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astro6703's solution

to Book Store in the C# Track

Published at Feb 22 2019 · 0 comments
Instructions
Test suite
Solution

Note:

This exercise has changed since this solution was written.

To try and encourage more sales of different books from a popular 5 book series, a bookshop has decided to offer discounts on multiple book purchases.

One copy of any of the five books costs $8.

If, however, you buy two different books, you get a 5% discount on those two books.

If you buy 3 different books, you get a 10% discount.

If you buy 4 different books, you get a 20% discount.

If you buy all 5, you get a 25% discount.

Note: that if you buy four books, of which 3 are different titles, you get a 10% discount on the 3 that form part of a set, but the fourth book still costs $8.

Your mission is to write a piece of code to calculate the price of any conceivable shopping basket (containing only books of the same series), giving as big a discount as possible.

For example, how much does this basket of books cost?

  • 2 copies of the first book
  • 2 copies of the second book
  • 2 copies of the third book
  • 1 copy of the fourth book
  • 1 copy of the fifth book

One way of grouping these 8 books is:

  • 1 group of 5 --> 25% discount (1st,2nd,3rd,4th,5th)
  • +1 group of 3 --> 10% discount (1st,2nd,3rd)

This would give a total of:

  • 5 books at a 25% discount
  • +3 books at a 10% discount

Resulting in:

  • 5 x (8 - 2.00) == 5 x 6.00 == $30.00
  • +3 x (8 - 0.80) == 3 x 7.20 == $21.60

For a total of $51.60

However, a different way to group these 8 books is:

  • 1 group of 4 books --> 20% discount (1st,2nd,3rd,4th)
  • +1 group of 4 books --> 20% discount (1st,2nd,3rd,5th)

This would give a total of:

  • 4 books at a 20% discount
  • +4 books at a 20% discount

Resulting in:

  • 4 x (8 - 1.60) == 4 x 6.40 == $25.60
  • +4 x (8 - 1.60) == 4 x 6.40 == $25.60

For a total of $51.20

And $51.20 is the price with the biggest discount.

Running the tests

To run the tests, run the command dotnet test from within the exercise directory.

Further information

For more detailed information about the C# track, including how to get help if you're having trouble, please visit the exercism.io C# language page.

Source

Inspired by the harry potter kata from Cyber-Dojo. http://cyber-dojo.org

Submitting Incomplete Solutions

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

BookStoreTest.cs

// This file was auto-generated based on version 1.4.0 of the canonical data.

using System;
using Xunit;

public class BookStoreTest
{
    [Fact]
    public void Only_a_single_book()
    {
        var basket = new[] { 1 };
        Assert.Equal(8, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_of_the_same_book()
    {
        var basket = new[] { 2, 2 };
        Assert.Equal(16, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Empty_basket()
    {
        var basket = Array.Empty<int>();
        Assert.Equal(0, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_different_books()
    {
        var basket = new[] { 1, 2 };
        Assert.Equal(15.2, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Three_different_books()
    {
        var basket = new[] { 1, 2, 3 };
        Assert.Equal(21.6, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Four_different_books()
    {
        var basket = new[] { 1, 2, 3, 4 };
        Assert.Equal(25.6, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Five_different_books()
    {
        var basket = new[] { 1, 2, 3, 4, 5 };
        Assert.Equal(30, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_groups_of_four_is_cheaper_than_group_of_five_plus_group_of_three()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 5 };
        Assert.Equal(51.2, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_groups_of_four_is_cheaper_than_groups_of_five_and_three()
    {
        var basket = new[] { 1, 1, 2, 3, 4, 4, 5, 5 };
        Assert.Equal(51.2, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Group_of_four_plus_group_of_two_is_cheaper_than_two_groups_of_three()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 4 };
        Assert.Equal(40.8, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_each_of_first_4_books_and_1_copy_each_of_rest()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 4, 5 };
        Assert.Equal(55.6, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Two_copies_of_each_book()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 4, 5, 5 };
        Assert.Equal(60, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Three_copies_of_first_book_and_2_each_of_remaining()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1 };
        Assert.Equal(68, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Three_each_of_first_2_books_and_2_each_of_remaining_books()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1, 2 };
        Assert.Equal(75.2, BookStore.Total(basket));
    }

    [Fact(Skip = "Remove to run test")]
    public void Four_groups_of_four_are_cheaper_than_two_groups_each_of_five_and_three()
    {
        var basket = new[] { 1, 1, 2, 2, 3, 3, 4, 5, 1, 1, 2, 2, 3, 3, 4, 5 };
        Assert.Equal(102.4, BookStore.Total(basket));
    }
}
using System.Collections.Generic;
using System.Linq;

public static class BookStore
{
    private const double BookPrice = 8;

    private static readonly Dictionary<int, double> discounts = new Dictionary<int, double>
    {
        {1, 1.0 },
        {2, 0.95},
        {3, 0.90},
        {4, 0.80},
        {5, 0.75}
    };

    public static double Total(IEnumerable<int> books)
    {
        if (books.Count() == 0) return 0;

        var groups = GetAllGroups(books);

        return Enumerable.Min(groups.Select(group => GetGroupPrice(group)));
    }

    private static IEnumerable<int[]> GetAllGroups(IEnumerable<int> books)
    {
        var groups = new List<int[]>();
        
        for (int i = 1; i <= 5; i++)
        {
            var singleGroup = SortBooksByCount(books);
            var lengths = new List<int>();
            
            while (singleGroup.Count() != 0)
            {
                var uniqueBooks = singleGroup.Distinct().Take(i);
                singleGroup = singleGroup.RemoveBooks(uniqueBooks);
                lengths.Add(uniqueBooks.Count());
            }

            groups.Add(lengths.ToArray());
        }

        return groups;
    }

    private static IEnumerable<int> RemoveBooks(this IEnumerable<int> collection, IEnumerable<int> toRemove)
    {
        var collectionList = collection.ToList();
        
        foreach (var book in toRemove)
            collectionList.Remove(book);

        return collectionList;
    }

    private static IEnumerable<int> SortBooksByCount(IEnumerable<int> books)
        => books.GroupBy(x => x)
            .OrderByDescending(x => x.Count())
            .SelectMany(x => x);

    private static double GetGroupPrice(IEnumerable<int> groupsLengths) 
        => groupsLengths.Sum(length => BookPrice * length * discounts[length]); 
}

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