Sort the following number using selection sort and give the required steps. 31 27 42 34 76 61 10 4

Q.) Sort the following number using selection sort and give the required steps. 31 27 42 34 76 61 10 4
Subject: data structure

Selection Sort

Steps:

Find the minimum element in the unsorted portion of the list.
Swap the minimum element with the leftmost unsorted element.
Repeat steps 1 and 2 until the entire list is sorted.

Example:

Given the list [31, 27, 42, 34, 76, 61, 10, 4], the following steps are taken:

Find the minimum element in the unsorted portion of the list, which is 4.
Swap the minimum element with the leftmost unsorted element, which is 31:
```
[4, 27, 42, 34, 76, 61, 10, 31]
```
Repeat steps 1 and 2 until the entire list is sorted:
- Find the minimum element in the unsorted portion of the list, which is 10.
- Swap the minimum element with the leftmost unsorted element, which is 27: [4, 10, 42, 34, 76, 61, 27, 31]

Find the minimum element in the unsorted portion of the list, which is 27.
Swap the minimum element with the leftmost unsorted element, which is 42:
```
 [4, 10, 27, 34, 76, 61, 42, 31]
```
Find the minimum element in the unsorted portion of the list, which is 31.
Swap the minimum element with the leftmost unsorted element, which is 34:
```
 [4, 10, 27, 31, 76, 61, 42, 34]
```
Find the minimum element in the unsorted portion of the list, which is 34.
Swap the minimum element with the leftmost unsorted element, which is 61:
```
 [4, 10, 27, 31, 34, 61, 42, 76]
```
Find the minimum element in the unsorted portion of the list, which is 42.
Swap the minimum element with the leftmost unsorted element, which is 76:
```
 [4, 10, 27, 31, 34, 61, 76, 42]
```

The list is now sorted: [4, 10, 27, 31, 34, 42, 61, 76].

Time Complexity:

The time complexity of selection sort is O(n^2), where n is the length of the list. This is because the algorithm iterates through the list twice: once to find the minimum element, and once to swap it with the leftmost unsorted element.

Space Complexity:

The space complexity of selection sort is O(1), as it does not require any additional memory space.