Sorting large arrays of big numeric stings

I was solving bigSorting() problem from hackerrank:

Consider an array of numeric strings where each string is a positive number with anywhere from to digits. Sort the array's elements in non-decreasing, or ascending order of their integer values and return the sorted array.

I know it works as follows:

def bigSorting(unsorted):
    return sorted(unsorted, key=int)

But I didnt guess this approach earlier. Initially I tried below:

def bigSorting(unsorted):
    int_unsorted = [int(i) for i in unsorted]
    int_sorted = sorted(int_unsorted)
    return [str(i) for i in int_sorted]

However, for some of the test cases, it was showing time limit exceeded. Why is it so?

PS: I dont know exactly what those test cases were as hacker rank does not reveal all test cases.

source https://stackoverflow.com/questions/73007397/sorting-large-arrays-of-big-numeric-stings

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