# Daily Challenge #136 - The Deaf Rats of Hamelin

Story

The Pied Piper has been enlisted to play his magical tune and coax all the rats out of town.

But some of the rats are deaf and are going the wrong way!

How many deaf rats are there?

Legend

• P = The Pied Piper
• O~ = Rat going left
• ~O = Rat going right

Example

• ex1 ~O~O~O~O P has 0 deaf rats
• ex2 P O~ O~ ~O O~ has 1 deaf rat
• ex3 ~O~O~O~OP~O~OO~ has 2 deaf rats

This challenge comes from dinglemouse on CodeWars. Thank you to CodeWars, who has licensed redistribution of this challenge under the 2-Clause BSD License!

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### Discussion

Done very quickly, but works.

F#

let deafRats s=
let rec inner s (piper, deaf) =
if s = "" then
deaf
else
match s.[0..1] with
| x when x.[0] = 'P' -> inner s.[1..] (1, deaf)
| "O~" -> inner s.[2..] (piper, deaf + (1-piper))
| "~O" -> inner s.[2..] (piper, deaf + piper)
| _ -> inner s.[1..] (piper, deaf)

inner s (0, 0)


Here's the most simple case that will fail:

> deafRats "o~ P";;
System.ArgumentOutOfRangeException: Index and length must refer to a location within the string. (Parameter 'length')
at System.String.Substring(Int32 startIndex, Int32 length)
at FSI_0002.inner@2(String s, Int32 tupledArg0, Int32 tupledArg1)
at FSI_0002.deafRats(String s)
at <StartupCode$FSI_0008>.$FSI_0008.main@()
Stopped due to error


Thanks for the feedback. With a little inspiration from Avalander's Scala solution, I've got it what I had in mind in the first place.

let deafRats (s:string)=
let rec inner s piper deaf =
match s with
| [] -> deaf
| 'P' :: tail -> inner tail 1 deaf
| 'O' :: '~' :: tail -> inner tail piper (deaf + 1 - piper)
| '~' :: 'O' :: tail -> inner tail piper (deaf + piper)
| _ :: tail -> inner tail piper deaf

inner [for c in s -> c] 0 0


Nice math trick with the piper, hadn't thought of that!

Using javascript

const examples = [
"~O~O~O~O P",
"P O~ O~ ~O O~",
"~O~O~O~OP~O~OO~",
"O~ O~~OPO~~O O~"
];

const putSpaces = item => item.replace(/(.{2})/g, "\$1 ");
const getDeafRats = example => {

return (
);
};

const totalDeafRats = examples.reduce(
(total, result) => total + getDeafRats(result),
0
);
console.log("Total", totalDeafRats);
console.log("For each example", examples.map(getDeafRats));



CodeSandbox example

Slightly over-engineered solution in Scala.

object Hamelin {
trait Character
case object Piper extends Character
case object Left extends Character
case object Right extends Character

type Town = Seq[Character]

def of (raw: String): Town = {
@tailrec
def iter (chars: Seq[Char], result: Town = List()): Town =
chars match {
case Nil              => result
case 'P' :: xs        => iter(xs, result :+ Piper)
case 'O' :: '~' :: xs => iter(xs, result :+ Left)
case '~' :: 'O' :: xs => iter(xs, result :+ Right)
case _ :: xs          => iter(xs, result)
}
iter(raw.toList)
}

def countDeafRats (town: Town): Int = {
val (result, _) = town.foldLeft((0, false)) {
case ((x, _), Piper)     => (x, true)
case ((x, false), Left)  => (x + 1, false)
case ((x, true), Right)  => (x + 1, true)
case (x, _)              => x
}
result
}

val solve = countDeafRats _ compose of _
}



And the tests:

class HamelinTest extends FunSuite {
trait Input {
val raw1 = "~O~O~O~O P"
val raw2 = "P O~ O~ ~O O~"
val raw3 = "~O~O~O~OP~O~OO~"
}

trait Parsed {
val parsed1 = List(Right, Right, Right, Right, Piper)
val parsed2 = List(Piper, Left, Left, Right, Left)
val parsed3 = List(Right, Right, Right, Right, Piper, Right, Right, Left)
}

test("of") {
new Input with Parsed {
assert(of(raw1) == parsed1)
assert(of(raw2) == parsed2)
assert(of(raw3) == parsed3)
}
}

test("countDeafRats") {
new Parsed {
assert(countDeafRats(parsed1) == 0)
assert(countDeafRats(parsed2) == 1)
assert(countDeafRats(parsed3) == 2)
}
}

test("solve") {
new Input {
assert(solve(raw1) == 0)
assert(solve(raw2) == 1)
assert(solve(raw3) == 2)
}
}
}


Using Ruby and Regex

def count_deaf_rats(input)
deaf_count = 0
while input =~ /~O|O~/
if input =~ /~O\s*P|P\s*O~/
input = input.gsub(/~O\s*P|P\s*O~/, 'P')
end

if input =~ /O~\s*P|P\s*~O/
input = input.gsub(/O~\s*P|P\s*~O/, 'P')
deaf_count += 1
end
end

deaf_count
end

examples = [
'~O~O~O~O P',
'P O~ O~ ~O O~',
'~O~O~O~OP~O~OO~'
]

examples.each_with_index do |ex, idx|
puts "ex#{idx + 1} #{ex} has #{count_deaf_rats(ex)} deaf rats"
end


Output:

ex1 ~O~O~O~O P has 0 deaf rats
ex2 P O~ O~ ~O O~ has 1 deaf rats
ex3 ~O~O~O~OP~O~OO~ has 2 deaf rats


JS

deaf = town => [...town].filter((x, i, a) => x === 'O' && ((a[i + 1] ==='~' && i < a.indexOf('P')) || (a[i - 1] ==='~' && i > a.indexOf('P')))).length


Here is my javascript walkthrough, I've used repl.it for the first time and it felt like a great use case.

Let me know if the video helps you!