Skip to content

Commit

Permalink
Add largest-series-product exercise
Browse files Browse the repository at this point in the history
  • Loading branch information
keiravillekode committed May 5, 2024
1 parent 6403973 commit de3d530
Show file tree
Hide file tree
Showing 8 changed files with 233 additions and 0 deletions.
12 changes: 12 additions & 0 deletions config.json
Original file line number Diff line number Diff line change
Expand Up @@ -420,6 +420,18 @@
"strings"
]
},
{
"slug": "largest-series-product",
"name": "Largest Series Product",
"uuid": "91b2ba1a-8995-4c5c-9682-1ef462cbcbf5",
"practices": [],
"prerequisites": [],
"difficulty": 4,
"topics": [
"control_flow_loops",
"strings"
]
},
{
"slug": "affine-cipher",
"name": "Affine Cipher",
Expand Down
26 changes: 26 additions & 0 deletions exercises/practice/largest-series-product/.docs/instructions.md
Original file line number Diff line number Diff line change
@@ -0,0 +1,26 @@
# 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**.
Original file line number Diff line number Diff line change
@@ -0,0 +1,5 @@
# 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.
19 changes: 19 additions & 0 deletions exercises/practice/largest-series-product/.meta/config.json
Original file line number Diff line number Diff line change
@@ -0,0 +1,19 @@
{
"authors": [
"keiravillekode"
],
"files": {
"solution": [
"largest-series-product.el"
],
"test": [
"largest-series-product-test.el"
],
"example": [
".meta/example.el"
]
},
"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"
}
26 changes: 26 additions & 0 deletions exercises/practice/largest-series-product/.meta/example.el
Original file line number Diff line number Diff line change
@@ -0,0 +1,26 @@
;;; largest-series-product.el --- Largest Series Product (exercism) -*- lexical-binding: t; -*-

;;; Commentary:

;;; Code:

(require 'cl-lib)

(defun largest-product (digits span)
(when (< span 0)
(error "span must not be negative"))
(when (> span (length digits))
(error "span must be smaller than string length"))
(unless (cl-every 'cl-digit-char-p (cl-coerce digits 'list))
(error "digits input must only contain digits"))
(let ((largest 0))
(dotimes (i (+ 1 (- (length digits) span)))
(let ((product 1))
(dotimes (j span)
(setq product (* product (cl-digit-char-p (aref digits (+ i j))))))
(when (< largest product)
(setq largest product))))
largest))

(provide 'largest-series-product)
;;; largest-series-product.el ends here
60 changes: 60 additions & 0 deletions exercises/practice/largest-series-product/.meta/tests.toml
Original file line number Diff line number Diff line change
@@ -0,0 +1,60 @@
# 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"
Original file line number Diff line number Diff line change
@@ -0,0 +1,72 @@
;;; largest-series-product-test.el --- Tests for Largest Series Product (exercism) -*- lexical-binding: t; -*-

;;; Commentary:

;;; Code:

(load-file "largest-series-product.el")
(declare-function largest-product "largest-series-product.el" (digits span))


(ert-deftest finds-the-largest-product-if-span-equals-length ()
(should (equal 18 (largest-product "29" 2))))


(ert-deftest can-find-the-largest-product-of-2-with-numbers-in-order ()
(should (equal 72 (largest-product "0123456789" 2))))


(ert-deftest can-find-the-largest-product-of-2 ()
(should (equal 48 (largest-product "576802143" 2))))


(ert-deftest can-find-the-largest-product-of-3-with-numbers-in-order ()
(should (equal 504 (largest-product "0123456789" 3))))


(ert-deftest can-find-the-largest-product-of-3 ()
(should (equal 270 (largest-product "1027839564" 3))))


(ert-deftest can-find-the-largest-product-of-5-with-numbers-in-order ()
(should (equal 15120 (largest-product "0123456789" 5))))


(ert-deftest can-get-the-largest-product-of-a-big-number ()
(should (equal 23520 (largest-product "73167176531330624919225119674426574742355349194934" 6))))


(ert-deftest reports-zero-if-the-only-digits-are-zero ()
(should (equal 0 (largest-product "0000" 2))))


(ert-deftest reports-zero-if-all-spans-include-zero ()
(should (equal 0 (largest-product "99099" 3))))


(ert-deftest rejects-span-longer-than-string-length ()
(should-error (largest-product "123" 4)))


(ert-deftest reports-1-for-empty-string-and-empty-product-zero-span ()
(should (equal 1 (largest-product "" 0))))


(ert-deftest reports-1-for-nonempty-string-and-empty-product-zero-span ()
(should (equal 1 (largest-product "123" 0))))


(ert-deftest rejects-empty-string-and-nonzero-span ()
(should-error (largest-product "" 1)))


(ert-deftest rejects-invalid-character-in-digits ()
(should-error (largest-product "1234a5" 2)))


(ert-deftest rejects-negative-span ()
(should-error (largest-product "12345" -1)))


(provide 'largest-series-product-test)
;;; largest-series-product-test.el ends here
Original file line number Diff line number Diff line change
@@ -0,0 +1,13 @@
;;; largest-series-product.el --- Largest Series Product (exercism) -*- lexical-binding: t; -*-

;;; Commentary:

;;; Code:


(defun largest-product (digits span)
(error "Delete this S-Expression and write your own implementation"))


(provide 'largest-series-product)
;;; largest-series-product.el ends here

0 comments on commit de3d530

Please sign in to comment.