/* The selection sort algorithm sorts an array by repeatedly finding the minimum element
*(considering ascending order) from unsorted part and putting it at the beginning. The
*algorithm maintains two subarrays in a given array.
*1) The subarray which is already sorted.
*2) Remaining subarray which is unsorted.
*
*In every iteration of selection sort, the minimum element (considering ascending order)
*from the unsorted subarray is picked and moved to the sorted subarray.
*/
export const selectionSort = (list) => {
if (!Array.isArray(list)) {
throw new TypeError('Given input is not an array')
}
const items = [...list] // We don't want to modify the original array
const length = items.length
for (let i = 0; i < length - 1; i++) {
if (typeof items[i] !== 'number') {
throw new TypeError('One of the items in your array is not a number')
}
// Number of passes
let min = i // min holds the current minimum number position for each pass; i holds the Initial min number
for (let j = i + 1; j < length; j++) {
// Note that j = i + 1 as we only need to go through unsorted array
if (items[j] < items[min]) {
// Compare the numbers
min = j // Change the current min number position if a smaller num is found
}
}
if (min !== i) {
// After each pass, if the current min num != initial min num, exchange the position.
// Swap the numbers
;[items[i], items[min]] = [items[min], items[i]]
}
}
return items
}
Given an unsorted array of n elements, write a function to sort the array
O(n^2) Worst case performance
O(n^2) Best-case performance
O(n^2) Average performance
O(1) Worst case
arr[] = {80, 10, 40, 30}
Indexes: 0 1 2 3
1. Index = 0
Select the minimum number from the array (between index 0-3), ie, 10
2. Swap 10 and 80 (arr[0])
3. The array now is {10, 80, 40, 30}
4. Index = 1
Select the minimum number from the array (between index 1-3), ie, 30
5. Swap 30 and 80 (arr[1])
6. The array now is {10, 30, 40, 80}
7. Index = 2
Select the minimum number from the array (between index 2-3), ie, 40
8. Swap 40 and 40 (arr[2])
9. The array now is {10, 30, 40, 80}
The array is now sorted.
A video explaining the Selection Sort Algorithm