Array

Another small problem before I go to sleep tonight: There is an array A[N] of N numbers. You have to compose an array Output[N] such that Output[i] will be equal to multiplication of all the elements of A[N] except A[i]. For example Output[0] will be multiplication of A[1] to A[N-1] and Output[1] will be multiplication of A[0] and from A[2] to A[N-1]. Solve it without division operator and in O(n). ...

Tonight it’s a challenging one. Or, better, a problem of which is really difficult to find a good solution in < O(n3). Indeed, it’s a question that an ex-colleague was asked during an interview with Big-G. The guy, a part from being a REALLY smart guy, is also very humble, and he doesn’t want to be mentioned by name. So, sorry for girls looking for a young, smart, promising young man: you need to find who he is yourself. ;) ...