(This is an algorithm design question) The explanation below is for deriving the
ID: 3802229 • Letter: #
Question
(This is an algorithm design question)
The explanation below is for deriving the complexity of a closest pair algorithm using clever sorting algorithms exist that run in O(n log n).
Closest pair – Given a set of n numbers, how do you find the pair of numbers that have the smallest difference between them? Once the numbers are sorted, the closest pair of numbers must lie next to each other somewhere in sorted order. Thus, a linear-time scan through them completes the job, for a total of O(n log n) time including the sorting.
Would appreciate beginner explanation for this result and derivation.
Thank You
f+0(g) = 0(f + g)Explanation / Answer
f+O(g) = O(f+g)
f=nlog(n)
O(g) = O(n)
n*log(n)+n O(nlog(n)
Thus O(n*log(n)+n) O(nlog(n).
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