Ambiguous Permutations - explanation

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some explanation:
1 - use 1-based array
2 - think of inverse permutation as bijection function       
3 - create inverse(Y) function(permutation) of given array(X)
4 - if array(X) and its inverse(Y) is equal to each other then the function(permutation) is ambiguous
NOTE: all my ideas hold variability due to my lack of math and programming knowledge. thanx

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