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8 changes: 8 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -250,6 +250,14 @@
"practices": [],
"prerequisites": [],
"difficulty": 2
},
{
"slug": "difference-of-squares",
"name": "Difference of Squares",
"uuid": "1065256b-5263-443f-9f67-28d0fa2e9b93",
"practices": [],
"prerequisites": [],
"difficulty": 2
}
]
},
Expand Down
14 changes: 14 additions & 0 deletions exercises/practice/difference-of-squares/.docs/instructions.md
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# Instructions

Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.

The square of the sum of the first ten natural numbers is
(1 + 2 + ... + 10)² = 55² = 3025.

The sum of the squares of the first ten natural numbers is
1² + 2² + ... + 10² = 385.

Hence the difference between the square of the sum of the first ten natural numbers and the sum of the squares of the first ten natural numbers is 3025 - 385 = 2640.

You are not expected to discover an efficient solution to this yourself from first principles; research is allowed, indeed, encouraged.
Finding the best algorithm for the problem is a key skill in software engineering.
19 changes: 19 additions & 0 deletions exercises/practice/difference-of-squares/.meta/config.json
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{
"authors": [
"IsaacG"
],
"files": {
"solution": [
"difference_of_squares.gd"
],
"test": [
"difference_of_squares_test.gd"
],
"example": [
".meta/example.gd"
]
},
"blurb": "Find the difference between the square of the sum and the sum of the squares of the first N natural numbers.",
"source": "Problem 6 at Project Euler",
"source_url": "https://projecteuler.net/problem=6"
}
16 changes: 16 additions & 0 deletions exercises/practice/difference-of-squares/.meta/example.gd
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func sum_of_squares(num: int) -> int:
var result: int = 0
for i in range(num + 1):
result += i * i
return result


func square_of_sum(num: int) -> int:
var result: int = 0
for i in range(num + 1):
result += i
return result * result


func difference_of_squares(num: int) -> int:
return square_of_sum(num) - sum_of_squares(num)
7 changes: 7 additions & 0 deletions exercises/practice/difference-of-squares/.meta/template.j2
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@@ -0,0 +1,7 @@
{% for case in cases %}
func test_{{ case.func_name }}(solution_script):
var inputs = {{ case.given | togdscript }}
var expected = {{ case.expected | togdscript }}
return [solution_script.{{ case.property | camel_to_snake }}(inputs), expected]

{% endfor %}
37 changes: 37 additions & 0 deletions exercises/practice/difference-of-squares/.meta/tests.toml
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@@ -0,0 +1,37 @@
# 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.

[e46c542b-31fc-4506-bcae-6b62b3268537]
description = "Square the sum of the numbers up to the given number -> square of sum 1"

[9b3f96cb-638d-41ee-99b7-b4f9c0622948]
description = "Square the sum of the numbers up to the given number -> square of sum 5"

[54ba043f-3c35-4d43-86ff-3a41625d5e86]
description = "Square the sum of the numbers up to the given number -> square of sum 100"

[01d84507-b03e-4238-9395-dd61d03074b5]
description = "Sum the squares of the numbers up to the given number -> sum of squares 1"

[c93900cd-8cc2-4ca4-917b-dd3027023499]
description = "Sum the squares of the numbers up to the given number -> sum of squares 5"

[94807386-73e4-4d9e-8dec-69eb135b19e4]
description = "Sum the squares of the numbers up to the given number -> sum of squares 100"

[44f72ae6-31a7-437f-858d-2c0837adabb6]
description = "Subtract sum of squares from square of sums -> difference of squares 1"

[005cb2bf-a0c8-46f3-ae25-924029f8b00b]
description = "Subtract sum of squares from square of sums -> difference of squares 5"

[b1bf19de-9a16-41c0-a62b-1f02ecc0b036]
description = "Subtract sum of squares from square of sums -> difference of squares 100"
10 changes: 10 additions & 0 deletions exercises/practice/difference-of-squares/difference_of_squares.gd
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func sum_of_squares(num: int) -> int:
pass


func square_of_sum(num: int) -> int:
pass


func difference_of_squares(num: int) -> int:
pass
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@@ -0,0 +1,52 @@
func test_square_of_sum_1(solution_script):
var inputs = 1
var expected = 1
return [solution_script.square_of_sum(inputs), expected]


func test_square_of_sum_5(solution_script):
var inputs = 5
var expected = 225
return [solution_script.square_of_sum(inputs), expected]


func test_square_of_sum_100(solution_script):
var inputs = 100
var expected = 25502500
return [solution_script.square_of_sum(inputs), expected]


func test_sum_of_squares_1(solution_script):
var inputs = 1
var expected = 1
return [solution_script.sum_of_squares(inputs), expected]


func test_sum_of_squares_5(solution_script):
var inputs = 5
var expected = 55
return [solution_script.sum_of_squares(inputs), expected]


func test_sum_of_squares_100(solution_script):
var inputs = 100
var expected = 338350
return [solution_script.sum_of_squares(inputs), expected]


func test_difference_of_squares_1(solution_script):
var inputs = 1
var expected = 0
return [solution_script.difference_of_squares(inputs), expected]


func test_difference_of_squares_5(solution_script):
var inputs = 5
var expected = 170
return [solution_script.difference_of_squares(inputs), expected]


func test_difference_of_squares_100(solution_script):
var inputs = 100
var expected = 25164150
return [solution_script.difference_of_squares(inputs), expected]
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