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Topic: Order of Bucket Sort (Read 612 times) |
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nks
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Order of Bucket Sort
« on: Jan 26th, 2009, 10:53pm » |
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How the order of bucket sort is O(N+n)?
As it has to sort the element in every bucket is O(Nlog(N)).
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towr
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Re: Order of Bucket Sort
« Reply #1 on: Jan 27th, 2009, 2:42am » |
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on Jan 26th, 2009, 10:53pm, nks wrote:How the order of bucket sort is O(N+n)?
As it has to sort the element in every bucket is O(Nlog(N)). |
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But the number of buckets depends on N, the base of the logarithm is N (rather than the usual 2), so you get O(N logN N) = O(n)
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nks
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Re: Order of Bucket Sort
« Reply #2 on: Jan 28th, 2009, 2:14am » |
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Quote:| number of buckets depends on N |
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That's correct .
It is like
Here n1+n2+n3+.. = N
so
n1log n1 +n1log n1 +..~= N ( it will approach to N)
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nks
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Re: Order of Bucket Sort
« Reply #3 on: Jan 28th, 2009, 2:15am » |
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Corrected !
n1log n1 +n2log n2 +..~= N ( it will approach to N)
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