Problem Description

Here is a simple math. You are given an integer n. Your task is to calculate the following:

Input

The first line contains an integer T (1≤T≤$10^4$), denoting the number of test cases. The only line of each test case contains an integer n (2≤n≤$10^8$).

Output

In fact, the answer can be represented as a fraction Q/P, where $gcd(P,Q)=1$ and P,Q>0. Since these numbers can be very huge for large n, you are only required to print $Q \cdot P^{-1}$ mod 998244353.

For each test case, print a single line with the calculated value.

3
2
3
4

499122177
1
831870295

Hint

Real answer for sample test cases are 1/2,1,5/6 respectively.