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# Instructions | ||
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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. | ||
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One copy of any of the five books costs $8. | ||
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If, however, you buy two different books, you get a 5% discount on those two books. | ||
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If you buy 3 different books, you get a 10% discount. | ||
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If you buy 4 different books, you get a 20% discount. | ||
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If you buy all 5, you get a 25% discount. | ||
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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. | ||
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Your mission is to write code to calculate the price of any conceivable shopping basket (containing only books of the same series), giving as big a discount as possible. | ||
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For example, how much does this basket of books cost? | ||
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- 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 | ||
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One way of grouping these 8 books is: | ||
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- 1 group of 5 (1st, 2nd,3rd, 4th, 5th) | ||
- 1 group of 3 (1st, 2nd, 3rd) | ||
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This would give a total of: | ||
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- 5 books at a 25% discount | ||
- 3 books at a 10% discount | ||
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Resulting in: | ||
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- 5 × (100% - 25%) × $8 = 5 × $6.00 = $30.00, plus | ||
- 3 × (100% - 10%) × $8 = 3 × $7.20 = $21.60 | ||
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Which equals $51.60. | ||
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However, a different way to group these 8 books is: | ||
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- 1 group of 4 books (1st, 2nd, 3rd, 4th) | ||
- 1 group of 4 books (1st, 2nd, 3rd, 5th) | ||
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This would give a total of: | ||
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- 4 books at a 20% discount | ||
- 4 books at a 20% discount | ||
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Resulting in: | ||
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- 4 × (100% - 20%) × $8 = 4 × $6.40 = $25.60, plus | ||
- 4 × (100% - 20%) × $8 = 4 × $6.40 = $25.60 | ||
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Which equals $51.20. | ||
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And $51.20 is the price with the biggest discount. |
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*.beam | ||
*.ez | ||
build | ||
erl_crash.dump |
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{ | ||
"authors": [ | ||
"massivefermion" | ||
], | ||
"files": { | ||
"solution": [ | ||
"src/book_store.gleam" | ||
], | ||
"test": [ | ||
"test/book_store_test.gleam" | ||
], | ||
"example": [ | ||
".meta/example.gleam" | ||
], | ||
"invalidator": [ | ||
"gleam.toml", | ||
"manifest.toml" | ||
] | ||
}, | ||
"blurb": "To try and encourage more sales of different books from a popular 5 book series, a bookshop has decided to offer discounts of multiple-book purchases.", | ||
"source": "Inspired by the harry potter kata from Cyber-Dojo.", | ||
"source_url": "https://cyber-dojo.org" | ||
} |
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import gleam/int | ||
import gleam/list | ||
import gleam/float | ||
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pub fn lowest_price(books: List(Int)) -> Float { | ||
books | ||
|> list.fold( | ||
[#(1, 0), #(2, 0), #(3, 0), #(4, 0), #(5, 0)], | ||
fn(acc, book) { | ||
let assert Ok(current) = list.key_find(acc, book) | ||
list.key_set(acc, book, current + 1) | ||
}, | ||
) | ||
|> list.map(fn(item) { item.1 }) | ||
|> list.sort(int.compare) | ||
|> calculate(0.0) | ||
} | ||
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fn calculate(counts: List(Int), acc: Float) -> Float { | ||
case counts { | ||
[0, 0, 0, 0, a] -> acc +. int.to_float(a) *. 800.0 | ||
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[0, 0, 0, a, b] -> calculate([0, 0, 0, a - 1, b - 1], acc +. 2.0 *. 760.0) | ||
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[0, 0, a, b, c] -> | ||
calculate([0, 0, a - 1, b - 1, c - 1], acc +. 3.0 *. 720.0) | ||
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[0, a, b, c, d] -> | ||
calculate([0, a - 1, b - 1, c - 1, d - 1], acc +. 4.0 *. 640.0) | ||
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[a, b, c, d, e] -> | ||
float.min( | ||
calculate([a - 1, b - 1, c - 1, d - 1, e - 1], acc +. 5.0 *. 600.0), | ||
calculate( | ||
list.sort([a, b - 1, c - 1, d - 1, e - 1], int.compare), | ||
acc +. 4.0 *. 640.0, | ||
), | ||
) | ||
} | ||
} |
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# This is an auto-generated file. | ||
# | ||
# Regenerating this file via `configlet sync` will: | ||
# - Recreate every `description` key/value pair | ||
# - Recreate every `reimplements` key/value pair, where they exist in problem-specifications | ||
# - Remove any `include = true` key/value pair (an omitted `include` key implies inclusion) | ||
# - Preserve any other key/value pair | ||
# | ||
# As user-added comments (using the # character) will be removed when this file | ||
# is regenerated, comments can be added via a `comment` key. | ||
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[17146bd5-2e80-4557-ab4c-05632b6b0d01] | ||
