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has_mirror_twice

Language/Type: Python lists traversals nested loops

Write a function named has_mirror_twice that accepts two lists of integers a1 and a2 as parameters and returns True if a1 contains all the elements of a2 in reverse order at least twice (and False otherwise). For example, if a2 stores the elements [1, 2, 3] and a1 stores the elements [6, 3, 2, 1, 4, 1, 3, 2, 1, 5], your function would return True.

Assume that both lists passed to your function will have a length of at least 1. This means that the shortest possible mirror will be of length 1, representing a single element (which is its own mirror). A sequence that is a palindrome (the same forwards as backwards) is considered its own mirror and should be included in your computations. For example, if a1 is [6, 1, 2, 1, 4, 1, 2, 1, 5] and a2 is [1, 2, 1], your function should return True. The two occurrences of the mirror might overlap, as shown in the fourth sample call below.

The following table shows some calls to your function and their expected results:

Lists Returned Value
a1 = [6, 1, 2, 1, 3, 1, 3, 2, 1, 5]
a2 = [1, 2]
has_mirror_twice(a1, a2) returns True
a3 = [5, 8, 4, 18, 5, 42, 4, 8, 5, 5]
a4 = [4, 8, 5]
has_mirror_twice(a3, a4) returns False
a5 = [6, 3, 42, 18, 12, 5, 3, 42, 3, 42]
a6 = [42, 3]
has_mirror_twice(a5, a6) returns True
a7 = [6, 1, 2, 4, 2, 1, 2, 4, 2, 1, 5]
a8 = [1, 2, 4, 2, 1]
has_mirror_twice(a7, a8) returns True
a9 = [0, 0]
aa = [0]
has_mirror_twice(a9, aa) returns True
ab = [8, 9, 2, 1]
ac = [5, 7, 1, 2, 9, 8]
has_mirror_twice(ab, ac) returns False

Do not modify the contents of the lists passed to your function as parameters.

Function: Write a Python function as described, not a complete program.

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