SOLVE
LATER
Alice is very fond of Sequences. But she got stuck in a problem. She wants to generate sequences of length N , consisting only of numbers \(1,2,3\) In any sequence each number occurs at least once.
So, she wants your help now to compute this. She has been given N , the length of the sequences she needs to generate. You need to help her, and find out how many such sequences exist. Can you do it ?
The number is so large so you need to compute answer modulo \(1000000007\) .
Input Format :
The first line contains a single integer T denoting the number of test cases. Each of the next T lines contains a single integer N, denoting the parameter of the \(i^{th}\) test.
Output Format :
You have to print the number of sequences of length N that consists of at least one occurence of each of 1, 2 and 3. As the answer can be rather large, print it modulo \(10^9+7\).
Constraints
\( 1 \le T \le 100 \)
\( 1 \le N \le 10^6 \)