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Collatz Conjecture Function Implementation in JavaScript
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/** | |
* 3x + 1 or the Collatz Conjecture is a simple mathematical conjecture | |
* that declares all positive integers will eventually reach a value of 1 | |
* | |
* Inspiration from https://www.youtube.com/watch?v=094y1Z2wpJg | |
* | |
* @author Mark Auger | |
* @social Follow me on GitHub at https://github.com/swimauger | |
* @license | |
* Copyright (c) 2021 Mark Auger | |
* | |
* 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: | |
* | |
* The above copyright notice and this permission notice shall be included in all | |
* copies or substantial portions of the Software. | |
* | |
* 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. | |
* @param {number} x `x` is **The starting number you wish to apply 3x + 1 too** | |
* @param {number[]} sequence `sequence` Do NOT change, sequence is used to store the sequence on each iteration | |
* @return {number[]} | |
**/ | |
function collatz(x, sequence = [ x ]) { | |
if (x % 2) { | |
x = 3*x + 1; | |
} else { | |
x = x/2; | |
} | |
sequence.push(x); | |
if (x === 1) { | |
return sequence; | |
} else { | |
return collatz(x, sequence); | |
} | |
} |
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