Description
time limit per test
2 secondsmemory limit per test
256 megabytesinput
standard inputoutput
standard outputLet'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