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8 changes: 8 additions & 0 deletions config.json
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Expand Up @@ -258,6 +258,14 @@
"prerequisites": [],
"difficulty": 5
},
{
"slug": "sum-of-multiples",
"name": "Sum of Multiples",
"uuid": "18ea92e5-6855-4dd6-b6d0-e2473d036fd4",
"practices": [],
"prerequisites": [],
"difficulty": 5
},
{
"slug": "swift-scheduling",
"name": "Swift Scheduling",
Expand Down
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# SQLite-specific instructions

## JSON documentation

[JSON Functions And Operators][json-docs]

[json-docs]: https://www.sqlite.org/json1.html
27 changes: 27 additions & 0 deletions exercises/practice/sum-of-multiples/.docs/instructions.md
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# Instructions

Your task is to write the code that calculates the energy points that get awarded to players when they complete a level.

The points awarded depend on two things:

- The level (a number) that the player completed.
- The base value of each magical item collected by the player during that level.

The energy points are awarded according to the following rules:

1. For each magical item, take the base value and find all the multiples of that value that are less than the level number.
2. Combine the sets of numbers.
3. Remove any duplicates.
4. Calculate the sum of all the numbers that are left.

Let's look at an example:

**The player completed level 20 and found two magical items with base values of 3 and 5.**

To calculate the energy points earned by the player, we need to find all the unique multiples of these base values that are less than level 20.

- Multiples of 3 less than 20: `{3, 6, 9, 12, 15, 18}`
- Multiples of 5 less than 20: `{5, 10, 15}`
- Combine the sets and remove duplicates: `{3, 5, 6, 9, 10, 12, 15, 18}`
- Sum the unique multiples: `3 + 5 + 6 + 9 + 10 + 12 + 15 + 18 = 78`
- Therefore, the player earns **78** energy points for completing level 20 and finding the two magical items with base values of 3 and 5.
6 changes: 6 additions & 0 deletions exercises/practice/sum-of-multiples/.docs/introduction.md
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# Introduction

You work for a company that makes an online, fantasy-survival game.

When a player finishes a level, they are awarded energy points.
The amount of energy awarded depends on which magical items the player found while exploring that level.
19 changes: 19 additions & 0 deletions exercises/practice/sum-of-multiples/.meta/config.json
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{
"authors": [
"jimmytty"
],
"files": {
"solution": [
"sum-of-multiples.sql"
],
"test": [
"sum-of-multiples_test.sql"
],
"example": [
".meta/example.sql"
]
},
"blurb": "Given a number, find the sum of all the multiples of particular numbers up to but not including that number.",
"source": "A variation on Problem 1 at Project Euler",
"source_url": "https://projecteuler.net/problem=1"
}
14 changes: 14 additions & 0 deletions exercises/practice/sum-of-multiples/.meta/example.sql
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UPDATE "sum-of-multiples"
SET result = (
WITH sets (multiples) AS (
SELECT (
SELECT JSON_GROUP_ARRAY(s.value)
FROM GENERATE_SERIES(1, "limit" - 1) s
WHERE s.value % j.value = 0
)
FROM JSON_EACH(factors) j
)
SELECT COALESCE(SUM(DISTINCT(j.value)), 0)
FROM sets, JSON_EACH(multiples) j
)
;
58 changes: 58 additions & 0 deletions exercises/practice/sum-of-multiples/.meta/tests.toml
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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.

[54aaab5a-ce86-4edc-8b40-d3ab2400a279]
description = "no multiples within limit"

[361e4e50-c89b-4f60-95ef-5bc5c595490a]
description = "one factor has multiples within limit"

[e644e070-040e-4ae0-9910-93c69fc3f7ce]
description = "more than one multiple within limit"

[607d6eb9-535c-41ce-91b5-3a61da3fa57f]
description = "more than one factor with multiples within limit"

[f47e8209-c0c5-4786-b07b-dc273bf86b9b]
description = "each multiple is only counted once"

[28c4b267-c980-4054-93e9-07723db615ac]
description = "a much larger limit"

[09c4494d-ff2d-4e0f-8421-f5532821ee12]
description = "three factors"

[2d0d5faa-f177-4ad6-bde9-ebb865083751]
description = "factors not relatively prime"

[ece8f2e8-96aa-4166-bbb7-6ce71261e354]
description = "some pairs of factors relatively prime and some not"

[624fdade-6ffb-400e-8472-456a38c171c0]
description = "one factor is a multiple of another"

[949ee7eb-db51-479c-b5cb-4a22b40ac057]
description = "much larger factors"

[41093673-acbd-482c-ab80-d00a0cbedecd]
description = "all numbers are multiples of 1"

[1730453b-baaa-438e-a9c2-d754497b2a76]
description = "no factors means an empty sum"

[214a01e9-f4bf-45bb-80f1-1dce9fbb0310]
description = "the only multiple of 0 is 0"

[c423ae21-a0cb-4ec7-aeb1-32971af5b510]
description = "the factor 0 does not affect the sum of multiples of other factors"

[17053ba9-112f-4ac0-aadb-0519dd836342]
description = "solutions using include-exclude must extend to cardinality greater than 3"
11 changes: 11 additions & 0 deletions exercises/practice/sum-of-multiples/create_fixture.sql
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DROP TABLE IF EXISTS "sum-of-multiples";
CREATE TABLE "sum-of-multiples" (
factors TEXT NOT NULL, -- json array of integers
"limit" INTEGER NOT NULL,
result INTEGER
);

