Yes, you could. I realized that, but didn't present it,
because it's neither efficient memory wise (as you
are processing all the file names at the same time), nor
is it run-time efficient, as you are sorting all the file
names, and that's Omega (N log N). The solution where you
keep a sorted buffer takes linear time.
If you want to factor in the amount of files (let's say k) to be reported,
the solution you present takes O (N log N + k), while my
solution takes O (k N). If you replace the array with a
heap, you can reduce that to O (k + N log k). The used
memory in your solution is O (N), and O (k) in my solution.
All mentioned upperbounds are tight.
Abigail
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