Insertion Sort - Part 2 Solution

Insertion Sort - Part 2 Solution

In Insertion Sort Part 1, you inserted one element into an array at its correct sorted position. Using the same approach repeatedly, can you sort an entire array?

Guideline: You already can place an element into a sorted array. How can you use that code to build up a sorted array, one element at a time? Note that in the first step, when you consider an array with just the first element, it is already sorted since there's nothing to compare it to.

In this challenge, print the array after each iteration of the insertion sort, i.e., whenever the next element has been inserted at its correct position. Since the array composed of just the first element is already sorted, begin printing after placing the second element.

For example, there are  elements in . Working from left to right, we get the following output:3 4 7 5 6 2 1 3 4 7 5 6 2 1 3 4 5 7 6 2 1 3 4 5 6 7 2 1 2 3 4 5 6 7 1 1 2 3 4 5 6 7

Function Description

Complete the insertionSort2 function in the editor below. At each iteration, it should print the array as space-separated integers on a separate line.

insertionSort2 has the following parameter(s):

  • n: an integer representing the length of the array
  • arr: an array of integers

Input Format

The first line contains an integer, , the size of .
The next line contains  space-separated integers .

Constraints


Output Format

On each line, output the entire array at every iteration.

Sample Input

6
1 4 3 5 6 2

Sample Output

1 4 3 5 6 2 
1 3 4 5 6 2 
1 3 4 5 6 2 
1 3 4 5 6 2 
1 2 3 4 5 6 

Explanation

Skip testing  against itself at position . It is sorted.
Test position  against position : , no more to check, no change.
Print
Test position  against positions  and :

  • , new position may be . Keep checking.
  • , so insert  at position  and move others to the right.

Print arr
Test position 3 against positions  (as necessary): no change.
Print arr
Test position 4 against positions : no change.
Print arr
Test position 5 against positions , insert  at position  and move others to the right.
Print arr

Solution in Python

def insertionSort1(n, arr):
    for n in range(1,n):
        i = arr[n]
        while n>0:
            if i > arr[n-1]:
                arr[n] = i
                print(*arr)
                break
            else:
                arr[n] =arr[n-1]
            n-=1
        else:
            arr[0] = i
            print(*arr)
        
n = int(input())
arr = list(map(int,input().split()))
insertionSort1(n, arr)

Subscribe to The Poor Coder | Algorithm Solutions

Don’t miss out on the latest issues. Sign up now to get access to the library of members-only issues.
[email protected]
Subscribe