Key Set

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 131072/131072 K (Java/Others)

Description

soda has a set $S$ with $n$ integers $\{1, 2, \dots, n\}$. A set is called key set if the sum of integers in the set is an even number. He wants to know how many nonempty subsets of $S$ are key set.

Input

There are multiple test cases. The first line of input contains an integer $T$ $(1 \le T \le 10^5)$, indicating the number of test cases. For each test case:

The first line contains an integer $n$ $(1 \le n \le 10^9)$, the number of integers in the set.

Output

For each test case, output the number of key sets modulo 1000000007.

Sample Input

4 1 2 3 4

Sample Output

0 1 3 7

Hint

wange2014

Source

2015 Multi-University Training Contest 6

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