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# Instructions | ||
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Your task is to implement a binary search algorithm. | ||
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A binary search algorithm finds an item in a list by repeatedly splitting it in half, only keeping the half which contains the item we're looking for. | ||
It allows us to quickly narrow down the possible locations of our item until we find it, or until we've eliminated all possible locations. | ||
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~~~~exercism/caution | ||
Binary search only works when a list has been sorted. | ||
~~~~ | ||
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The algorithm looks like this: | ||
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- Find the middle element of a _sorted_ list and compare it with the item we're looking for. | ||
- If the middle element is our item, then we're done! | ||
- If the middle element is greater than our item, we can eliminate that element and all the elements **after** it. | ||
- If the middle element is less than our item, we can eliminate that element and all the elements **before** it. | ||
- If every element of the list has been eliminated then the item is not in the list. | ||
- Otherwise, repeat the process on the part of the list that has not been eliminated. | ||
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Here's an example: | ||
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Let's say we're looking for the number 23 in the following sorted list: `[4, 8, 12, 16, 23, 28, 32]`. | ||
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- We start by comparing 23 with the middle element, 16. | ||
- Since 23 is greater than 16, we can eliminate the left half of the list, leaving us with `[23, 28, 32]`. | ||
- We then compare 23 with the new middle element, 28. | ||
- Since 23 is less than 28, we can eliminate the right half of the list: `[23]`. | ||
- We've found our item. |
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# Introduction | ||
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You have stumbled upon a group of mathematicians who are also singer-songwriters. | ||
They have written a song for each of their favorite numbers, and, as you can imagine, they have a lot of favorite numbers (like [0][zero] or [73][seventy-three] or [6174][kaprekars-constant]). | ||
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You are curious to hear the song for your favorite number, but with so many songs to wade through, finding the right song could take a while. | ||
Fortunately, they have organized their songs in a playlist sorted by the title — which is simply the number that the song is about. | ||
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You realize that you can use a binary search algorithm to quickly find a song given the title. | ||
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[zero]: https://en.wikipedia.org/wiki/0 | ||
[seventy-three]: https://en.wikipedia.org/wiki/73_(number) | ||
[kaprekars-constant]: https://en.wikipedia.org/wiki/6174_(number) |
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{ | ||
"authors": [ | ||
"BNAndras" | ||
], | ||
"files": { | ||
"solution": [ | ||
"binary-search.wren" | ||
], | ||
"test": [ | ||
"binary-search.spec.wren" | ||
], | ||
"example": [ | ||
".meta/proof.ci.wren" | ||
] | ||
}, | ||
"blurb": "Implement a binary search algorithm.", | ||
"source": "Wikipedia", | ||
"source_url": "https://en.wikipedia.org/wiki/Binary_search_algorithm" | ||
} |
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class BinarySearch { | ||
static find(values, target) { | ||
var start = 0 | ||
var stop = values.count - 1 | ||
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while (start <= stop) { | ||
var index = ((start + stop) / 2).truncate | ||
var value = values[index] | ||
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if (value == target) { | ||
return index | ||
} | ||
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if (value < target) { | ||
start = index + 1 | ||
} else { | ||
stop = index - 1 | ||
} | ||
} | ||
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Fiber.abort("value not in list") | ||
} | ||
} |
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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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[b55c24a9-a98d-4379-a08c-2adcf8ebeee8] | ||
description = "finds a value in an array with one element" | ||
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[73469346-b0a0-4011-89bf-989e443d503d] | ||
description = "finds a value in the middle of an array" | ||
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[327bc482-ab85-424e-a724-fb4658e66ddb] | ||
description = "finds a value at the beginning of an array" | ||
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[f9f94b16-fe5e-472c-85ea-c513804c7d59] | ||
description = "finds a value at the end of an array" | ||
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[f0068905-26e3-4342-856d-ad153cadb338] | ||
description = "finds a value in an array of odd length" | ||
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[fc316b12-c8b3-4f5e-9e89-532b3389de8c] | ||
description = "finds a value in an array of even length" | ||
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[da7db20a-354f-49f7-a6a1-650a54998aa6] | ||
