover the principles behind power sets as you explore algorithms such as recursive and iterative approaches for efficiently generating all possible subsets of a set. Whether you're a coding enthusiast or a seasoned developer, mastering the concept of power sets is essential for solving a wide range of problems involving combinations and permutations.Prepare to elevate your problem-solving skills and algorithmic proficiency as you delve into detailed explanations and practical examples for generating power sets. Unlock the full potential of set manipulation in your projects by exploring the accompanying article on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/power-set/">https://www.geeksforgeeks.org/power-set/</a>

Power Set | DSA Problem

Embark on a comprehensive exploration of strongly connected components with this insightful guide from GeeksforGeeks. In this illuminating article, you'll delve into the fundamental concepts and algorithms for identifying and understanding strongly connected components within directed graphs, a crucial skill for analyzing complex networks and dependencies.Discover the principles behind strongly connected components as you explore algorithms such as Tarjan's and Kosaraju's algorithms. Whether you're a coding enthusiast or a seasoned developer, mastering the concept of strongly connected components is essential for efficiently solving graph-related problems and understanding the structure of directed graphs.Prepare to elevate your problem-solving skills and algorithmic proficiency as you delve into detailed explanations and practical examples for identifying strongly connected components. Unlock the full potential of graph analysis in your projects by exploring the accompanying article on GeeksforGeeks: <a href="https://www.geeksforgeeks.org/strongly-connected-components/">https://www.geeksforgeeks.org/strongly-connected-components/</a>

Strongly Connected Components (Kosaraju's Algo) | DSA Problem