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Add largest-series-product exercise (#153)
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ageron authored Oct 19, 2024
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8 changes: 8 additions & 0 deletions config.json
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"prerequisites": [],
"difficulty": 3
},
{
"slug": "largest-series-product",
"name": "Largest Series Product",
"uuid": "30b8f3f3-ccb1-485f-90b9-d0d81a084167",
"practices": [],
"prerequisites": [],
"difficulty": 3
},
{
"slug": "matching-brackets",
"name": "Matching Brackets",
Expand Down
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.
24 changes: 24 additions & 0 deletions exercises/practice/largest-series-product/.meta/Example.roc
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module [largestProduct]

largestProduct : Str, U64 -> Result U64 [SpanWasTooLarge, InvalidDigit]
largestProduct = \digits, span ->
if span == 0 then
Ok 1
else

chars = digits |> Str.toUtf8
if List.len chars < span then
Err SpanWasTooLarge
else if chars |> List.any \char -> char < '0' || char > '9' then
Err InvalidDigit
else

List.range { start: At 0, end: At (List.len chars - span) }
|> List.map \startIndex ->
chars
|> List.sublist { start: startIndex, len: span }
|> List.walk 1 \product, char ->
product * (char - '0' |> Num.toU64)
|> List.max
|> Result.onErr \ListWasEmpty -> crash "Unreachable: the list cannot be empty here"

19 changes: 19 additions & 0 deletions exercises/practice/largest-series-product/.meta/config.json
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{
"authors": [
"ageron"
],
"files": {
"solution": [
"LargestSeriesProduct.roc"
],
"test": [
"largest-series-product-test.roc"
],
"example": [
".meta/Example.roc"
]
},
"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"
}
19 changes: 19 additions & 0 deletions exercises/practice/largest-series-product/.meta/template.j2
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{%- import "generator_macros.j2" as macros with context -%}
{{ macros.canonical_ref() }}
{{ macros.header() }}

import {{ exercise | to_pascal }} exposing [{{ cases[0]["property"] | to_camel }}]

{% for case in cases -%}
# {{ case["description"] }}
expect
digits = {{ case["input"]["digits"] | to_roc }}
result = digits |> {{ case["property"] | to_camel }} {{ case["input"]["span"] | to_roc }}
{%- if case["expected"]["error"] %}
result |> Result.isErr
{%- else %}
expected = Ok {{ case["expected"] | to_roc }}
result == expected
{%- endif %}

{% endfor %}
61 changes: 61 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"
include = false
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module [largestProduct]

largestProduct : Str, U64 -> Result U64 _
largestProduct = \digits, span ->
crash "Please implement the 'largestProduct' function"
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# These tests are auto-generated with test data from:
# https://github.com/exercism/problem-specifications/tree/main/exercises/largest-series-product/canonical-data.json
# File last updated on 2024-10-13
app [main] {
pf: platform "https://github.com/roc-lang/basic-cli/releases/download/0.15.0/SlwdbJ-3GR7uBWQo6zlmYWNYOxnvo8r6YABXD-45UOw.tar.br",
}

main =
Task.ok {}

import LargestSeriesProduct exposing [largestProduct]

# finds the largest product if span equals length
expect
digits = "29"
result = digits |> largestProduct 2
expected = Ok 18
result == expected

# can find the largest product of 2 with numbers in order
expect
digits = "0123456789"
result = digits |> largestProduct 2
expected = Ok 72
result == expected

# can find the largest product of 2
expect
digits = "576802143"
result = digits |> largestProduct 2
expected = Ok 48
result == expected

# can find the largest product of 3 with numbers in order
expect
digits = "0123456789"
result = digits |> largestProduct 3
expected = Ok 504
result == expected

# can find the largest product of 3
expect
digits = "1027839564"
result = digits |> largestProduct 3
expected = Ok 270
result == expected

# can find the largest product of 5 with numbers in order
expect
digits = "0123456789"
result = digits |> largestProduct 5
expected = Ok 15120
result == expected

# can get the largest product of a big number
expect
digits = "73167176531330624919225119674426574742355349194934"
result = digits |> largestProduct 6
expected = Ok 23520
result == expected

# reports zero if the only digits are zero
expect
digits = "0000"
result = digits |> largestProduct 2
expected = Ok 0
result == expected

# reports zero if all spans include zero
expect
digits = "99099"
result = digits |> largestProduct 3
expected = Ok 0
result == expected

# rejects span longer than string length
expect
digits = "123"
result = digits |> largestProduct 4
result |> Result.isErr

# reports 1 for empty string and empty product (0 span)
expect
digits = ""
result = digits |> largestProduct 0
expected = Ok 1
result == expected

# reports 1 for nonempty string and empty product (0 span)
expect
digits = "123"
result = digits |> largestProduct 0
expected = Ok 1
result == expected

# rejects empty string and nonzero span
expect
digits = ""
result = digits |> largestProduct 1
result |> Result.isErr

# rejects invalid character in digits
expect
digits = "1234a5"
result = digits |> largestProduct 2
result |> Result.isErr

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