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3342: On Sum of Fractions

金币值:2 定数:1 时间限制:2.000 s 内存限制:256 M
正确:0 提交:0 正确率:0.00% 命题人:
点赞量:0 收藏量:0 题目类型:程序

题目描述

time limit per test
2 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

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 .

Input

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≤109).

Output

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.

Examples
Input
2
2
3
Output
1/6
7/30