Score : $200$ points

问题描述

在 AtCoder 公寓中，有 $N$ 层楼，分别称为第1层到第 $N$ 层。每层楼有 $K$ 个房间，依次称为第1间房到第 $K$ 间房。

这里，$N$ 和 $K$ 都是一位整数，且第 $i$ 层的第 $j$ 个房间的房间号为 i0j。例如，第1层的第2个房间的房间号为 $102$。

身为经理的高桥对公寓中所有房间的房间号之和产生了兴趣，这里的每个房间号都被视为一个三位整数。请计算这个总和。

以上为通义千问 qwen-max 翻译，仅供参考。

Problem Statement

A condominium AtCoder has $N$ floors, called the $1$-st floor through the $N$-th floor. Each floor has $K$ rooms, called the $1$-st room through the $K$-th room.

Here, both $N$ and $K$ are one-digit integers, and the $j$-th room on the $i$-th floor has the room number i0j. For example, the $2$-nd room on the $1$-st floor has the room number $102$.

Takahashi, the manager, got interested in the sum of the room numbers of all rooms in the condominium, where each room number is seen as a three-digit integer. Find this sum.

Constraints

• $1 \leq N,K \leq 9$
• $N$ and $K$ are integers.

Input

Input is given from Standard Input in the following format:

$N$ $K$

Output

Print the answer.

Sample Input 1

1 2

Sample Output 1

203

The condominium has two rooms $101$ and $102$. We have $101+102=203$.

Sample Input 2

3 3

Sample Output 2

1818

update @ 2024/3/10 09:15:21