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13 August, 01:06

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

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  1. 13 August, 02:32
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    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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