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What you have done is cat'ing all files into 1, but the number of input files is a variable and can be anything from 4 to 15 and number of files to be merged/cat'ed is also variable.

If...

Sorry if I wasn't clear. I have a set of input files ranging anywhere from 4 to 15
Input File: File 1,File2 ....File 15

I need to merge/cat these input files into fewer number of files.

For...

Can anyone please let me know how do I reduce files into a specific number of files by cat'ing files?

For example:

15 files must be reduced to 1 or 5 or 9 (possible values 1 to 14)