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Programming and Data Structures Test 5

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Programming and Data Structures Test 5
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  • Question 1
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    Consider a binary search tree consisting of 127 nodes. The height of the binary search tree with one node is 0. If maximum and minimum possible heights of the binary search tree is H and h then which of the following is/are true?
    Solution

    If n is number of nodes and h is minimum height of in a binary search tree, then

    2h+1 – 1 = n

    2h+1 – 1 = 127

    2h+1 = 128

    2h+1 = 26+1

    ∴ h = 6

    If n is number of nodes and H is maximum height of in a binary search tree, then

    H = n – 1

    H = 127 -1

    ∴ H = 126

    h×H =  756

    | h – H | = 120

    H ÷ h = 21

     h + H  = 132

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