Multiply Binary Numbers

You are given two binary numbers represented as strings $s_1$ and $s_2$ . Your task is to calculate the product of these two binary numbers and output the result in binary form.

Input

The first line contains the first binary string $s_1$ ($0 ≤ |s_1| ≤ 100$).

The second line contains the second binary string $s_2$ ($0 ≤ |s_2| ≤ 100$).

Output

Output a single string representing the product of $s_1$ and $s_2$ in binary form.

Examples