Merge Sort

mergeSort.js

// Split the array into halves and merge them recursively 
function mergeSort (arr) {
  if (arr.length === 1) {
    // return once we hit an array with a single item
    return arr
  }

  const middle = Math.floor(arr.length / 2) // get the middle item of the array rounded down
  const left = arr.slice(0, middle) // items on the left side
  const right = arr.slice(middle) // items on the right side

  return merge(
    mergeSort(left),
    mergeSort(right)
  )
}

// compare the arrays item by item and return the concatenated result
function merge (left, right) {
  let result = []
  let indexLeft = 0
  let indexRight = 0

  while (indexLeft < left.length && indexRight < right.length) {
    if (left[indexLeft] < right[indexRight]) {
      result.push(left[indexLeft])
      indexLeft++
    } else {
      result.push(right[indexRight])
      indexRight++
    }
  }

  return result.concat(left.slice(indexLeft)).concat(right.slice(indexRight))
}

const list = [2, 5, 1, 3, 7, 2, 3, 8, 6, 3]
console.log(mergeSort(list)) // [ 1, 2, 2, 3, 3, 3, 5, 6, 7, 8 ]