Table of Contents
- 1 What is the maximum number of nodes that a binary tree can have at level 3?
- 2 What is the maximum number of nodes on level i of a binary tree assume that level of root is 1?
- 3 What is the maximum and minimum number of nodes on level L of a binary tree?
- 4 What is a max binary tree?
- 5 What are the rules of binary tree and BST?
- 6 How do you find the level of a binary tree?
What is the maximum number of nodes that a binary tree can have at level 3?
8 nodes
level 3: In this level, the binary tree has maximum 8 nodes which are the child of level 2 nodes.
What is the maximum number of nodes on level i of a binary tree assume that level of root is 1?
The answer should be 2^i-1 i.e. option (a).
What is the maximum height of a binary tree?
n-1
Detailed Solution Concept: In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1.
What is the maximum number of nodes in a binary tree?
2l-1
1) The maximum number of nodes at level ‘l’ of a binary tree is 2l-1. Here level is number of nodes on path from root to the node (including root and node). Level of root is 1. This can be proved by induction.
What is the maximum and minimum number of nodes on level L of a binary tree?
1) The maximum number of nodes at level ‘l’ of a binary tree is 2l. Here level is the number of nodes on the path from the root to the node (including root and node). Level of the root is 0. This can be proved by induction.
What is a max binary tree?
Maximum Binary Tree in C++ The root will hold the maximum number in the array. The left subtree is the maximum tree constructed from left side of the subarray divided by the maximum number. The right subtree is the maximum tree constructed from right side of subarray divided by the maximum number.
What is level of binary tree?
Let’s understand what a level in a Binary Tree means. A level is the number of parent nodes corresponding to a given a node of the tree. It is basically the number of ancestors from that node until the root node. So, for the root node (topmost node), it’s level is 0, since it has no parents.
What is the minimum number of nodes in a binary search tree?
If binary search tree has height h, minimum number of nodes is h+1 (in case of left skewed and right skewed binary search tree). If binary search tree has height h, maximum number of nodes will be when all levels are completely full.
In a binary tree, a node can have maximum two children. If there are n nodes in binary tree, maximum height of the binary tree is n-1 and minimum height is floor (log2n). For example, left skewed binary tree shown in Figure 1 (a) with 5 nodes has height 5-1 = 4 and binary tree shown in Figure 1 (b) with 5 nodes has height floor (log25) = 2.
What are the rules of binary tree and BST?
All the rules in BST are same as in binary tree and can be visualized in the same way. Que-1. The height of a tree is the length of the longest root-to-leaf path in it. The maximum and the minimum number of nodes in a binary tree of height 5 are: max number of nodes = 2^ (h+1)-1 = 2^6-1 =63.
How do you find the level of a binary tree?
To calculate the level of a binary tree, we can traverse the tree level-by-level. We start with the root node as level 0. Then we visit every node on a level before going to another level. For example, the level-by-level traversal sequence of the above example tree is 1, 2, 3, 4, 5.