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Python List Comprehension | Sort even-placed elements in increasing and odd-placed in decreasing order

Last Updated : 22 Feb, 2023
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We are given an array of n distinct numbers, the task is to sort all even-placed numbers in increasing and odd-place numbers in decreasing order. The modified array should contain all sorted even-placed numbers followed by reverse sorted odd-placed numbers. Note that the first element is considered as even because of its index 0. Examples:

Input:  arr[] = {0, 1, 2, 3, 4, 5, 6, 7}
Output: arr[] = {0, 2, 4, 6, 7, 5, 3, 1}
Even-place elements : 0, 2, 4, 6
Odd-place elements : 1, 3, 5, 7
Even-place elements in increasing order : 
0, 2, 4, 6
Odd-Place elements in decreasing order : 
7, 5, 3, 1

Input: arr[] = {3, 1, 2, 4, 5, 9, 13, 14, 12}
Output: {2, 3, 5, 12, 13, 14, 9, 4, 1}
Even-place elements : 3, 2, 5, 13, 12
Odd-place elements : 1, 4, 9, 14
Even-place elements in increasing order : 
2, 3, 5, 12, 13
Odd-Place elements in decreasing order : 
14, 9, 4, 1

We have existing solution for this problem please refer Sort even-placed elements in increasing and odd-placed in decreasing order link. We can solve this problem in python quickly using List Comprehension. Approach is very simple,

  1. Separate original list into two parts, one contains all even indexed elements and one contains all odd indexed elements.
  2. Now sort list containing all even indexed elements in ascending order and list containing all odd indexed elements in descending order. Now concatenate both of them.

Python3




# Function to Sort even-placed elements
# in increasing and odd-placed in decreasing
# order
 
def evenOddSort(input):
 
     # separate even odd indexed elements list
     evens = [ input[i] for i in range(0,len(input)) if i%2==0 ]
     odds = [ input[i] for i in range(0,len(input)) if i%2!=0 ]
 
     # sort evens in ascending and odds in
     # descending using sorted() method
     print (sorted(evens) + sorted(odds,reverse=True))
 
# Driver program
if __name__ == "__main__":
    input = [0, 1, 2, 3, 4, 5, 6, 7]
    evenOddSort(input)


Output:

[0, 2, 4, 6, 7, 5, 3, 1]

Time complexity: O(n log n)

Auxiliary space: O(n)


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