The factorial of $N$, written as $N!$, is defined as the product of all the integers from $1$ to $N$. For example, $3! = 1 \times 2 \times 3 = 6$.

This number can be very large, so instead of computing the entire product, just compute the last digit of $N!$ (when $N!$ is written in base $10$).

-----Input-----
The first line of input contains a positive integer $1 \leq T \leq 10$, the number of test cases. Each of the next $T$ lines contains a single positive integer $N$. $N$ is at most $10$.

-----Output-----
For each value of $N$, print the last digit of $N!$.

-----Examples-----
Sample Input:
3
1
2
3
Sample Output:
1
2
6

Source: kattis | Difficulty: EASY
Tags: Complete search


Solutions: