Adding Continued Fractions

Input

The first line of the input specifies the first fraction in the format $[a_{0}, a_{1}, \dots, a_{n - 1}]$ [a_0, a_1, \ldots, a_{n-1}] where $1 \leq n \leq 100$ 1 \leq n \leq 100, $- 100 \leq a_{0} \leq 100$ -100 \leq a_0 \leq 100, and $1 \leq a_{i} \leq 100$ 1 \leq a_i \leq 100 for $i > 0$ 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

Example 1

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