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Add "Largest series product" exercise #47

Merged
merged 15 commits into from
Jun 27, 2024
7 changes: 7 additions & 0 deletions concepts/error-handling/.meta/config.json
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{
"blurb": "<todo>",
"authors": [
"misicnenad"
],
"contributors": []
}
1 change: 1 addition & 0 deletions concepts/error-handling/about.md
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# Error Handling
1 change: 1 addition & 0 deletions concepts/error-handling/introduction.md
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# Introduction
1 change: 1 addition & 0 deletions concepts/error-handling/links.json
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[]
17 changes: 17 additions & 0 deletions config.json
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],
"prerequisites": [],
"difficulty": 4
},
{
"slug": "largest-series-product",
"name": "Largest Series Product",
"uuid": "d0cae4fa-22a8-4604-9f0f-f90751245ce3",
"practices": [
"enums",
"error-handling",
"control-flow"
],
"prerequisites": [],
"difficulty": 4
}
],
"foregone": [
Expand Down Expand Up @@ -228,6 +240,11 @@
"uuid": "6b6dafdb-7868-4089-855a-eb6735b5de5c",
"slug": "arrays",
"name": "Arrays"
},
{
"uuid": "cf49c14b-ed9a-4df6-a43a-3923e8489900",
"slug": "error-handling",
"name": "Error Handling"
}
],
"key_features": [
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6 changes: 2 additions & 4 deletions exercises/practice/armstrong-numbers/.docs/instructions.md
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# Instructions

An [Armstrong number][armstrong-number] is a number that is the sum of its own
digits each raised to the power of the number of digits.
An [Armstrong number][armstrong-number] is a number that is the sum of its own digits each raised to the power of the number of digits.

For example:

- 9 is an Armstrong number, because `9 = 9^1 = 9`
- 10 is _not_ an Armstrong number, because `10 != 1^2 + 0^2 = 1`
- 153 is an Armstrong number, because: `153 = 1^3 + 5^3 + 3^3 = 1 + 125 + 27 = 153`
- 154 is _not_ an Armstrong number, because:
`154 != 1^3 + 5^3 + 4^3 = 1 + 125 + 64 = 190`
- 154 is _not_ an Armstrong number, because: `154 != 1^3 + 5^3 + 4^3 = 1 + 125 + 64 = 190`

Write some code to determine whether a number is an Armstrong number.

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3 changes: 1 addition & 2 deletions exercises/practice/beer-song/.docs/instructions.md
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# Instructions

Recite the lyrics to that beloved classic, that field-trip favorite: 99 Bottles
of Beer on the Wall.
Recite the lyrics to that beloved classic, that field-trip favorite: 99 Bottles of Beer on the Wall.

Note that not all verses are identical.

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3 changes: 1 addition & 2 deletions exercises/practice/hello-world/.docs/instructions.md
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The classical introductory exercise.
Just say "Hello, World!".

["Hello, World!"][hello-world] is the traditional first program for beginning
programming in a new language or environment.
["Hello, World!"][hello-world] is the traditional first program for beginning programming in a new language or environment.

The objectives are simple:

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26 changes: 26 additions & 0 deletions exercises/practice/largest-series-product/.docs/instructions.md
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# Instructions

Your task is to look for patterns in the long sequence of digits in the encrypted signal.

The technique you're going to use here is called the largest series product.

Let's define a few terms, first.

- **input**: the sequence of digits that you need to analyze
- **series**: a sequence of adjacent digits (those that are next to each other) that is contained within the input
- **span**: how many digits long each series is
- **product**: what you get when you multiply numbers together

Let's work through an example, with the input `"63915"`.

- To form a series, take adjacent digits in the original input.
- If you are working with a span of `3`, there will be three possible series:
- `"639"`
- `"391"`
- `"915"`
- Then we need to calculate the product of each series:
- The product of the series `"639"` is 162 (`6 × 3 × 9 = 162`)
- The product of the series `"391"` is 27 (`3 × 9 × 1 = 27`)
- The product of the series `"915"` is 45 (`9 × 1 × 5 = 45`)
- 162 is bigger than both 27 and 45, so the largest series product of `"63915"` is from the series `"639"`.
So the answer is **162**.
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# Introduction

You work for a government agency that has intercepted a series of encrypted communication signals from a group of bank robbers.
The signals contain a long sequence of digits.
Your team needs to use various digital signal processing techniques to analyze the signals and identify any patterns that may indicate the planning of a heist.
20 changes: 20 additions & 0 deletions exercises/practice/largest-series-product/.meta/config.json
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{
"authors": [
"misicnenad"
],
"files": {
"solution": [
"src/lib.cairo",
"Scarb.toml"
],
"test": [
"src/tests.cairo"
],
"example": [
".meta/example.cairo"
]
},
"blurb": "Given a string of digits, calculate the largest product for a contiguous substring of digits of length n.",
"source": "A variation on Problem 8 at Project Euler",
"source_url": "https://projecteuler.net/problem=8"
}
112 changes: 112 additions & 0 deletions exercises/practice/largest-series-product/.meta/example.cairo
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#[derive(Drop, Debug, PartialEq)]
pub enum Error {
SpanTooLong,
InvalidDigit: u8,
NegativeSpan,
IndexOutOfBounds
}