description = "Only a single book" | ||
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[cc2de9ac-ff2a-4efd-b7c7-bfe0f43271ce] | ||
description = "Two of the same book" | ||
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[5a86eac0-45d2-46aa-bbf0-266b94393a1a] | ||
description = "Empty basket" | ||
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[158bd19a-3db4-4468-ae85-e0638a688990] | ||
description = "Two different books" | ||
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[f3833f6b-9332-4a1f-ad98-6c3f8e30e163] | ||
description = "Three different books" | ||
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[1951a1db-2fb6-4cd1-a69a-f691b6dd30a2] | ||
description = "Four different books" | ||
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[d70f6682-3019-4c3f-aede-83c6a8c647a3] | ||
description = "Five different books" | ||
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[78cacb57-911a-45f1-be52-2a5bd428c634] | ||
description = "Two groups of four is cheaper than group of five plus group of three" | ||
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[f808b5a4-e01f-4c0d-881f-f7b90d9739da] | ||
description = "Two groups of four is cheaper than groups of five and three" | ||
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[fe96401c-5268-4be2-9d9e-19b76478007c] | ||
description = "Group of four plus group of two is cheaper than two groups of three" | ||
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[68ea9b78-10ad-420e-a766-836a501d3633] | ||
description = "Two each of first four books and one copy each of rest" | ||
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[c0a779d5-a40c-47ae-9828-a340e936b866] | ||
description = "Two copies of each book" | ||
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[18fd86fe-08f1-4b68-969b-392b8af20513] | ||
description = "Three copies of first book and two each of remaining" | ||
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[0b19a24d-e4cf-4ec8-9db2-8899a41af0da] | ||
description = "Three each of first two books and two each of remaining books" | ||
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[bb376344-4fb2-49ab-ab85-e38d8354a58d] | ||
description = "Four groups of four are cheaper than two groups each of five and three" | ||
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[5260ddde-2703-4915-b45a-e54dbbac4303] | ||
description = "Check that groups of four are created properly even when there are more groups of three than groups of five" | ||
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[b0478278-c551-4747-b0fc-7e0be3158b1f] | ||
description = "One group of one and four is cheaper than one group of two and three" | ||
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[cf868453-6484-4ae1-9dfc-f8ee85bbde01] | ||
description = "One group of one and two plus three groups of four is cheaper than one group of each size" |
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name = "book_store" | ||
version = "0.1.0" | ||
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[dependencies] | ||
gleam_bitwise = "~> 1.3" | ||
gleam_otp = "~> 0.7" | ||
gleam_stdlib = "~> 0.31" | ||
simplifile = "~> 0.1" | ||
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[dev-dependencies] | ||
exercism_test_runner = "~> 1.4" |
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# This file was generated by Gleam | ||
# You typically do not need to edit this file | ||
|
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packages = [ | ||
{ name = "exercism_test_runner", version = "1.4.0", build_tools = ["gleam"], requirements = ["gleam_community_ansi", "simplifile", "gleam_erlang", "gleam_json", "gap", "glance", "gleam_stdlib"], otp_app = "exercism_test_runner", source = "hex", outer_checksum = "336FBF790841C2DC25EB77B35E76A09EFDB9771D7D813E0FDBC71A50CB79711D" }, | ||
{ name = "gap", version = "0.7.0", build_tools = ["gleam"], requirements = ["gleam_stdlib", "gleam_community_ansi"], otp_app = "gap", source = "hex", outer_checksum = "AF290C27B3FAE5FE64E1B7E9C70A9E29AA0F42429C0592D375770C1C51B79D36" }, | ||
{ name = "glance", version = "0.7.1", build_tools = ["gleam"], requirements = ["gleam_stdlib", "glexer"], otp_app = "glance", source = "hex", outer_checksum = "B646A08970990D9D7A103443C5CD46F9D4297BF05F188767777FCC14ADF395EA" }, | ||
{ name = "gleam_bitwise", version = "1.3.0", build_tools = ["gleam"], requirements = [], otp_app = "gleam_bitwise", source = "hex", outer_checksum = "E2A46EE42E5E9110DAD67E0F71E7358CBE54D5EC22C526DD48CBBA3223025792" }, | ||
{ name = "gleam_community_ansi", version = "1.1.0", build_tools = ["gleam"], requirements = ["gleam_bitwise", "gleam_community_colour", "gleam_stdlib"], otp_app = "gleam_community_ansi", source = "hex", outer_checksum = "6E4E0CF2B207C1A7FCD3C21AA43514D67BC7004F21F82045CDCCE6C727A14862" }, | ||
{ name = "gleam_community_colour", version = "1.1.0", build_tools = ["gleam"], requirements = ["gleam_stdlib", "gleam_bitwise"], otp_app = "gleam_community_colour", source = "hex", outer_checksum = "D27CE357ECB343929A8CEC3FBA0B499943A47F0EE1F589EE16AFC2DC21C61E5B" }, | ||
{ name = "gleam_erlang", version = "0.22.0", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "gleam_erlang", source = "hex", outer_checksum = "367D8B41A7A86809928ED1E7E55BFD0D46D7C4CF473440190F324AFA347109B4" }, | ||
{ name = "gleam_json", version = "0.6.0", build_tools = ["gleam"], requirements = ["thoas", "gleam_stdlib"], otp_app = "gleam_json", source = "hex", outer_checksum = "C6CC5BEECA525117E97D0905013AB3F8836537455645DDDD10FE31A511B195EF" }, | ||
