Key Set

Time Limit: 1000ms
Memory Limit: 131072KB
This problem will be judged on HDU. Original ID: 5363
64-bit integer IO format: %I64d      Java class name: Main

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

Source

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