SP11181 BUILDTOW - Build the Tower

**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. Cuboid Length Breadth Height 1 1 1 1 2 2 2 1 3 3 3 1 4 5 5 1 5 8 8 1 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.

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

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