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#18663. Ceizenpok 公式

统计

来自 i1c5l 星球的 Ceizenpok 博士因其最近的发现——Ceizenpok 公式而享誉整个宇宙。该公式只有三个参数:$n$、$k$ 和 $m$,其值是大小为 $n$ 的集合的 $k$-组合数模 $m$ 的值。

当整个宇宙都在试图猜测这个公式有什么用处时,我们需要将其计算自动化。

输入格式

单行包含三个空格隔开的整数 $n$, $k$, $m$ ($1 \le n \le 10^{18}$, $0 \le k \le n$, $2 \le m \le 1\,000\,000$)。

输出格式

输出给定的参数 $n$, $k$, $m$ 对应的公式值。

样例

输入格式 1

2 1 3

输出格式 1

2

输入格式 2

4 2 5

输出格式 2

1

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