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my @sorted_files_Test_flat_file_write_over_name_only =
   map  { $_->[0] }
   sort { $a->[1] <=> $b->[1] or $a->[0] cmp $b->[0] }
   map  { [ $_,  (stat)[9] ] }  
   @files_Test_flat_file_write_over_name_only;

my @sorted_files_Test_flat_file_write_over_name_only =
   map  { substr($_, 11) }
   sort
   map  { sprintf('%011d%s', (stat)[9], $_) }  
   @files_Test_flat_file_write_over_name_only;