This one takes the desired total and/or the list of denominations on the command line and shows all possible combinations:
#!/usr/bin/perl -w
use strict;
use Algorithm::Loops qw(
NestedLoops MapCarMin );
my @sum= shift || 100;
my @size= ( 100, 50, 20, 10, 5 );
@size= @ARGV if @ARGV;
my $tries= 0;
my $iter= NestedLoops(
[ ( sub {
my $n= $sum[@_]/$size[@_];
! $n ? [] :
@_ < $#size ? [ 0 .. $n ]
: [ $n .. int $n ];
} ) x @size ],
{
OnlyWhen => sub {
$tries++;
not $sum[@_]=
$sum[$#_] - $_[-1]*$size[$#_];
},
},
);
my @cnt;
my $seq= 0;
while( @cnt= $iter->() ) {
printf "%d) %s\n", ++$seq, join ' + ',
MapCarMin {
!$_[0] ? () : join '*', @_
} \@cnt, \@size;
}
print "($tries tries)\n";
And here's a sample run:
> perl change.pl 103 100 33 10 3 | more
1) 1*10 + 31*3
2) 4*10 + 21*3
3) 7*10 + 11*3
4) 10*10 + 1*3
5) 1*33 + 1*10 + 20*3
6) 1*33 + 4*10 + 10*3
7) 1*33 + 7*10
8) 2*33 + 1*10 + 9*3
9) 1*100 + 1*3
(56 tries)
>
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