Consider the following statements:

1. If f is the subset of Z × Z defined by f = {(xy, x−y); x, y ∈ Z}, then f is a function from Z to Z.

2. If f is the subset of N × N defined by f = {(xy, x+y); x, y ∈ N}, then f is a function from N to N.

Which of the statements given above is/are correct?

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