CRB has $N$ different candies. He is going to eat $K$ candies. He wonders how many combinations he can select. Can you answer his question for all $K$(0 ≤ $K$ ≤ $N$)? CRB is too hungry to check all of your answers one by one, so he only asks least common multiple(LCM) of all answers.
输入解释
There are multiple test cases. The first line of input contains an integer $T$, indicating the number of test cases. For each test case there is one line containing a single integer $N$. 1 ≤ $T$ ≤ 300 1 ≤ $N$ ≤ $10^{6}$
输出解释
For each test case, output a single integer – LCM modulo 1000000007($10^{9}+7$).