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exercises/practice/largest-series-product/.docs/instructions.md
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# Instructions | ||
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Your task is to look for patterns in the long sequence of digits in the encrypted signal. | ||
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The technique you're going to use here is called the largest series product. | ||
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Let's define a few terms, first. | ||
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- **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 | ||
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Let's work through an example, with the input `"63915"`. | ||
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- 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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exercises/practice/largest-series-product/.docs/introduction.md
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# Introduction | ||
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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. |
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exercises/practice/largest-series-product/.meta/config.json
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{ | ||
"authors": [ | ||
"erikschierboom" | ||
], | ||
"files": { | ||
"solution": [ | ||
"largest-series-product.ua" | ||
], | ||
"test": [ | ||
"tests.ua" | ||
], | ||
"example": [ | ||
".meta/example.ua" | ||
] | ||
}, | ||
"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" | ||
} |
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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. | ||
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[7c82f8b7-e347-48ee-8a22-f672323324d4] | ||
description = "finds the largest product if span equals length" | ||
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[88523f65-21ba-4458-a76a-b4aaf6e4cb5e] | ||
description = "can find the largest product of 2 with numbers in order" | ||
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[f1376b48-1157-419d-92c2-1d7e36a70b8a] | ||
description = "can find the largest product of 2" | ||
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[46356a67-7e02-489e-8fea-321c2fa7b4a4] | ||
description = "can find the largest product of 3 with numbers in order" | ||
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[a2dcb54b-2b8f-4993-92dd-5ce56dece64a] | ||
description = "can find the largest product of 3" | ||
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[673210a3-33cd-4708-940b-c482d7a88f9d] | ||
description = "can find the largest product of 5 with numbers in order" | ||
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[02acd5a6-3bbf-46df-8282-8b313a80a7c9] | ||
description = "can get the largest product of a big number" | ||
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[76dcc407-21e9-424c-a98e-609f269622b5] | ||
description = "reports zero if the only digits are zero" | ||
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[6ef0df9f-52d4-4a5d-b210-f6fae5f20e19] | ||
description = "reports zero if all spans include zero" | ||
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[5d81aaf7-4f67-4125-bf33-11493cc7eab7] | ||
description = "rejects span longer than string length" | ||
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[06bc8b90-0c51-4c54-ac22-3ec3893a079e] | ||
description = "reports 1 for empty string and empty product (0 span)" | ||
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[3ec0d92e-f2e2-4090-a380-70afee02f4c0] | ||
description = "reports 1 for nonempty string and empty product (0 span)" | ||
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[6d96c691-4374-4404-80ee-2ea8f3613dd4] | ||
description = "rejects empty string and nonzero span" | ||
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[7a38f2d6-3c35-45f6-8d6f-12e6e32d4d74] | ||
description = "rejects invalid character in digits" | ||
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[5fe3c0e5-a945-49f2-b584-f0814b4dd1ef] | ||
description = "rejects negative span" | ||
include = false | ||
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[c859f34a-9bfe-4897-9c2f-6d7f8598e7f0] | ||
description = "rejects negative span" | ||
reimplements = "5fe3c0e5-a945-49f2-b584-f0814b4dd1ef" |
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exercises/practice/largest-series-product/largest-series-product.ua
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LargestProduct ← |2 /↥ ≡/× ◫ :- @0 ⍤ "span must be smaller than string length" ◡(≤⧻) |
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~ "largest-series-product.ua" ~ LargestProduct | ||
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⍤⤙≍ 18 LargestProduct "29" 2 # finds the largest product if span equals length | ||
⍤⤙≍ 72 LargestProduct "0123456789" 2 # can find the largest product of 2 with numbers in order | ||
⍤⤙≍ 48 LargestProduct "576802143" 2 # can find the largest product of 2 | ||
⍤⤙≍ 504 LargestProduct "0123456789" 3 # can find the largest product of 3 with numbers in order | ||
⍤⤙≍ 270 LargestProduct "1027839564" 3 # can find the largest product of 3 | ||
⍤⤙≍ 15120 LargestProduct "0123456789" 5 # can find the largest product of 5 with numbers in order | ||
⍤⤙≍ 23520 LargestProduct "73167176531330624919225119674426574742355349194934" 6 # can get the largest product of a big number | ||
⍤⤙≍ 0 LargestProduct "0000" 2 # reports zero if the only digits are zero | ||
⍤⤙≍ 0 LargestProduct "99099" 3 # reports zero if all spans include zero | ||
⍤⤙≍ "span must be smaller than string length" ⍣(LargestProduct "123" 4) # rejects span longer than string length |