103261: [Atcoder]ABC326 B - 326-like Numbers

Problem Statement

A 326-like number is a three-digit positive integer where the product of the hundreds and tens digits equals the ones digit.

For example, $326,400,144$ are 326-like numbers, while $623,777,429$ are not.

Given an integer $N$, find the smallest 326-like number greater than or equal to $N$. It always exists under the constraints.

Constraints

• $100 \leq N \leq 919$
• $N$ is an integer.

Input

The input is given from Standard Input in the following format:

$N$

Output

Print the answer.

Sample Input 1

320

Sample Output 1

326

$320,321,322,323,324,325$ are not 326-like numbers, while $326$ is a 326-like number.

Sample Input 2

144

Sample Output 2

144

$144$ is a 326-like number.

Sample Input 3

516

Sample Output 3

600

问题描述

一个326-like数是一个三位正整数，其中百位数和十位数的乘积等于个位数。

例如，326,400,144是326-like数，而623,777,429不是。

给定一个整数$N$，找到最小的326-like数，大于或等于$N$。在约束条件下，它总是存在的。

约束条件

• $100 \leq N \leq 919$
• $N$是一个整数。

输入

输入从标准输入以以下格式给出：

$N$

输出

打印答案。

样例输入1

320

样例输出1

326

$320,321,322,323,324,325$不是326-like数，而326是326-like数。

样例输入2

144

样例输出2

144

$144$是326-like数。

样例输入3

516

样例输出3

600