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In a binary tree, what is the minimum number of nodes required to have a height
In a binary tree, what is the minimum number of nodes required to have a height of h?
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Q1
In a binary tree, what is the minimum number of nodes required to have a height of h?
h
h + 1
2^h
2^(h+1) - 1
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The minimum number of nodes required to have a height of h in a binary tree is h, which occurs in a skewed tree.
Questions & Step-by-step Solutions
1 item
Q
Q: In a binary tree, what is the minimum number of nodes required to have a height of h?
Solution:
The minimum number of nodes required to have a height of h in a binary tree is h, which occurs in a skewed tree.
Steps: 5
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Step 1: Understand what a binary tree is. A binary tree is a tree data structure where each node has at most two children.
Step 2: Know what height means. The height of a binary tree is the number of edges on the longest path from the root node to a leaf node.
Step 3: Realize that a skewed tree is a type of binary tree where all nodes are either to the left or to the right, forming a straight line.
Step 4: For a binary tree to have a height of h, it can be formed by having h nodes in a straight line (skewed tree).
Step 5: Therefore, the minimum number of nodes required to achieve a height of h is exactly h.
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