Adding Continued Fractions

Two finite continued fractions are provided.

Your task is to determine a finite continued fraction whose value equals the sum of the values of the given fractions.

Input

The first line of the input specifies the first fraction in the format [a_0, a_1, ..., a_{n−1}] where (1 $\le$ n $\le$ 100), (-100 $\le$ a_0 $\le$ 100), and (1 $\le$ a_i $\le$ 100) for (i > 0). The second line provides the second fraction in the same format.

Output

Output a single line containing the continued fraction that represents the sum of the given fractions, formatted in the same way.

Examples