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Xor Equality XOREQUAL Codechef
For a given N, find the number of ways to choose an integer x from the range [0,2N−1] such that x⊕(x+1)=(x+2)⊕(x+3), where ⊕ denotes the bitwise XOR operator.
Since the number of valid x can be large, output it modulo 109+7.
Input
The first line contains an integer T, the number of test cases. Then the test cases follow.
The only line of each test case contains a single integer N.
Output
For each test case, output in a single line the answer to the problem modulo 109+7.
Constraints
1≤T≤105
1≤N≤105
Subtasks
Subtask #1 (100 points): Original Constraints
Sample Input
2
1
2
Sample Output
1
2
Explanation
Test Case 1: The possible values of x are {0}.
Test Case 2: The possible values of x are {0,2}.
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