P25711 [AtCoder] Base K
入门
题目描述

Problem Statement

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

Input

Input is given from Standard Input in the following format:
K
A B

Output

Print the answer.

Constraints

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

Sample Input 1

2
1011 10100

Sample Output 1

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.

Sample Input 2

7
123 456

Sample Output 2

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.

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
2 1011 10100
样例输出
220