B - Base K

Score : $200$ points

Problem Statement

You are given integers $A$ and $B$, in base $K$.
Print $A \times B$ in decimal.

Notes

For base-$K$ representation, see Wikipedia's article on Positional notation.

Constraints

• $2 \leq K \leq 10$
• $1 \leq A,B \leq 10^5$
• $A$ and $B$ are in base-$K$ representation.

Input

Input is given from Standard Input in the following format:

$K$

$A$ $B$

Output

Print the answer.

2
1011 10100

220

1011 in base $2$ corresponds to $11$ in base $10$.
10100 in base $2$ corresponds to $20$ in base $10$.
We have $11 \times 20 = 220$, so print $220$.

7
123 456

15642

123 in base $7$ corresponds to $66$ in base $10$.
456 in base $7$ corresponds to $237$ in base $10$.
We have $66 \times 237 = 15642$, so print $15642$.