# Python Program to get all possible differences between set elements

• Last Updated : 05 Apr, 2021

Given a set, the task is to write a Python program to get all possible differences between its elements.

Input : test_set = {1, 5, 2, 7, 3, 4, 10, 14}
Output : {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
Explanation : All possible differences are computed.

Input : test_set = {1, 5, 2, 7}
Output : {1, 2, 3, 4, 5, 6}
Explanation : All possible differences are computed.

Method #1 : Using combinations() + abs() + loop

In this, all the possible pairs are extracted using combinations(). Then loop is used to traverse and abs() is used to get difference.

## Python3

 # Python3 code to demonstrate working of # All elements difference in Set # Using combinations + abs() + loop from itertools import combinations    # initializing strings set test_set = {1, 5, 2, 7, 3, 4, 10, 14}    # printing original string print("The original set is : " + str(test_set))    # getting combinations combos = combinations(test_set, 2)    res = set()    # adding differences in set for x, y in combos:     res.add(abs(x - y))    # printing result print("All possible differences : " + str(res))

Output:

The original set is : {1, 2, 3, 4, 5, 7, 10, 14}

All possible differences : {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

Method #2 : Using set comprehension + combinations() + abs()

In this, we perform task of getting and setting all elements using set comprehension as one liner approach to solve the problem.

## Python3

 # Python3 code to demonstrate working of # All elements difference in Set # Using set comprehension + combinations() + abs() from itertools import combinations    # initializing strings set test_set = {1, 5, 2, 7, 3, 4, 10, 14}    # printing original string print("The original set is : " + str(test_set))    # set comprehension providing consize solution res = {abs(x - y) for x, y in combinations(test_set, 2)}    # printing result print("All possible differences : " + str(res))

Output:

The original set is : {1, 2, 3, 4, 5, 7, 10, 14}

All possible differences : {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}

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