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13 changes: 13 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -1245,6 +1245,19 @@
],
"difficulty": 4
},
{
"slug": "book-store",
"name": "Book Store",
"uuid": "dc699152-b327-4493-a485-810a61af69df",
"practices": [],
"prerequisites": [
"loops",
"comparisons",
"if-statements",
"booleans"
],
"difficulty": 8
},
{
"slug": "affine-cipher",
"name": "Affine Cipher",
Expand Down
61 changes: 61 additions & 0 deletions exercises/practice/book-store/.docs/instructions.md
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# Instructions

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 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 (1st, 2nd,3rd, 4th, 5th)
- 1 group of 3 (1st, 2nd, 3rd)

This would give a total of:

- 5 books at a 25% discount
- 3 books at a 10% discount

Resulting in:

- 5 × (100% - 25%) × $8 = 5 × $6.00 = $30.00, plus
- 3 × (100% - 10%) × $8 = 3 × $7.20 = $21.60

Which equals $51.60.

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

- 1 group of 4 books (1st, 2nd, 3rd, 4th)
- 1 group of 4 books (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 × (100% - 20%) × $8 = 4 × $6.40 = $25.60, plus
- 4 × (100% - 20%) × $8 = 4 × $6.40 = $25.60

Which equals $51.20.

And $51.20 is the price with the biggest discount.
21 changes: 21 additions & 0 deletions exercises/practice/book-store/.meta/config.json
Original file line number Diff line number Diff line change
@@ -0,0 +1,21 @@
{
"authors": [
"marcelweikum"
],
"files": {
"solution": [
"book_store.cpp",
"book_store.h"
],
"test": [
"book_store_test.cpp"
],
"example": [
".meta/example.cpp",
".meta/example.h"
]
},
"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"
}
65 changes: 65 additions & 0 deletions exercises/practice/book-store/.meta/example.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,65 @@
#include <algorithm>
#include <array>
#include <limits>
#include <map>
#include <stdexcept>
#include <vector>

#include "book_store.h"

namespace book_store {

constexpr std::array price_after_discount = {0, 800, 1520, 2160, 2560, 3000};

int dfs(const std::array<int, 5>& state,
std::map<std::array<int, 5>, int>& memo) {
auto it = memo.find(state);
if (it != memo.end()) return it->second;

const bool empty = std::all_of(state.cbegin(), state.cend(),
[](auto state) { return state == 0; });
if (empty) {
memo[state] = 0;
return 0;
}

int best = std::numeric_limits<int>::max();

std::vector<int> idx;
for (int i = 0; i < 5; ++i) {
if (state[i] > 0) idx.push_back(i);
}
int n = static_cast<int>(idx.size());

int maxMask = 1 << n;
for (int mask = 1; mask < maxMask; ++mask) {
std::array<int, 5> next = state;
int k = 0;
for (int i = 0; i < n; ++i) {
if (mask & (1 << i)) {
next[idx[i]]--;
++k;
}
}
int cost = price_after_discount[k] + dfs(next, memo);
if (cost < best) best = cost;
}

memo[state] = best;
return best;
}

int total(const std::vector<int>& basket) {
std::array<int, 5> counts{};
for (int id : basket) {
if (id < 1 || id > 5) {
throw std::invalid_argument("book ID is out of range (1–5)");
}
counts[id - 1]++;
}

std::map<std::array<int, 5>, int> memo;
return dfs(counts, memo);
}

} // namespace book_store
9 changes: 9 additions & 0 deletions exercises/practice/book-store/.meta/example.h
Original file line number Diff line number Diff line change
@@ -0,0 +1,9 @@
#pragma once

#include <vector>

namespace book_store {

int total(const std::vector<int>& basket);

} // namespace book_store
64 changes: 64 additions & 0 deletions exercises/practice/book-store/.meta/tests.toml
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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.

[17146bd5-2e80-4557-ab4c-05632b6b0d01]
description = "Only a single book"

[cc2de9ac-ff2a-4efd-b7c7-bfe0f43271ce]
description = "Two of the same book"

[5a86eac0-45d2-46aa-bbf0-266b94393a1a]
description = "Empty basket"

[158bd19a-3db4-4468-ae85-e0638a688990]
description = "Two different books"

[f3833f6b-9332-4a1f-ad98-6c3f8e30e163]
description = "Three different books"

[1951a1db-2fb6-4cd1-a69a-f691b6dd30a2]
description = "Four different books"

[d70f6682-3019-4c3f-aede-83c6a8c647a3]
description = "Five different books"

