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3 years ago

What is the height of the tallest possible red-black tree containing 31 values?

Computers and Technology

1 answer:

elena55 [62]3 years ago

6 0

Answer:

The height of tallest possible red-black tree having 31 values is 10.

Explanation:

The height of tallest possible red-black tree = 2㏒₂(n+1)

here we have n=31 So substituting the value of n in the equation.

=2㏒₂(31+1)

=2㏒₂(32)

=2㏒₂(2⁵) since ㏒(aⁿ)=n㏒(a)

=2x5㏒₂(2)

=10㏒₂(2) since ㏒ₙ(n)=1.

=10.

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