# Python Program to Find K’th Smallest/Largest Element in Unsorted Array or List

Given a list, the task is to find Kth’s Smallest and largest element in the given Unsorted list in Python.

Examples:

Example1:

Input:

Given List =[19, 24, 25, 36, 81, 144, 600, 900, 225, 4, 9, 1, 16, 49, 23, 49, 25, 10, 25]
Given k=6

Output:

The given list before sorting is [19, 24, 25, 36, 81, 144, 600, 900, 225, 4, 9, 1, 16, 49, 23, 49, 25, 10, 25]
The given list after sorting is [1, 4, 9, 10, 16, 19, 23, 24, 25, 25, 25, 36, 49, 49, 81, 144, 225, 600, 900]
The 6 th smallest element in the given list is [ 19 ]
The 6 th largest element in the given list is [ 49 ]

Example2:

Input:

Given list = [8, 45, 29, 19, 75, 68, 42, 13, 7, 9, 6, 4, 5, 96, 97, 91, 49, 72]
Given K =3

Output:

The given list before sorting is [8, 45, 29, 19, 75, 68, 42, 13, 7, 9, 6, 4, 5, 96, 97, 91, 49, 72]
The given list after sorting is [4, 5, 6, 7, 8, 9, 13, 19, 29, 42, 45, 49, 68, 72, 75, 91, 96, 97]
The 3 th smallest element in the given list is [ 6 ]
The 3 th largest element in the given list is [ 91 ]

## Program to Find K’th Smallest/Largest Element in Unsorted Array or List in Python

Below are the ways to find Kth’s Smallest and largest element in the given Unsorted list in Python.

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### Method #1: Using Sorting (Static Input)

Approach:

• Give the list as static input and store it in a variable.
• Give the value of K as static input and store it in a variable.
• Sort the given list using the sort() function which sorts the given list in ascending order.
• We can get the Kth smallest element in the given list by printing the k-1 index element in this sorted list.
• We can get the Kth largest element in the given list by printing the -k index element in this sorted list( ‘-‘ refers to negative indexing).
• The Exit of the program.

Below is the implementation:

# Give the list as static input and store it in a variable.
gvnlst = [19, 24, 25, 36, 81, 144, 600, 900,
225, 4, 9, 1, 16, 49, 23, 49, 25, 10, 25]
print('The given list before sorting is', gvnlst)
# Give the value of K as static input and store it in a variable.
kth = 6
# Sort the given list using the sort() function
# which sorts the given list in ascending order.
gvnlst.sort()
print('The given list after sorting is', gvnlst)
# We can get the Kth smallest element in the given list
# by printing the k-1 index element in this sorted list.
print('The', kth,
'th smallest element in the given list is [', gvnlst[kth-1], ']')
# We can get the Kth largest element in the given list
# by printing the -k index element in this sorted list
# ( '-' refers to negative indexing).
print('The', kth,
'th largest element in the given list is [', gvnlst[-kth], ']')


Output:

The given list before sorting is [19, 24, 25, 36, 81, 144, 600, 900, 225, 4, 9, 1, 16, 49, 23, 49, 25, 10, 25]
The given list after sorting is [1, 4, 9, 10, 16, 19, 23, 24, 25, 25, 25, 36, 49, 49, 81, 144, 225, 600, 900]
The 6 th smallest element in the given list is [ 19 ]
The 6 th largest element in the given list is [ 49 ]

### Method #2: Using Sorting (User Input)

Approach:

• Give the list as user input using list(),map(),input(),and split() functions.
• Store it in a variable.
• Give the value of K as user input and store it in a variable.
• Sort the given list using the sort() function which sorts the given list in ascending order.
• We can get the Kth smallest element in the given list by printing the k-1 index element in this sorted list.
• We can get the Kth largest element in the given list by printing the -k index element in this sorted list( ‘-‘ refers to negative indexing).
• The Exit of the program.

Below is the implementation:

# Give the list as user input using list(),map(),input(),and split() functions.
# Store it in a variable.
gvnlst = list(map(int, input(
'Enter some random List Elements separated by spaces = ').split()))
# Give the value of K as user input and store it in a variable.
kth = int(input('Enter some random Kth Number = '))

print('The given list before sorting is', gvnlst)
# Sort the given list using the sort() function
# which sorts the given list in ascending order.
gvnlst.sort()
print('The given list after sorting is', gvnlst)
# We can get the Kth smallest element in the given list
# by printing the k-1 index element in this sorted list.
print('The', kth,
'th smallest element in the given list is [', gvnlst[kth-1], ']')
# We can get the Kth largest element in the given list
# by printing the -k index element in this sorted list
# ( '-' refers to negative indexing).
print('The', kth,
'th largest element in the given list is [', gvnlst[-kth], ']')


Output:

Enter some random List Elements separated by spaces = 8 45 29 19 75 68 42 13 7 9 6 4 5 96 97 91 49 72
Enter some random Kth Number = 3
The given list before sorting is [8, 45, 29, 19, 75, 68, 42, 13, 7, 9, 6, 4, 5, 96, 97, 91, 49, 72]
The given list after sorting is [4, 5, 6, 7, 8, 9, 13, 19, 29, 42, 45, 49, 68, 72, 75, 91, 96, 97]
The 3 th smallest element in the given list is [ 6 ]
The 3 th largest element in the given list is [ 91 ]

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