Published at Oct 06 2019
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Instructions

Test suite

Solution

Correctly determine the fewest number of coins to be given to a customer such that the sum of the coins' value would equal the correct amount of change.

- An input of 15 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) or [5, 10]
- An input of 40 with [1, 5, 10, 25, 100] should return one nickel (5) and one dime (10) and one quarter (25) or [5, 10, 25]

- Does your algorithm work for any given set of coins?
- Can you ask for negative change?
- Can you ask for a change value smaller than the smallest coin value?

The Scala exercises assume an SBT project scheme. The exercise solution source should be placed within the exercise directory/src/main/scala. The exercise unit tests can be found within the exercise directory/src/test/scala.

To run the tests simply run the command `sbt test`

in the exercise directory.

Please see the learning and installation pages if you need any help.

Software Craftsmanship - Coin Change Kata https://web.archive.org/web/20130115115225/http://craftsmanship.sv.cmu.edu:80/exercises/coin-change-kata

It's possible to submit an incomplete solution so you can see how others have completed the exercise.

```
import org.scalatest.{Matchers, FunSuite}
/** @version 1.2.0 */
class ChangeTest extends FunSuite with Matchers {
test("single coin change") {
Change.findFewestCoins(25, List(1, 5, 10, 25, 100)) should be (Some(List(25)))
}
test("multiple coin change") {
pending
Change.findFewestCoins(15, List(1, 5, 10, 25, 100)) should be (Some(List(5, 10)))
}
test("change with Lilliputian Coins") {
pending
Change.findFewestCoins(23, List(1, 4, 15, 20, 50)) should be (Some(List(4, 4, 15)))
}
test("change with Lower Elbonia Coins") {
pending
Change.findFewestCoins(63, List(1, 5, 10, 21, 25)) should be (Some(List(21, 21, 21)))
}
test("large target values") {
pending
Change.findFewestCoins(999, List(1, 2, 5, 10, 20, 50, 100)) should be (Some(List(2, 2, 5, 20, 20, 50, 100, 100, 100, 100, 100, 100, 100, 100, 100)))
}
test("possible change without unit coins available") {
pending
Change.findFewestCoins(21, List(2, 5, 10, 20, 50)) should be (Some(List(2, 2, 2, 5, 10)))
}
test("another possible change without unit coins available") {
pending
Change.findFewestCoins(27, List(4, 5)) should be (Some(List(4, 4, 4, 5, 5, 5)))
}
test("no coins make 0 change") {
pending
Change.findFewestCoins(0, List(1, 5, 10, 21, 25)) should be (Some(List()))
}
test("error testing for change smaller than the smallest of coins") {
pending
Change.findFewestCoins(3, List(5, 10)) should be (None)
}
test("error if no combination can add up to target") {
pending
Change.findFewestCoins(94, List(5, 10)) should be (None)
}
test("cannot find negative change values") {
pending
Change.findFewestCoins(-5, List(1, 2, 5)) should be (None)
}
}
```

```
import scala.annotation.tailrec
object Change {
import Tree._
private sealed trait CoinTree {
def path: List[Int] = Nil
def depth: Int = path.length
}
private object Tree {
case object Leaf extends CoinTree
case class Node(value: Int, siblings: List[Int], branch: CoinTree) extends CoinTree {
override def path: List[Int] = value :: branch.path
}
}
def findFewestCoins(change: Int, coins: List[Int]): Option[List[Int]] =
if (change == 0) Some(Nil)
else checkCoins(change, coins.reverse, Leaf) match {
case Leaf => None
case tree => Some(tree.path)
}
@tailrec
private def checkCoins(target: Int, coinsList: List[Int], minValid: CoinTree): CoinTree = coinsList match {
case _ :: tail => checkCoins(target, tail, iterate(target, coinsList, Leaf, minValid))
case Nil => minValid
}
@tailrec
private def iterate(remaining: Int, currentCoins: List[Int], acc: CoinTree, minValid: CoinTree): CoinTree = currentCoins match {
case _ if remaining == 0 => List(acc, minValid).sortBy(_.depth).find(_.path.nonEmpty).getOrElse(Leaf)
case c :: cs if c <= remaining => iterate(remaining - c, currentCoins, Node(c, cs, acc), minValid)
case _ :: cs => iterate(remaining, cs, acc, minValid)
case _ => prune(remaining, acc, minValid)
}
private def prune(remaining: Int, acc: CoinTree, minValid: CoinTree): CoinTree = acc match {
case a if a.depth < minValid.depth => minValid
case Leaf => minValid
case Node(v, sibs, branch) => iterate(remaining + v, sibs, branch, minValid)
}
}
```

A huge amount can be learned from reading other people’s code. This is why we wanted to give exercism users the option of making their solutions public.

Here are some questions to help you reflect on this solution and learn the most from it.

- What compromises have been made?
- Are there new concepts here that you could read more about to improve your understanding?

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