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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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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,19 @@ | ||
| { | ||
| "authors": [ | ||
| "hucancode" | ||
| ], | ||
| "files": { | ||
| "solution": [ | ||
| "book_store.odin" | ||
| ], | ||
| "test": [ | ||
| "book_store_test.odin" | ||
| ], | ||
| "example": [ | ||
| ".meta/example.odin" | ||
| ] | ||
| }, | ||
| "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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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,41 @@ | ||
| package book_store | ||
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| import "core:slice" | ||
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| calculate :: proc(counts: [5]u32) -> u32 { | ||
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| ret: f32 = 0.0 | ||
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| used: u32 = 0 | ||
| base_price: f32 = 800.0 | ||
| n := len(counts) | ||
| for i in 0 ..< n { | ||
| m := n - i | ||
| x := counts[i] - used | ||
| used = counts[i] | ||
| price := base_price * f32(m) * f32(x) | ||
| discount: f32 | ||
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| switch m { | ||
| case 2: | ||
| discount = 0.95 | ||
| case 3: | ||
| discount = 0.90 | ||
| case 4: | ||
| discount = 0.80 | ||
| case 5: | ||
| discount = 0.75 | ||
| case: | ||
| discount = 1.0 | ||
| } | ||
| ret += price * discount | ||
| } | ||
| return u32(ret) | ||
| } | ||
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| total :: proc(basket: []u32) -> u32 { | ||
| counts: [5]u32 | ||
| for book in basket do counts[book - 1] += 1 | ||
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| slice.sort(counts[:]) | ||
| delta := min(counts[0], counts[2] - counts[1]) | ||
| counts[0] -= delta | ||
| counts[1] += delta | ||
| return calculate(counts) | ||
| } | ||
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| Original file line number | Diff line number | Diff line change |
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| @@ -0,0 +1,64 @@ | ||
| # 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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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,6 @@ | ||
| package book_store | ||
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| total :: proc() -> string { | ||
| // Implement this procedure. | ||
| return "" | ||
| } | ||
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| Original file line number | Diff line number | Diff line change |
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| package book_store | ||
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| import "core:testing" | ||
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| @(test) | ||
| test_only_a_single_book :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1} | ||
| result := total(basket[:]) | ||
| expected: u32 = 800 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_of_the_same_book :: proc(t: ^testing.T) { | ||
| basket := [?]u32{2, 2} | ||
| result := total(basket[:]) | ||
| expected: u32 = 1600 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_empty_basket :: proc(t: ^testing.T) { | ||
| basket := [?]u32{} | ||
| result := total(basket[:]) | ||
| expected: u32 = 0 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_different_books :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 2} | ||
| result := total(basket[:]) | ||
| expected: u32 = 1520 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_three_different_books :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 2, 3} | ||
| result := total(basket[:]) | ||
| expected: u32 = 2160 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_four_different_books :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 2, 3, 4} | ||
| result := total(basket[:]) | ||
| expected: u32 = 2560 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_five_different_books :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 2, 3, 4, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 3000 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_groups_of_four_is_cheaper_than_group_of_five_plus_group_of_three :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 5120 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_groups_of_four_is_cheaper_than_groups_of_five_and_three :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 3, 4, 4, 5, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 5120 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_group_of_four_plus_group_of_two_is_cheaper_than_two_groups_of_three :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 4} | ||
| result := total(basket[:]) | ||
| expected: u32 = 4080 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_each_of_first_four_books_and_one_copy_each_of_rest :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 4, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 5560 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_two_copies_of_each_book :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 4, 5, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 6000 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_three_copies_of_first_book_and_two_each_of_remaining :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1} | ||
| result := total(basket[:]) | ||
| expected: u32 = 6800 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_three_each_of_first_two_books_and_two_each_of_remaining_books :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 1, 2} | ||
| result := total(basket[:]) | ||
| expected: u32 = 7520 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_four_groups_of_four_are_cheaper_than_two_groups_each_of_five_and_three :: proc( | ||
| t: ^testing.T, | ||
| ) { | ||
| basket := [?]u32{1, 1, 2, 2, 3, 3, 4, 5, 1, 1, 2, 2, 3, 3, 4, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 10240 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_check_that_groups_of_four_are_created_properly_even_when_there_are_more_groups_of_three_than_groups_of_five :: proc( | ||
| t: ^testing.T, | ||
| ) { | ||
| basket := [?]u32{1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 5, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 14560 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_one_group_of_one_and_four_is_cheaper_than_one_group_of_two_and_three :: proc(t: ^testing.T) { | ||
| basket := [?]u32{1, 1, 2, 3, 4} | ||
| result := total(basket[:]) | ||
| expected: u32 = 3360 | ||
| testing.expect_value(t, result, expected) | ||
| } | ||
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| @(test) | ||
| test_one_group_of_one_and_two_plus_three_groups_of_four_is_cheaper_than_one_group_of_each_size :: proc( | ||
| t: ^testing.T, | ||
| ) { | ||
| basket := [?]u32{1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5} | ||
| result := total(basket[:]) | ||
| expected: u32 = 10000 | ||
| testing.expect_value(t, result, expected) | ||
| } |
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Would you say this is an easy exercise? The "global" average across tracks is 6.4
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I would call this a tricky one, let's make this a 5, shall we?
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Still waiting for this change.
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I looked at the solution provided here. It is different from the one I built for other tracks but it passes the tests. This solution is way more compact than mine (which is good) but I am having problem following the logic. I think this is definitively a difficult problem (at least for me(, the instructions make it look easy but it isn't. I would vote for a 9 but would be okay if it is at least a 5.
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@rmonnet
My solution based on an observation for this particular 5 book series problem:
The rest are just implementation detail. I count book count for each series, sort them, so that we buy good value set first. Then I try to upgrade 3-set to 4-set for the cost of downgrading 5-set to 4-set, which is a net gain as we observed earlier.