Description

Generate three integers a, b, and c in [1,n] with equal probability independently, and use them as the three right-angle side length of a right-angled tetrahedron. Find the expectation of the reciprocal square of the distance from the right-angle apex to the slope (Euclidean distance).

For each test case, output a line containing the answer mod 998244353.

Input Format

In the first line, you should read an integer T denoting the number of test cases.

In every test case, the only line will include an integer n.

It is guaranteed that T is no larger than $2×10^6$ and n is no larger than $6×10​^6$​.

Output Format

For each test case, output the only line containing just one integer denoting the answer mod 998244353.

3
1
2
3​

3
124780546
194103070