序列 $S_n$ 定义如下：
$$S_n = \left\lceil (a + \sqrt{b})^n \right\rceil \pmod m$$
其中 $a, b, n, m$ 为正整数。$\lceil x \rceil$ 表示 $x$ 的向上取整。例如 $\lceil 3.14 \rceil = 4$。你需要计算 $S_n$。 作为一名顶尖程序员，你会说：太简单了！
包含多组测试数据，每组测试数据占一行，包含四个正整数：$a, b, n, m$。其中 $0 < a, m < 2^{15}$，$(a-1)^2 < b < a^2$，$0 < b, n < 2^{31}$。 输入以文件结束符（EOF）结束。
对于每组测试数据，输出一个整数 $S_n$。
2 3 1 2013 2 3 2 2013 2 2 1 2013
4 14 4
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