Question: Two arrays A [ 1 . . n ] and B [ 1 . . n ] of ( unique ) integers are order -

Two arrays A[1..n] and B[1..n] of (unique) integers are order-isomorphic - if and only if for every i, j, A[i] A[j] implies B[i] B[j]. For example, 14253 and 27395 are order isomorphic. However, 14758 and 26937 are not because i=2 and j=4 would lead to pair 45 in the first array while this would be 6>3 in the second one. Given two such arrays A and B, give an algorithm to determine whether they are order-isomorphic or not.
Two arrays A[1..n] and B[1..n] of (unique) integers are order-isomorphic -

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