{ name = "gleam_otp", version = "0.7.0", build_tools = ["gleam"], requirements = ["gleam_stdlib", "gleam_erlang"], otp_app = "gleam_otp", source = "hex", outer_checksum = "ED7381E90636E18F5697FD7956EECCA635A3B65538DC2BE2D91A38E61DCE8903" }, | ||
{ name = "gleam_stdlib", version = "0.31.0", build_tools = ["gleam"], requirements = [], otp_app = "gleam_stdlib", source = "hex", outer_checksum = "6D1BC5B4D4179B9FEE866B1E69FE180AC2CE485AD90047C0B32B2CA984052736" }, | ||
{ name = "glexer", version = "0.6.2", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "glexer", source = "hex", outer_checksum = "703D2347F5180B2BCEA4D258549B0D91DACD0905010892BAC46D04D913B84D1F" }, | ||
{ name = "simplifile", version = "0.1.14", build_tools = ["gleam"], requirements = ["gleam_stdlib"], otp_app = "simplifile", source = "hex", outer_checksum = "10EA0207796F20488A3A166C50A189C9385333F3C9FAC187729DE7B9CE4ADDBC" }, | ||
{ name = "thoas", version = "0.4.1", build_tools = ["rebar3"], requirements = [], otp_app = "thoas", source = "hex", outer_checksum = "4918D50026C073C4AB1388437132C77A6F6F7C8AC43C60C13758CC0ADCE2134E" }, | ||
] | ||
|
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[requirements] | ||
exercism_test_runner = { version = "~> 1.4" } | ||
gleam_bitwise = { version = "~> 1.3" } | ||
gleam_otp = { version = "~> 0.7" } | ||
gleam_stdlib = { version = "~> 0.31" } | ||
simplifile = { version = "~> 0.1" } |
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pub fn lowest_price(basket: List(Int)) { | ||
todo | ||
} |
151 changes: 151 additions & 0 deletions
151
exercises/practice/book-store/test/book_store_test.gleam
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import exercism/test_runner | ||
import exercism/should | ||
import book_store | ||
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pub fn main() { | ||
test_runner.main() | ||
} | ||
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pub fn only_a_single_book_test() { | ||
let input = [1] | ||
let output = book_store.lowest_price(input) | ||
let expected = 800.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_of_the_same_book_test() { | ||
let input = [2, 2] | ||
let output = book_store.lowest_price(input) | ||
let expected = 1600.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn empty_basket_test() { | ||
let input = [] | ||
let output = book_store.lowest_price(input) | ||
let expected = 0.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_different_books_test() { | ||
let input = [1, 2] | ||
let output = book_store.lowest_price(input) | ||
let expected = 1520.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn three_different_books_test() { | ||
let input = [1, 2, 3] | ||
let output = book_store.lowest_price(input) | ||
let expected = 2160.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn four_different_books_test() { | ||
let input = [1, 2, 3, 4] | ||
let output = book_store.lowest_price(input) | ||
let expected = 2560.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn five_different_books_test() { | ||
let input = [1, 2, 3, 4, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 3000.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_groups_of_four_is_cheaper_than_group_of_five_plus_group_of_three_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 5120.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_groups_of_four_is_cheaper_than_groups_of_five_and_three_test() { | ||
let input = [1, 1, 2, 3, 4, 4, 5, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 5120.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn group_of_four_plus_group_of_two_is_cheaper_than_two_groups_of_three_test() { | ||
let input = [1, 1, 2, 2, 3, 4] | ||
let output = book_store.lowest_price(input) | ||
let expected = 4080.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_each_of_first_four_books_and_one_copy_each_of_rest_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 4, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 5560.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn two_copies_of_each_book_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 4, 5, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 6000.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn three_copies_of_first_book_and_two_each_of_remaining_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1] | ||
let output = book_store.lowest_price(input) | ||
let expected = 6800.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn three_each_of_first_two_books_and_two_each_of_remaining_books_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1, 2] | ||
let output = book_store.lowest_price(input) | ||
let expected = 7520.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn four_groups_of_four_are_cheaper_than_two_groups_each_of_five_and_three_test() { | ||
let input = [1, 1, 2, 2, 3, 3, 4, 5, 1, 1, 2, 2, 3, 3, 4, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 10_240.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn check_that_groups_of_four_are_created_properly_even_when_there_are_more_groups_of_three_than_groups_of_five_test() { | ||
let input = [1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 14_560.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn one_group_of_one_and_four_is_cheaper_than_one_group_of_two_and_three_test() { | ||
let input = [1, 1, 2, 3, 4] | ||
let output = book_store.lowest_price(input) | ||
let expected = 3360.0 | ||
output | ||
|> should.equal(expected) | ||
} | ||
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pub fn one_group_of_one_and_two_plus_three_groups_of_four_is_cheaper_than_one_group_of_each_size_test() { | ||
let input = [1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5] | ||
let output = book_store.lowest_price(input) | ||
let expected = 10_000.0 | ||
output | ||
|> should.equal(expected) | ||
} |