Binary tree execution time calculation - Programmers Heaven

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# Binary tree execution time calculation

Posts: 2Member
I have this question, that's,

Q1) if 1000 elements in a binary search tree takes one second to search an element, how long it will take for 10,000 elements ?

Big O for binary search tree O(log N). That means 1000 elements, log 1000 (base 2) = 9.96 ~= 10 comparison takes 1 second
For 10,000 element, log 10000 = 13.28 ~= 13 comparison, 13/10 = 1.3 seconds.
It takes 1.3 seconds for 10,000 elements.

Q2) Similarly one million elements binary tree takes one 1 second to search an element how long it take for 10 million elements?