Question

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

Answer 1

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.