There is a computer that generates a polynomial P(x) of arbitrary degree and positive integer coefficients. You are only allowed to enter inputs for the polynomial P(x) into the computer; the computer will print out the result. So if 2 is your input, the computer prints out the numeric value P(2). This is a theoretical computer and thus numerical accuracy is not something to worry about. What is the minimum no. of inputs before you can completely determine the Polynomial. It goes without saying that the answer is a finite no.