time complexity - sorting a file containing huge amount of data -


consider file containing n words 1 word per line.the file big whole of connot read in memory @ 1 time.
ans: divide file k chunks.so size of each chunk x = n/k
read 1 chunk memory @ time , sort , write file.sort k chunks.
k way merge.
analying total time complexity. how can it?
time sorting each chunk = xlogx (assuming use quick sort)
time merging k chunks = klogk (is it??)
total time complexity =??
week @ analying time complexity

each chunk of size n/k , number of chunks k.

so, total time complexity

reading of n/k chunks + sorting each of chunks i.e., o( n/k klogk) + merging each [part] of k chunks o( nk ) + file writing.

so, io time + o(nlogk)

i learning these things too...so great if can analyze , correct me if im wrong here..

-pavan.


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