# ETOOBUSY ðŸš€ minimal blogging for the impatient

# PWC116 - Number Sequence

**TL;DR**

Here we are with TASK #1 from the Perl Weekly Challenge #116. Enjoy!

# The challenge

You are given a number

`$N >= 10`

.Write a script to split the given number such that the difference between two consecutive numbers is always 1 and it shouldnâ€™t have leading 0.

Print the given number if it impossible to split the number.

Example`Input: $N = 1234 Output: 1,2,3,4 Input: $N = 91011 Output: 9,10,11 Input: $N = 10203 Output: 10203 as it is impossible to split satisfying the conditions.`

# The questions

I have to admit that I didnâ€™t get the challenge just by reading it. In
my brain, *split a number* means dividing it into a sum; this time,
though, weâ€™re playing with the ambiguity of considering a number by its
string representation in base 10. As usual, anyway, the examples make an
excellent job of clarifying things.

Itâ€™s also interesting to note that the output value for when there is no
way to *split* the input number is actually a valid number splitting -
one with one single element only. This makes the restriction about
`$N >= 10`

a bit arbitrary but whatever, not counting e.g. that `-101`

would
be a perfect fit. Whatever.

# The solution

We just do a plain search here, starting with the first character, then two, etc. up to one half of the string representation. Anything beyond would not be a good division and can be skipped.

One of the examples is a blessing: `91011`

. It makes it perfectly clear
that the number of characters to be consumed is *variable* - in this
case, it starts from 1 and then lands on 2. Hence, thereâ€™s no *evident*
way to rule out stuff - although something might be coded, admittedly.

Hereâ€™s my solution in Perl:

```
#!/usr/bin/env perl
use 5.024;
use warnings;
use experimental qw< postderef signatures >;
no warnings qw< experimental::postderef experimental::signatures >;
sub number_sequence ($N) {
my $length = length $N;
SIZE:
for my $l (1 .. $length / 2) {
my @retval = my $x = substr $N, 0, $l;
my $start = $l;
++$x;
while ((my $available = $length - $start) > 0) {
my $xlen = length $x;
next SIZE if $xlen > $available || substr($N, $start, $xlen) ne $x;
push @retval, $x;
$start += $xlen;
++$x;
}
return @retval;
}
return $N;
}
my @inputs = @ARGV ? @ARGV : qw< 1234 91011 10203 >;
say join ',', number_sequence($_) for @inputs;
```

Hereâ€™s the corresponding solution in Raku:

```
#!/usr/bin/env raku
use v6;
sub number-sequence (Int $N where * >= 10) {
my $Nlength = $N.chars;
SIZE:
for 1 .. ($Nlength / 2) -> $l {
my @retval = my $x = $N.substr(0, $l);
my $start = $l;
++$x;
while (my $available = $Nlength - $start) > 0 {
my $xlen = $x.chars;
next SIZE if $xlen > $available || $N.substr($start, $xlen) ne $x;
@retval.push($x);
$start += $xlen;
++$x;
}
return @retval;
}
return $N;
}
sub MAIN (*@inputs) {
@inputs = < 1234 91011 10203 > unless @inputs.elems;
number-sequence($_).join(',').put for @inputs;
}
```

Stay safe!

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