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#3941. 联合攻击

統計

Torstein 将军发送了下一次联合攻击的 $x$ 坐标,并期望你迅速执行他的命令以避免迫在眉睫的灾难。不幸的是,Torstein 讨厌超过 2 位的数字,并且钟爱水平线段,因此他以连分式的形式发送了坐标,即:

$$x = x_0 + \frac{1}{x_1 + \frac{1}{\dots}}$$

Public Domain, Bill Ingalls via nasa.gov

你的火箭发射器只接受以最简分数形式表示的坐标,因此你需要快速计算出正确的数值以启动攻击。快点!失败可能会导致可怕的后果!

输入格式

第一行包含一个整数 $n$ ($1 \le n < 40$),表示连分式中系数的个数;接下来一行包含 $n$ 个整数 ($1 \le x_i < 100$),表示 $x$ 的系数。

输出格式

以最简分数形式输出坐标 $x$。保证分子和分母均小于 $10^{18}$。

样例

输入格式 1

2
2 3

输出格式 1

7/3

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