8. Build the Tower

The president of Yanyang University has decided to build a new tower in front of the auditorium and has invited the students of SCE to help with the project. The tower is one of a kind and is made up of N cuboids one over the other. Each cuboid has a height of 1 unit and the length and breadth of a cuboid is equal. The top most cuboid’s length is 1 unit. The cuboid below it has a length of 2. All the cuboids below it have their lengths equal to the sum of the lengths of the 2 cuboids above it.

As a token of appreciation the president has decided to give SCE a grant of

$ ((Volume of Tower) % 1000000007)

Your task is to calculate the amount of grant received by SCE for a given value of N.

Input

The first line contains the number of test cases (T) followed by T lines each containing a single integer N.

Output

For each test case output the grant that SCE receives for building the tower.

Constraints

T <= 20, N <= 10^18

Example

Sample Input

2
5
10

Sample Output

$103
$12815