# Python | Maximum absolute difference list of list

This particular article focuses on a problem that has utility in competitive as well as day-day programming. Sometimes, we need to get the maximum difference between the like indices when compared with the next list. The maximum difference between the like elements in that index is returned. Let’s discuss certain ways in which this task can be performed.

Method #1 : Using `max() + abs() + zip()` + list comprehension
This particular problem can also be solved using the combination of the above 4 operations. Here zip function does the dual task of pairing the list and also pairing the like indices for difference, to be computed by `abs `function and then maximum is found using `max `function, all bounded by list comprehension.

 `# Python3 code to demonstrate ` `# Maximum absolute difference list of list ` `# using max() + abs() + zip() + list comprehension ` ` `  `# initializing list  ` `test_list ``=` `[[``3``, ``4``, ``5``], [``4``, ``6``, ``8``], [``1``, ``9``, ``2``], [``3``, ``7``, ``10``]] ` ` `  `# printing original list  ` `print``(``"The original list : "` `+` `str``(test_list)) ` ` `  `# using max() + abs() + zip() + list comprehension ` `# Maximum absolute difference list of list ` `res ``=` `[``max``(``abs``(i ``-` `j) ``for` `i, j ``in` `zip``(``*``ele)) ` `       ``for` `ele ``in` `zip``(test_list, test_list[``1``:])] ` ` `  `# print result ` `print``(``"The maximum difference sublist : "` `+` `str``(res)) `

Output :

```The original list : [[3, 4, 5], [4, 6, 8], [1, 9, 2], [3, 7, 10]]
The maximum difference sublist : [3, 6, 8]
```

Method #2 : Using `max() + map() + abs + zip()`
This task can also be achieved using the combination of above functions, the addition is map function that performs the task of binding of abs operation to the whole list.

 `# Python3 code to demonstrate ` `# Maximum absolute difference list of list ` `# using max() + map() + abs + zip() ` ` `  `# initializing list  ` `test_list ``=` `[[``3``, ``4``, ``5``], [``4``, ``6``, ``8``], [``1``, ``9``, ``2``], [``3``, ``7``, ``10``]] ` ` `  `# printing original list  ` `print``(``"The original list : "` `+` `str``(test_list)) ` ` `  `# using max() + map() + abs + zip() ` `# Maximum absolute difference list of list ` `res ``=` `[``max``(``map``(``abs``, (i ``-` `j ``for` `i, j ``in` `zip``(x, y)))) ` `         ``for` `x, y ``in` `zip``(test_list, test_list[``1``:])] ` ` `  `# print result ` `print``(``"The maximum difference sublist : "` `+` `str``(res)) `

Output :

```The original list : [[3, 4, 5], [4, 6, 8], [1, 9, 2], [3, 7, 10]]
The maximum difference sublist : [3, 6, 8]
```

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