In a complete binary tree if the number of nodes is 1000000. What will be the heightof complete binary tree.
Question
In a complete binary tree if the number of nodes is 1000000. What will be the heightof complete binary tree.
Solution
The height of a complete binary tree can be calculated using the formula:
Height = log2(N+1)
where N is the number of nodes in the tree.
So, for a tree with 1,000,000 nodes:
Height = log2(1,000,000 + 1)
To calculate the logarithm base 2 of a number, you can use a calculator or a mathematical software.
After calculating, you will get a decimal number. Since the height of a tree must be an integer, you should round up this number to the nearest whole number. This is because even one extra node would increase the height of the tree by 1.
So, the height of a complete binary tree with 1,000,000 nodes is the rounded up value of log2(1,000,000 + 1).
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