fact(n) refers to n×(n−1)×⋯×3×2×1

Example, fact(10)=9×⋯×3×2×1=3628800,
and the summation of the digits of fact(10) is 3+6+2+8+8+0+0=27.
Write your program to find the summation of the digits of fact(N).

Input Format

The first line contains an integer T , i.e., number of test cases.
Next T lines will contain an integer N.

Output Format

Print the values corresponding to each test case.

Constraints

1≤T≤100
0≤N≤1000

SAMPLE INPUT
2
3
6

SAMPLE OUTPUT
6
9

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