You are given a polynom in form p(x) = (x + a₁)·(x + a₂)·... (x + a_n). Write Pike program to print it in a standard form p(x) = xⁿ + b₁x^n - 1 + ... + b_n - 1x + b_n. You should write each addend in form «C*X^K» (for example, 5*X^8).

Please, write the polynom in the shortest way, so you should skip unnecessary terms: some terms «C*X^K» should be reduced or even omitted. Look for the samples for clarification.

The first line of the input contains n (1 ≤ n ≤ 9). The following n lines contain integer a_i ( - 10 ≤ a_i ≤ 10).

Print the given polynom in a standard way. Note, that the answer in this problem response uniquely determined.