I have been trying to understand the meaning of the problem statement of Ambiguous Permutations for some time. But I still haven’t been able to figure out what are the various types of permutations given in the statement. The given examples are not clear and are too short for recognizing the pattern specified.

This sentence is not clear.

You create a list of numbers where the i-th number is the position of the integer i in the permutation. Let us call this second possibility an inverse permutation. The inverse permutation for the sequence above is 5, 1, 2, 3, 4.

How is this inverse permutation formed by the given permutation

2, 3, 4, 5, 1

Can someone please explain the problem statement and perhaps edit it to add clarity?