Counting Towers

Your task is to build a tower whose width is 2 and height is n. You have an unlimited supply of blocks whose width and height are integers. For example, here are some possible solutions for n=6: Given n, how many different towers can you build? Mirrored and rotated towers are counted separately if they look different.

Input

The first input line contains an integer t: the number of tests. After this, there are t lines, and each line contains an integer n: the height of the tower.

Output

For each test, print the number of towers modulo 10^9+7.

Constraints

$1 \le t \le 100$

$1 \le n \le 10^6$

Example

Input

3
2
6
1337

Output

8
2864
640403945