#[derive(Drop, Copy)]
struct Product {
value: u64,
from: u32,
}

pub fn lsp(input: @ByteArray, span: i32) -> Result<u64, Error> {
// validate span
if span == 0 {
return Result::Ok(1);
}
if span < 0 {
return Result::Err(Error::NegativeSpan);
}

// shadowing to make span of unsigned type
let span: u32 = span.try_into().unwrap();

if span > input.len() {
return Result::Err(Error::SpanTooLong);
}

// calculate first max product
// use '?' to propagate the error if it occurred
let product = product_from(input, span, 0, span, Product { value: 1, from: 0 })?;

next_max_product(input, span, product.value, product)
}

fn product_from(
input: @ByteArray, span: u32, from: u32, remaining: u32, product: Product
) -> Result<Product, Error> {
if remaining == 0 {
return Result::Ok(product);
}
if from + remaining > input.len() {
return Result::Ok(Product { value: 0, from });
}

let digit = input.at(from).try_into_digit()?;
if digit != 0 {
return product_from(
input,
span,
from + 1,
remaining - 1,
Product { value: product.value * digit, from: product.from }
);
} else {
return product_from(input, span, from + 1, span, Product { value: 1, from: from + 1 });
}
}

fn next_max_product(
input: @ByteArray, span: u32, max: u64, current_product: Product
) -> Result<u64, Error> {
if current_product.from + span >= input.len() {
return Result::Ok(max);
}

// safe to unwrap, we already processed this digit before
let reduced_value = current_product.value
/ input.at(current_product.from).try_into_digit().unwrap();

let next_digit = input.at(current_product.from + span).try_into_digit()?;

let product = if next_digit == 0 {
product_from(
input,
span,
current_product.from + span + 1,
span,
Product { value: 1, from: current_product.from + span + 1 }
)?
} else {
Product { value: reduced_value * next_digit, from: current_product.from + 1 }
};

if product.value > max {
next_max_product(input, span, product.value, product)
} else {
next_max_product(input, span, max, product)
}
}

/// Helper functions
#[generate_trait]
impl ByteArrayCharToU64 of ByteArrayCharToU64Trait {
fn try_into_digit(self: @Option<u8>) -> Result<u64, Error> {
if let Option::Some(char) = (*self) {
// ASCII digits are characters 48 through 57
if 48 <= char && char <= 57 {
Result::Ok(char.into() - 48)
} else {
Result::Err(Error::InvalidDigit(char))
}
} else {
Result::Err(Error::IndexOutOfBounds)
}
}
}

#[cfg(test)]
mod tests;
60 changes: 60 additions & 0 deletions exercises/practice/largest-series-product/.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.

[7c82f8b7-e347-48ee-8a22-f672323324d4]
description = "finds the largest product if span equals length"

[88523f65-21ba-4458-a76a-b4aaf6e4cb5e]
description = "can find the largest product of 2 with numbers in order"

[f1376b48-1157-419d-92c2-1d7e36a70b8a]
description = "can find the largest product of 2"

[46356a67-7e02-489e-8fea-321c2fa7b4a4]
description = "can find the largest product of 3 with numbers in order"

[a2dcb54b-2b8f-4993-92dd-5ce56dece64a]
description = "can find the largest product of 3"

[673210a3-33cd-4708-940b-c482d7a88f9d]
description = "can find the largest product of 5 with numbers in order"

[02acd5a6-3bbf-46df-8282-8b313a80a7c9]
description = "can get the largest product of a big number"

[76dcc407-21e9-424c-a98e-609f269622b5]
description = "reports zero if the only digits are zero"

[6ef0df9f-52d4-4a5d-b210-f6fae5f20e19]
description = "reports zero if all spans include zero"

[5d81aaf7-4f67-4125-bf33-11493cc7eab7]
description = "rejects span longer than string length"

[06bc8b90-0c51-4c54-ac22-3ec3893a079e]
description = "reports 1 for empty string and empty product (0 span)"

[3ec0d92e-f2e2-4090-a380-70afee02f4c0]
description = "reports 1 for nonempty string and empty product (0 span)"

[6d96c691-4374-4404-80ee-2ea8f3613dd4]
description = "rejects empty string and nonzero span"

[7a38f2d6-3c35-45f6-8d6f-12e6e32d4d74]
description = "rejects invalid character in digits"

[5fe3c0e5-a945-49f2-b584-f0814b4dd1ef]
description = "rejects negative span"
include = false

[c859f34a-9bfe-4897-9c2f-6d7f8598e7f0]
description = "rejects negative span"
reimplements = "5fe3c0e5-a945-49f2-b584-f0814b4dd1ef"
4 changes: 4 additions & 0 deletions exercises/practice/largest-series-product/Scarb.toml
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[package]
name = "largest_series_product"
version = "0.1.0"
edition = "2023_11"
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