Check for Children Sum Property in a Binary Tree
Children Sum Property in a Binary Tree
As an Input We are Given a tree and we have to Check for Children Sum Property in a Binary Tree. Whether that property if followed in an entire tree or not.
Note:- Deviation of even single Node from above property will result in a negative answer.
Check for Children Sum Property in a Binary Tree
Children-Sum Property:-This property says that for each node sum of its left and right children should be equal to node value.
Also, following assumptions are to be kept in mind while recursively traversing tree
- A leaf node satisfies children sum property because leaf nodes don’t have any child nodes.
An Empty tree satisfies Children sum property.
Algorithm
Step1:– Traverse the tree.
Step 2:– For every node in tree check whether the value in root node equals the sum of it lchild and rchild.
If yes continue from Step 1 Untill root==NULL
If No return false
Code in Java to check Symmetry of Binary Tree
class Node { int data; Node left, right; public Node(int d) { data = d; left = right = null; } } class BinaryTree { Node root; /* returns 1 if children sum property holds for the given node and both of its children*/ int isSumProperty(Node node) { /* left_data is left child data and right_data is for right child data*/ int left_data = 0, right_data = 0; /* If node is NULL or it's a leaf node then return true */ if (node == null || (node.left == null && node.right == null)) return 1; else { /* If left child is not present then 0 is used as data of left child */ if (node.left != null) left_data = node.left.data; /* If right child is not present then 0 is used as data of right child */ if (node.right != null) right_data = node.right.data; /* if the node and both of its children satisfy the property return 1 else 0*/ if ((node.data == left_data + right_data) && (isSumProperty(node.left) != 0) && isSumProperty(node.right) != 0) return 1; else return 0; } } } public class Main1{
/* driver program to test the above functions */
public static void main(String[] args) { BinaryTree tree = new BinaryTree(); tree.root = new Node(10); tree.root.left = new Node(8); tree.root.right = new Node(2); tree.root.left.left = new Node(3); tree.root.left.right = new Node(5); tree.root.right.right = new Node(2); if (tree.isSumProperty(tree.root) != 0) System.out.println("The given tree satisfies children" + " sum property"); else System.out.println("The given tree does not satisfy children" + " sum property"); } }
Output:
The given tree satisfies children sum property
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Introduction to Trees
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- Binary Tree in Data Structures (Introduction)
- Tree Traversals: Inorder Postorder Preorder : C | C++ | Java
- Inorder Postorder PreOrder Traversals Examples
- Tree Traversal without Recursion
Binary Search Trees
Traversals
- Traversal in Trees
- Tree Traversals: Breadth-First Search (BFS) : C | C++ | Java
- Tree Traversals: Depth First Search (DFS) : C | C++ | Java
- Construct a Binary Tree from Postorder and Inorder
B – Trees
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Complete Programs for Trees
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- Level Order Traversal – C | C++ | Java
- Construct Tree from given Inorder and Preorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Inorder traversals – C | C++ | Java
- Construct Tree from given Postorder and Preorder traversal – C | C++ | Java
- Find size of the Binary tree – C | C++ | Java
- Find the height of binary tree – C | C++ | Java
- Find maximum in binary tree – C | C++ | Java
- Check whether two tree are identical- C| C++| Java
- Spiral Order traversal of Tree- C | C++| Java
- Level Order Traversal LIne by Line – C | C++| Java
- Hand shaking lemma and some Impotant Tree Properties.
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