description = "identifies that a value is not included in the array" | ||
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[95d869ff-3daf-4c79-b622-6e805c675f97] | ||
description = "a value smaller than the array's smallest value is not found" | ||
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[8b24ef45-6e51-4a94-9eac-c2bf38fdb0ba] | ||
description = "a value larger than the array's largest value is not found" | ||
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[f439a0fa-cf42-4262-8ad1-64bf41ce566a] | ||
description = "nothing is found in an empty array" | ||
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[2c353967-b56d-40b8-acff-ce43115eed64] | ||
description = "nothing is found when the left and right bounds cross" |
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MIT License | ||
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Copyright (c) 2024 Exercism | ||
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Permission is hereby granted, free of charge, to any person obtaining a copy | ||
of this software and associated documentation files (the "Software"), to deal | ||
in the Software without restriction, including without limitation the rights | ||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell | ||
copies of the Software, and to permit persons to whom the Software is | ||
furnished to do so, subject to the following conditions: | ||
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The above copyright notice and this permission notice shall be included in all | ||
copies or substantial portions of the Software. | ||
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THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR | ||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, | ||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE | ||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER | ||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, | ||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE | ||
SOFTWARE. |
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import "./binary-search" for BinarySearch | ||
import "wren-testie/testie" for Testie, Expect | ||
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Testie.test("BinarySearch") { |do, skip| | ||
do.test("finds a value in a list with one element") { | ||
var actual = BinarySearch.find([6], 6) | ||
var expected = 0 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("finds a value in the middle of a list") { | ||
var actual = BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 6) | ||
var expected = 3 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("finds a value at the beginning of a list") { | ||
var actual = BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 1) | ||
var expected = 0 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("finds a value at the end of a list") { | ||
var actual = BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 11) | ||
var expected = 6 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("finds a value in a list of odd length") { | ||
var actual = BinarySearch.find([1, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 634], 144) | ||
var expected = 9 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("finds a value in a list of even length") { | ||
var actual = BinarySearch.find([1, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377], 21) | ||
var expected = 5 | ||
Expect.value(actual).toEqual(expected) | ||
} | ||
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do.skip("identifies that a value is not included in the list") { | ||
Expect.that { | ||
BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 7) | ||
}.abortsWith("value not in list") | ||
} | ||
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do.skip("a value smaller than the list's smallest value is not found") { | ||
Expect.that { | ||
BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 0) | ||
}.abortsWith("value not in list") | ||
} | ||
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do.skip("a value larger than the list's largest value is not found") { | ||
Expect.that { | ||
BinarySearch.find([1, 3, 4, 6, 8, 9, 11], 13) | ||
}.abortsWith("value not in list") | ||
} | ||
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do.skip("nothing is found in an empty list") { | ||
Expect.that { | ||
BinarySearch.find([], 1) | ||
}.abortsWith("value not in list") | ||
} | ||
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do.skip("nothing is found when the left and right bounds cross") { | ||
Expect.that { | ||
BinarySearch.find([1, 2], 0) | ||
}.abortsWith("value not in list") | ||
} | ||
} | ||
|
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class BinarySearch { | ||
static find(values, target) { | ||
Fiber.abort("Remove this statement and implement this function") | ||
} | ||
} |
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import "wren-package" for WrenPackage, Dependency | ||
import "os" for Process | ||
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class Package is WrenPackage { | ||
construct new() {} | ||
name { "exercism/binary-search" } | ||
dependencies { | ||
return [ | ||
Dependency.new("wren-testie", "0.3.0", "https://github.com/joshgoebel/wren-testie.git") | ||
] | ||
} | ||
} | ||
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Package.new().default() |