Determining the optimal number of rows and columns based on an integer value

Here's a brain teaser for you:

/**
 * Let's figure out the optimal number of rows and columns for your garden to be as square as possible, based on the number of seeds you have.
 *
 * @param {number} seedCount - The total number of seeds in your packet.
 * @return {array} - An array representing the required rows and columns for your grid layout (e.g. [4, 5] equals a 4-row by 5-column grid)
*/
function grid(seedCount) {

  // Your code goes here

}

This isn't a programming assignment, just a fun challenge from one of those coding platforms that has left me scratching my head. I might be overcomplicating things, so any insights would be greatly appreciated...

UPDATE: Initial attempt (No luck)

function grid(seedCount) {
    /* Insert your ingenious solution here! */
    var num1 = Math.sqrt(seedCount)
    num1 = Math.round(num1)

    while(seedCount % num1 != 0){
        num1++

    }

    num2 = seedCount / num1
    var Arr = [num1,num2]
    return Arr 
}

Answer №1

Let's start by considering the limitations of this particular scenario:

  • The garden must have the capacity for 1 seed in each square.
  • The garden should be compact to minimize wasted space.
  • The garden shape should closely resemble a perfect square.

Based on these constraints, we can derive 3 key concepts:

  • Number of seeds ≤ length × width
  • |length × width - seedCount| should approach 0
  • |length - width| should also approach 0

Following our third constraint, we can calculate the length by taking the square root of the seed count and rounding up to the nearest integer:

const length = Math.ceil(Math.sqrt(seedCount))

Once we know the length, we can determine the width by dividing the seed count by the length. If this results in a non-integer value, rounding up will give us the width:

const width = Math.ceil(seedCount / length)

Now that we have our dimensions, we simply need to organize them into an array and return the values!

const gridCount = seedCount =>
{
    const length = Math.ceil(Math.sqrt(seedCount))
    const width = Math.ceil(seedCount / length)
    return [length, width]
}

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