.mode csv
.import ./data.csv "sum-of-multiples"

UPDATE "sum-of-multiples" SET result = NULL;
35 changes: 35 additions & 0 deletions exercises/practice/sum-of-multiples/create_test_table.sql
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DROP TABLE IF EXISTS tests;
CREATE TABLE IF NOT EXISTS tests (
-- uuid and description are taken from the test.toml file
uuid TEXT PRIMARY KEY,
description TEXT NOT NULL,
-- The following section is needed by the online test-runner
status TEXT DEFAULT 'fail',
message TEXT,
output TEXT,
test_code TEXT,
task_id INTEGER DEFAULT NULL,
-- Here are columns for the actual tests
factors TEXT NOT NULL, -- json array of integers
"limit" INTEGER NOT NULL,
expected INTEGER NOT NULL
);

INSERT INTO tests (uuid, description, factors, "limit", expected)
VALUES
('54aaab5a-ce86-4edc-8b40-d3ab2400a279', 'no multiples within limit', '[3,5]', 1, 0),
('361e4e50-c89b-4f60-95ef-5bc5c595490a', 'one factor has multiples within limit', '[3,5]', 4, 3),
('e644e070-040e-4ae0-9910-93c69fc3f7ce', 'more than one multiple within limit', '[3]', 7, 9),
('607d6eb9-535c-41ce-91b5-3a61da3fa57f', 'more than one factor with multiples within limit', '[3,5]', 10, 23),
('f47e8209-c0c5-4786-b07b-dc273bf86b9b', 'each multiple is only counted once', '[3,5]', 100, 2318),
('28c4b267-c980-4054-93e9-07723db615ac', 'a much larger limit', '[3,5]', 1000, 233168),
('09c4494d-ff2d-4e0f-8421-f5532821ee12', 'three factors', '[7,13,17]', 20, 51),
('2d0d5faa-f177-4ad6-bde9-ebb865083751', 'factors not relatively prime', '[4,6]', 15, 30),
('ece8f2e8-96aa-4166-bbb7-6ce71261e354', 'some pairs of factors relatively prime and some not', '[5,6,8]', 150, 4419),
('624fdade-6ffb-400e-8472-456a38c171c0', 'one factor is a multiple of another', '[5,25]', 51, 275),
('949ee7eb-db51-479c-b5cb-4a22b40ac057', 'much larger factors', '[43,47]', 10000, 2203160),
('41093673-acbd-482c-ab80-d00a0cbedecd', 'all numbers are multiples of 1', '[1]', 100, 4950),
('1730453b-baaa-438e-a9c2-d754497b2a76', 'no factors means an empty sum', '[]', 10000, 0),
('214a01e9-f4bf-45bb-80f1-1dce9fbb0310', 'the only multiple of 0 is 0', '[0]', 1, 0),
('c423ae21-a0cb-4ec7-aeb1-32971af5b510', 'the factor 0 does not affect the sum of multiples of other factors', '[3,0]', 4, 3),
('17053ba9-112f-4ac0-aadb-0519dd836342', 'solutions using include-exclude must extend to cardinality greater than 3', '[2,3,5,7,11]', 10000, 39614537);
16 changes: 16 additions & 0 deletions exercises/practice/sum-of-multiples/data.csv
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"[3,5]",1,
"[3,5]",4,
"[3]",7,
"[3,5]",10,
"[3,5]",100,
"[3,5]",1000,
"[7,13,17]",20,
"[4,6]",15,
"[5,6,8]",150,
"[5,25]",51,
"[43,47]",10000,
"[1]",100,
"[]",10000,
"[0]",1,
"[3,0]",4,
"[2,3,5,7,11]",10000,
8 changes: 8 additions & 0 deletions exercises/practice/sum-of-multiples/sum-of-multiples.sql
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-- Schema:
-- CREATE TABLE "sum-of-multiples" (
-- factors TEXT NOT NULL, -- json array of integers
-- "limit" INTEGER NOT NULL,
-- result INTEGER
-- );
--
-- Task: update the "sum-of-multiples" table and set the result based on the phrase.
40 changes: 40 additions & 0 deletions exercises/practice/sum-of-multiples/sum-of-multiples_test.sql
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-- Create database:
.read ./create_fixture.sql

-- Read user student solution and save any output as markdown in user_output.md:
.mode markdown
.output user_output.md
.read ./sum-of-multiples.sql
.output

-- Create a clean testing environment:
.read ./create_test_table.sql

-- Comparison of user input and the tests updates the status for each test:
UPDATE tests
SET status = 'pass'
FROM (SELECT factors, "limit", result FROM "sum-of-multiples") AS actual
WHERE (actual.factors, actual."limit", actual.result) = (tests.factors, tests."limit", tests.expected);

-- Update message for failed tests to give helpful information:
UPDATE tests
SET message = (
'Result for "'
|| PRINTF('factors=%s, limit=%d', tests.factors, tests."limit")
|| '"'
|| ' is <' || COALESCE(actual.result, 'NULL')
|| '> but should be <' || tests.expected || '>'
)
FROM (SELECT factors, "limit", result FROM "sum-of-multiples") AS actual
WHERE (actual.factors, actual."limit") = (tests.factors, tests."limit") AND tests.status = 'fail';

-- Save results to ./output.json (needed by the online test-runner)
.mode json
.once './output.json'
SELECT description, status, message, output, test_code, task_id
FROM tests;

-- Display test results in readable form for the student:
.mode table
SELECT description, status, message
FROM tests;