[78cacb57-911a-45f1-be52-2a5bd428c634]
description = "Two groups of four is cheaper than group of five plus group of three"

[f808b5a4-e01f-4c0d-881f-f7b90d9739da]
description = "Two groups of four is cheaper than groups of five and three"

[fe96401c-5268-4be2-9d9e-19b76478007c]
description = "Group of four plus group of two is cheaper than two groups of three"

[68ea9b78-10ad-420e-a766-836a501d3633]
description = "Two each of first four books and one copy each of rest"

[c0a779d5-a40c-47ae-9828-a340e936b866]
description = "Two copies of each book"

[18fd86fe-08f1-4b68-969b-392b8af20513]
description = "Three copies of first book and two each of remaining"

[0b19a24d-e4cf-4ec8-9db2-8899a41af0da]
description = "Three each of first two books and two each of remaining books"

[bb376344-4fb2-49ab-ab85-e38d8354a58d]
description = "Four groups of four are cheaper than two groups each of five and three"

[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"

[b0478278-c551-4747-b0fc-7e0be3158b1f]
description = "One group of one and four is cheaper than one group of two and three"

[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"
67 changes: 67 additions & 0 deletions exercises/practice/book-store/CMakeLists.txt
Original file line number Diff line number Diff line change
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# Get the exercise name from the current directory
get_filename_component(exercise ${CMAKE_CURRENT_SOURCE_DIR} NAME)

# Basic CMake project
cmake_minimum_required(VERSION 3.5.1)

# Name the project after the exercise
project(${exercise} CXX)

# Get a source filename from the exercise name by replacing -'s with _'s
string(REPLACE "-" "_" file ${exercise})

# Implementation could be only a header
if(EXISTS ${CMAKE_CURRENT_SOURCE_DIR}/${file}.cpp)
set(exercise_cpp ${file}.cpp)
else()
set(exercise_cpp "")
endif()

# Use the common Catch library?
if(EXERCISM_COMMON_CATCH)
# For Exercism track development only
add_executable(${exercise} ${file}_test.cpp ${exercise_cpp} ${file}.h $<TARGET_OBJECTS:catchlib>)
elseif(EXERCISM_TEST_SUITE)
# The Exercism test suite is being run, the Docker image already
# includes a pre-built version of Catch.
find_package(Catch2 REQUIRED)
add_executable(${exercise} ${file}_test.cpp ${exercise_cpp} ${file}.h)
target_link_libraries(${exercise} PRIVATE Catch2::Catch2WithMain)
# When Catch is installed system wide we need to include a different
# header, we need this define to use the correct one.
target_compile_definitions(${exercise} PRIVATE EXERCISM_TEST_SUITE)
else()
# Build executable from sources and headers
add_executable(${exercise} ${file}_test.cpp ${exercise_cpp} ${file}.h test/tests-main.cpp)
endif()

set_target_properties(${exercise} PROPERTIES
CXX_STANDARD 17
CXX_STANDARD_REQUIRED OFF
CXX_EXTENSIONS OFF
)

set(CMAKE_BUILD_TYPE Debug)

if("${CMAKE_CXX_COMPILER_ID}" MATCHES "(GNU|Clang)")
set_target_properties(${exercise} PROPERTIES
COMPILE_FLAGS "-Wall -Wextra -Wpedantic -Werror"
)
endif()

# Configure to run all the tests?
if(${EXERCISM_RUN_ALL_TESTS})
target_compile_definitions(${exercise} PRIVATE EXERCISM_RUN_ALL_TESTS)
endif()

# Tell MSVC not to warn us about unchecked iterators in debug builds
# Treat warnings as errors
# Treat type conversion warnings C4244 and C4267 as level 4 warnings, i.e. ignore them in level 3
if(${MSVC})
set_target_properties(${exercise} PROPERTIES
COMPILE_DEFINITIONS_DEBUG _SCL_SECURE_NO_WARNINGS
COMPILE_FLAGS "/WX /w44244 /w44267")
endif()

# Run the tests on every build
add_custom_target(test_${exercise} ALL DEPENDS ${exercise} COMMAND ${exercise})
7 changes: 7 additions & 0 deletions exercises/practice/book-store/book_store.cpp
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@@ -0,0 +1,7 @@
#include "book_store.h"

namespace book_store {

// TODO: add your solution here

} // namespace book_store
7 changes: 7 additions & 0 deletions exercises/practice/book-store/book_store.h
Original file line number Diff line number Diff line change
@@ -0,0 +1,7 @@
#pragma once

namespace book_store {

// TODO: add your solution here

} // namespace book_store
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