Is there a way to identify a number within the range (from 1 to a specified number) that, when broken down into prime numbers, has the highest quantity?
For Example:
Input: 9
Output: 8
Explanation:
Breaking down 8 gives us 2 * 2 * 2 (3 primes)
7 = 7 * 1 (1 prime)
6 = 3 * 2 (2 primes)
and so on... Ultimately, we find that 8 has the most primes in its decomposition.
Requirement:
If multiple numbers have the same number of primes in their decomposition, return the largest of those numbers.
Understood your request clearly.
Below is a straightforward script that accomplishes what you asked for:
//credit to: https://jsfiddle.net/JamesOR/RC7SY/
function getAllFactorsFor(remainder) {
var factors = [], i;
for (i = 2; i <= remainder; i++) {
while ((remainder % i) === 0) {
factors.push(i);
remainder /= i;
}
}
return factors;
}
function calculate(x) {
lastFactorCount = 0;
highestNumber = 0;
while (x) {
currentCount = getAllFactorsFor(x).length;
if (currentCount > lastFactorCount) {
lastFactorCount = currentCount;
highestNumber = x;
}
x--;
}
return highestNumber;
}
console.log(calculate(7)); //output: 6
console.log(calculate(11)) //output: 8
This code works for the given test cases provided. I used the getAllFactorsFor() function from an existing jsfiddle as there's no need to start from scratch ;)
The calculate() function takes an input number, iterates through each number from x down to 0, counts its factors, and stores the number with the most factors count while reducing x in each iteration.
In the end, it returns the number with the highest factor count. Simple as that.
Hope this solution proves beneficial!
It is important to note that after the numbers 2 and 3, the next prime number is 5, which is obviously larger than 2 multiplied by 2. This means that using 2 multiplied by 2 will always result in a better amount of prime factors than using any higher prime number. The formula for finding the number with the highest amount of 2 as prime factors, while still being lower or equal to the given number, can be represented as 2 ** Math.floor(Math.log2(num)). The only consideration we need to make is whether replacing the last prime factor 2 with a 3 would exceed the number, potentially resulting in a larger number. Keep in mind that using more than one 3 (such as 3 multiplied by 3) would lead to a solution that surpasses 8 (which equals 2 multiplied by 2 multiplied by 2). Therefore, the optimal solution is determined by the following function:
const f = num => {
let twoEnd = 2 ** Math.floor(Math.log2(num));
let threeEnd = twoEnd / 2 * 3;
return threeEnd <= num ? threeEnd : twoEnd;
}
In certain circumstances, additional precautions may need to be taken for numbers smaller than 2.
Is there a way to create a link that will add a query parameter to the current URL instead of replacing all existing ones? Here's what I'm looking for: If the current URL in the browser is example.com/index.html, clicking on it should lead to ...
I have set up a basic Example Component which is bound to a Vue Instance as shown below: <template> <div class="container-fluid"> <div class="row"> <div class="col-md-8 col-md-offset-2"> < ...
Why does Apple first create a ContiguousArray, fill it to the specified initialCapacity, and then check if everything is filled before converting the result to an Array? Could they instead just create an Array from the start and fill it as they iterate th ...
On my registration form, users have the option to select an avatar from 2 choices: Select a default avatar Upload their own custom avatar This is how I have implemented it in my HTML page. <img id="preview" src="img/default_1.png"> The chosen av ...
I am looking to find a way to submit the information in the inputbox by either pressing the Enter key or clicking the mouse. Currently, when manually changing focus using the tab key or clicking with the mouse, the information is submitted. This is achiev ...
I currently have three boxes in my HTML template that are meant to calculate and display various values. The first box is calculating a score, the second box represents the total amount of points possible, and the third box is supposed to show the percenta ...
Is it possible to programmatically insert a modal component in Vue? For instance: Vue.component('modal', {...}) Then, in any component, is there a way to do something like this: Vue.component('login', { methods: { openLoginM ...
As a newcomer to nodejs, I am facing an issue with passing JSON data from a select query to the Jade view. Using Node.js Tools for Visual Studio and Express + Jade in my project, here is a snippet from my index.js file: exports.products = function (req, r ...
I'm a newcomer to the node ecosystem and the npm package system. In my redux/react web app, I currently make use of the photoswipe package alongside react-photoswipe. Recently, I decided to extend the functionality of the photoswipe package by making ...
In an if statement, I want to verify whether the given string contains any punctuation. If it does contain punctuation marks, I intend to display a pop-up alert message. if((/*regex presumably*/.test(rspace))==true||(/*regex presumably*/.test(sspace))==tr ...
public void actionPerformed(java.awt.event.ActionEvent evt) { Connection cn = null; Object source = evt.getSource(); JFileChooser filechooser= new JFileChooser(); filechooser.setDialogTitle("Choose Your File"); filechooser.setFileSel ...
I'm currently working on implementing a JavaScript code to automatically scroll to the bottom of a div after an AJAX request is made. However, I've encountered an issue where I am unable to scroll back up because my JavaScript is constantly check ...
I'm working on a straightforward project where users visit links like: localhost:3000/course/[id]. Once they click join, the URL will transform to localhost:3000/course/[id]/routeName. How can I organize folders like that within pages? Thank you in ad ...
I am working with an array of objects called c, which looks like this: c = [ { name: 'abc', category: 'cat1', profitc: 'profit1', costc: 'cost1' }, { name: 'xyz', catego ...
Here's a form with 10 JQuery UI date pickers set up: $(function() { $("#datepicker").datepicker({ minDate: 'today', maxDate: "+90D", showOn: "button", buttonImage: "images/calendar-new2.jpg", buttonImageOnly: true, dateFormat: "D, dd M, yy" ...
I am looking to implement a progress bar for uploading files utilizing jquery and ajax. Here is the jquery code I have written: function updateProgress(evt) { // evt is an ProgressEvent. if (evt.lengthComputable) { var percentLoaded = ...
I'm working with a 2D array shown below: 255 255 255 255 255 255 128 128 128 255 255 128 255 255 255 255 128 128 128 255 255 255 255 255 255 The values above correspond to the RGB values of an image (R = G = B, representing a greyscale image). Speci ...
Currently, I have an array of sphere meshes and I am looking for a way to position them in a level. The meshes are currently set in a specific position (in the shape of a skeleton), but I would like to move the entire array and place it in a different loca ...
I'm working on creating a system where users can write lengthy posts, but I'm facing an issue with transferring long strings through AJAX. I keep getting an error message saying the link is too large. To work around this, I started dividing the s ...
I'm struggling to pass values to my function and make it run when I press the ENTER KEY in PHP The function I'm dealing with is called update() Below is the PHP code snippet: echo '<input type="text" size="23" id= n'.$row["Cont ...