> For the complete documentation index, see [llms.txt](https://trizen.gitbook.io/perl6-rosettacode/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://trizen.gitbook.io/perl6-rosettacode/programming_tasks/f/find_minimum_number_of_coins_that_make_a_given_value.md).

# Find minimum number of coins that make a given value

Since unit denominations are possible, don't bother to check to see if an exact pay-out isn't possible.

```perl
my @denominations = 200, 100, 50, 20, 10, 5, 2, 1;

sub change (Int $n is copy where * >= 0) { gather for @denominations { take $n div $_; $n %= $_ } }

for 988, 1307, 37511, 0 -> $amount {
    say "\n$amount:";
    printf "%d × %d\n", |$_ for $amount.&change Z @denominations;
}
```

#### Output:

```
988:
4 × 200
1 × 100
1 × 50
1 × 20
1 × 10
1 × 5
1 × 2
1 × 1

1307:
6 × 200
1 × 100
0 × 50
0 × 20
0 × 10
1 × 5
1 × 2
0 × 1

37511:
187 × 200
1 × 100
0 × 50
0 × 20
1 × 10
0 × 5
0 × 2
1 × 1

0:
0 × 200
0 × 100
0 × 50
0 × 20
0 × 10
0 × 5
0 × 2
0 × 1
```