Regardless of the rewrites suggested, did you do something as simple as putting in
print statements to see if the code was doing what you thought it was doing?
For example, my understanding is that $a and $b are magic variables used by sort. Did you ever print out what the routine received in those variables?
A better coding style might be to pass those two values as parameters to the subroutine, and to store the result of the tests in a variable that would be passed in a return statement. Then you could display the returned value as well as the parameters, $h_a, $mn_a, etc.
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