# Python – Split list into all possible tuple pairs

Given a list, the task is to write a python program that can split it into all possible tuple pairs combinations.

Input : test_list = [4, 7, 5, 1, 9]

Output : [[4, 7, 5, 1, 9], [4, 7, 5, (1, 9)], [4, 7, (5, 1), 9], [4, 7, (5, 9), 1], [4, (7, 5), 1, 9], [4, (7, 5), (1, 9)], [4, (7, 1), 5, 9], [4, (7, 1), (5, 9)], [4, (7, 9), 5, 1], [4, (7, 9), (5, 1)], [(4, 7), 5, 1, 9], [(4, 7), 5, (1, 9)], [(4, 7), (5, 1), 9], [(4, 7), (5, 9), 1], [(4, 5), 7, 1, 9], [(4, 5), 7, (1, 9)], [(4, 5), (7, 1), 9], [(4, 5), (7, 9), 1], [(4, 1), 7, 5, 9], [(4, 1), 7, (5, 9)], [(4, 1), (7, 5), 9], [(4, 1), (7, 9), 5], [(4, 9), 7, 5, 1], [(4, 9), 7, (5, 1)], [(4, 9), (7, 5), 1], [(4, 9), (7, 1), 5]]

Explanation : All pairs partitions are formed.

Input : test_list = [4, 7, 5, 1]

Output : [[4, 7, 5, 1], [4, 7, (5, 1)], [4, (7, 5), 1], [4, (7, 1), 5], [(4, 7), 5, 1], [(4, 7), (5, 1)], [(4, 5), 7, 1], [(4, 5), (7, 1)], [(4, 1), 7, 5], [(4, 1), (7, 5)]]

Explanation : All pairs partitions are formed.

Approach: Using slicing and recursion

In this, we perform all pair creation from 1st element, and using recursion multiple elements are converted into pairs by appropriate partitioning.

## Python3

 `def` `pairings(test_list):``    ``if` `len``(test_list) <``=` `1``:``        ``return` `[test_list]` `    ``# keeping 1st element and attaching every element with it``    ``parts ``=` `[[test_list[``0``]] ``+` `ele ``for` `ele ``in` `pairings(test_list[``1``:])]``    ``for` `idx ``in` `range``(``1``, ``len``(test_list)):` `        ``# pairing all possible from second element``        ``parts.extend([[(test_list[``0``], test_list[idx])] ``+``                      ``ele ``for` `ele ``in` `pairings(test_list[``1``: idx]``                                              ``+` `test_list[idx ``+` `1``:])])` `    ``return` `parts`  `# initializing list``test_list ``=` `[``4``, ``7``, ``5``, ``1``]` `# printing original list``print``(``"The original list is : "` `+` `str``(test_list))` `# calling util. function``res ``=` `pairings(test_list)` `# printing result``print``(``"Created partitions : "` `+` `str``(res))`

Output:

The original list is : [4, 7, 5, 1]

Created partitions : [[4, 7, 5, 1], [4, 7, (5, 1)], [4, (7, 5), 1], [4, (7, 1), 5], [(4, 7), 5, 1], [(4, 7), (5, 1)], [(4, 5), 7, 1], [(4, 5), (7, 1)], [(4, 1), 7, 5], [(4, 1), (7, 5)]]

Time Complexity: O(n)
Auxiliary Space: O(n)

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