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How do you sum all nodes in a binary tree?
It checks whether the root is null, which means that the tree is empty. If the tree is not empty, traverse through left subtree, calculate the sum of nodes and store it in sumLeft. Then, traverse through the right subtree, calculate the sum of nodes and store it in sumRight. Finally, calculate total sum = temp.
How do you find the depth of a node in a binary tree?
The depth of a node in a binary tree is the length of the path from the root of the tree to that node. That is, the root has depth 0, its children have depth 1, its grandchildren have depth 2, and so on. In a balanced tree, all the leaves in the tree are about the same depth.
How many nodes are in a binary tree of depth?
in a complete binary tree, the number of nodes at depth d is 2d. Proof: there are 20 nodes at depth 0. if there are 2d nodes at depth d, then there are 2d+1 nodes at depth d+1….Special Case: Binary Trees.
| Operation | Array | Linked |
|---|---|---|
| root, parent, children, left, right | O(1) | O(1) |
| hasLeft/Right, isInternal, isRoot | O(1) | O(1) |
| insert | O(n) | O(1) |
What is the difference between height and depth of a tree?
The depth of a node is the number of edges from the node to the tree’s root node. A root node will have a depth of 0. The height of a node is the number of edges on the longest path from the node to a leaf. A leaf node will have a height of 0.
What is the minimum and maximum number of nodes at depth d in a perfect binary tree?
The number of nodes at depth d in a perfect binary tree = 2.
How many nodes are needed to form a full binary tree?
Minimum number of nodes in a binary tree whose height is h. At least one node at each of first h levels. All possible nodes at first h levels are present. A full binary tree of a given height h has 2h – 1 nodes.
How to find the height of a node in a binary tree?
Given a binary tree, find the sum of heights of all individual nodes in the tree. For this tree: 1). Height of Node 1 – 3 2). Height of Node 2 – 2 3). Height of Node 3 – 1 4). Height of Node 4 – 1 5).
How to find sum of leaves in binary tree?
BFS Approach: We can do BFS traversal and keep a separate variable for denoting if it is a left child or right child of a node. As soon as we encounter a leaf, we check if it is a left child of its parent or right child of its parent. If it is a left child, we add its value in the sum.
How to calculate sum of nodes with even-valued grandparent?
Given a binary tree, return the sum of values of nodes with even-valued grandparent. (A grandparent of a node is the parent of its parent, if it exists.) If there are no nodes with an even-valued grandparent, return 0.
How to calculate the value of a node?
The number of nodes in the tree is between 1 and 10^4. The value of nodes is between 1 and 100. Traverse the tree keeping the parent and the grandparent. If the grandparent of the current node is even-valued, add the value of this node to the answer.