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Implement difference-of-squares in zig
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# Help | ||
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## Running the tests | ||
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Write your code in `<exercise_name>.zig`. | ||
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To run the tests for an exercise, run: | ||
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```bash | ||
zig test test_exercise_name.zig | ||
``` | ||
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in the exercise's root directory (replacing `exercise_name` with the name of the exercise). | ||
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## Submitting your solution | ||
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You can submit your solution using the `exercism submit difference_of_squares.zig` command. | ||
This command will upload your solution to the Exercism website and print the solution page's URL. | ||
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It's possible to submit an incomplete solution which allows you to: | ||
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- See how others have completed the exercise | ||
- Request help from a mentor | ||
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## Need to get help? | ||
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If you'd like help solving the exercise, check the following pages: | ||
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- The [Zig track's documentation](https://exercism.org/docs/tracks/zig) | ||
- The [Zig track's programming category on the forum](https://forum.exercism.org/c/programming/zig) | ||
- [Exercism's programming category on the forum](https://forum.exercism.org/c/programming/5) | ||
- The [Frequently Asked Questions](https://exercism.org/docs/using/faqs) | ||
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Should those resources not suffice, you could submit your (incomplete) solution to request mentoring. | ||
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- [The Zig Programming Language Documentation][documentation] is a great overview of all of the language features that Zig provides to those who use it. | ||
- [Zig Learn][zig-learn] is an excellent primer that explains the language features that Zig has to offer. | ||
- [Ziglings][ziglings] is highly recommended. | ||
Learn Zig by fixing tiny broken programs. | ||
- [The Zig Programming Language Discord][discord-zig] is the main [Discord][discord]. | ||
It provides a great way to get in touch with the Zig community at large, and get some quick, direct help for any Zig related problem. | ||
- [#zig][irc] on irc.freenode.net is the main Zig IRC channel. | ||
- [/r/Zig][reddit] is the main Zig subreddit. | ||
- [Stack Overflow][stack-overflow] can be used to discover code snippets and solutions to problems that may have already asked and maybe solved by others. | ||
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[discord]: https://discordapp.com | ||
[discord-zig]: https://discord.com/invite/gxsFFjE | ||
[documentation]: https://ziglang.org/documentation/master | ||
[irc]: https://webchat.freenode.net/?channels=%23zig | ||
[reddit]: https://www.reddit.com/r/Zig | ||
[stack-overflow]: https://stackoverflow.com/questions/tagged/zig | ||
[zig-learn]: https://ziglearn.org/ | ||
[ziglings]: https://github.com/ratfactor/ziglings |
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# Difference of Squares | ||
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Welcome to Difference of Squares on Exercism's Zig Track. | ||
If you need help running the tests or submitting your code, check out `HELP.md`. | ||
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## Instructions | ||
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Find the difference between the square of the sum and the sum of the squares of the first N natural numbers. | ||
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The square of the sum of the first ten natural numbers is | ||
(1 + 2 + ... + 10)² = 55² = 3025. | ||
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The sum of the squares of the first ten natural numbers is | ||
1² + 2² + ... + 10² = 385. | ||
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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. | ||
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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. | ||
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## Source | ||
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### Created by | ||
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- @massivelivefun | ||
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### Based on | ||
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Problem 6 at Project Euler - https://projecteuler.net/problem=6 |
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pub fn squareOfSum(number: usize) usize { | ||
var sum: usize = 0; | ||
for (1..number + 1) |i| { | ||
sum += i; | ||
} | ||
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sum = sum * sum; | ||
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return sum; | ||
} | ||
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pub fn sumOfSquares(number: usize) usize { | ||
var sum: usize = 0; | ||
for (1..number + 1) |i| { | ||
sum += i * i; | ||
} | ||
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return sum; | ||
} | ||
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pub fn differenceOfSquares(number: usize) usize { | ||
return squareOfSum(number) - sumOfSquares(number); | ||
} |
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const std = @import("std"); | ||
const testing = std.testing; | ||
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const difference_of_squares = @import("difference_of_squares.zig"); | ||
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test "square of sum up to 1" { | ||
const expected: usize = 1; | ||
const actual = difference_of_squares.squareOfSum(1); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "square of sum up to 5" { | ||
const expected: usize = 225; | ||
const actual = difference_of_squares.squareOfSum(5); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "square of sum up to 100" { | ||
const expected: usize = 25_502_500; | ||
const actual = difference_of_squares.squareOfSum(100); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "sum of squares up to 1" { | ||
const expected: usize = 1; | ||
const actual = difference_of_squares.sumOfSquares(1); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "sum of squares up to 5" { | ||
const expected: usize = 55; | ||
const actual = difference_of_squares.sumOfSquares(5); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "sum of squares up to 100" { | ||
const expected: usize = 338_350; | ||
const actual = difference_of_squares.sumOfSquares(100); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "difference of squares up to 1" { | ||
const expected: usize = 0; | ||
const actual = difference_of_squares.differenceOfSquares(1); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "difference of squares up to 5" { | ||
const expected: usize = 170; | ||
const actual = difference_of_squares.differenceOfSquares(5); | ||
try testing.expectEqual(expected, actual); | ||
} | ||
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test "difference of squares up to 100" { | ||
const expected: usize = 25_164_150; | ||
const actual = difference_of_squares.differenceOfSquares(100); | ||
try testing.expectEqual(expected, actual); | ||
} |