7443: Math is Simple

内存限制:128 MB 时间限制:1 S 标准输入输出
题目类型:传统 评测方式:文本比较 上传者:
提交:0 通过:0

题目描述

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

输入格式

The first line contains an integer T (1≤T≤104), denoting the number of test cases. The only line of each test case contains an integer n (2≤n≤108).

输出格式

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⋅P−1 mod 998244353. 

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

输入样例 复制

3
2
3
4

输出样例 复制

499122177
1
831870295

数据范围与提示

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