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A9464. On Sum of Fractions

编程题 普及/提高-

题目描述

Let's assume that

- $v(n)$ is the largest prime number, that does not exceed $n$ ;
- $u(n)$ is the smallest prime number strictly greater than $n$ .

Find ![](/uploads/acgo/image/629c6e90d7a7e932_c72116a26c06.jpeg).

输入格式

The first line contains integer $t (1<=t<=500)$ — the number of testscases.

Each of the following $t$ lines of the input contains integer $n$ ( $2<=n<=10^{9}$ ).

输出格式

Print $t$ lines: the $i$ -th of them must contain the answer to the $i$ -th test as an irreducible fraction " $p$ / $q$ ", where $p,q$ are integers, $q>0$ .

输入输出样例

输入 #1
2
2
3
输出 #1
1/6
7/30
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