Snuke 密度 - 题目

#15804. Snuke 密度

统计

AI Translation — This statement was translated using AI and may contain inaccuracies. Please refer to the original statement if in doubt.

$c!$ 只 Snuke 正在一间大小为 $a! \times b!$ 的矩形房间里睡觉。请判断该房间的 Snuke 密度 $\frac{c!}{a!b!}$ 是否为整数。

输入格式

输入的第一行包含三个整数 $a$，$b$ 和 $c$。

数据范围

$1 \le a, b, c \le 10^{11}$

输出格式

如果 $\frac{c!}{a!b!}$ 是整数，输出 "YES"。否则，输出 "NO"。

样例

输入样例 1

2 3 4

输出样例 1

YES

输入样例 2

100000000000 100000000000 100000000000

输出样例 2

NO

说明

在样例 1 中，$\frac{4!}{2!3!} = 2$ 是一个整数。

Discussions

About Discussions

The discussion section is only for posting: General Discussions (problem-solving strategies, alternative approaches), and Off-topic conversations.

This is NOT for reporting issues! If you want to report bugs or errors, please use the Issues section below.

Open Discussions 0

No discussions in this category.

Issues

About Issues

If you find any issues with the problem (statement, scoring, time/memory limits, test cases, etc.), you may submit an issue here. A problem moderator will review your issue.

Guidelines:

This is not a place to publish discussions, editorials, or requests to debug your code. Issues are only visible to you and problem moderators.
Do not submit duplicated issues.
Issues must be filed in English or Chinese only.

Active Issues 0

No issues in this category.

Closed/Resolved Issues 0