RogerBW's Blog

The Weekly Challenge 321: Just an Average Backspace 18 May 2025

I’ve been doing the Weekly Challenges. The latest involved list processing and string assembly. (Note that this ends today.)

Task 1: Distinct Average

You are given an array of numbers with even length.

Write a script to return the count of distinct average. The average is calculate by removing the minimum and the maximum, then average of the two.

Well, we don't need to go that far; if the average of A and B is a distinct number, so is A+B. So none of that messy floating point nonsense. Perl:

sub distinctaverage($a0) {

We'll need lots of maxima and minima, so sort the list.

  my @a = sort { $::a <=> $::b }  @{$a0};

Work out the offset for second elements.

  my $offset = scalar @a - 1;
  my %res;

Iterate through the indices of the first half of the array

  foreach my $i (0 .. (scalar @a) / 2) {

combining each element with its mirror (first plus Nth, second plus (N-1)th, etc.) and storing the sums in a set. (A true set in languages that have them, a hash otherwise.)

    $res{$a[$i] + $a[$offset - $i]} = 1;
  }

Number of set keys is number of distinct values.

  scalar keys %res;
}

Obviously one could equally well shift and pop the first and last elements off the sorted array.

Task 2: Backspace Compare

You are given two strings containing zero or more #.

Write a script to return true if the two given strings are same by treating # as backspace.

The obvious thing to do here seems to me to be to build up the output string one character at a time. I'm happier doing this with variable-length arrays than with actual strings, so in Rust:

fn backspacecompare(a: &str, b: &str) -> bool {

I'll stow the output strings here.

    let mut sa: Vec<String> = Vec::new();

Do the same thing to each string. (Yeah, I could write a separate function to do this. In retrospect I might well do that.)

    for i in [a, b] {
        let mut oa = Vec::new();

Iterate over characters.

        for c in i.chars() {

If it's a "#", discard it and the previous character.

            if c == '#' {
                oa.pop();

Otherwise, append it.

            } else {
                oa.push(c)
            }
        }

Join the output into a string, and store it.

        sa.push(oa.iter().collect());
    }

Return the comparison.

    sa[0] == sa[1]
}

PostScript is of course especially well suited to this kind of stack-based manipulation, and it can be done without even any local variables.

/backspacecompare {

Turn the two input parameters into a 2-element array.

    2 array astore

Iterate over that array.

    {

Start a new array, and push that start down below the string we're about to work on.

        [ exch

Convert that string to an array of chars, and interate over it.

          s2a {

We may need to use it twice.

              dup

If it's a hash sign, discard the duplicate and the previous character. Otherwise the duplicate is left on top of the stack.

              35 eq {
                  pop pop
              } if
          } forall

End the array.

        ]
    } forall

So by this point we have two arrays of processed character sequences. Compare them. (We could convert them to strings first, but my deepeq works on either.)

    deepeq
} bind def

Full code on github.

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