Your task is to evaluate the following series for a given n

Where (n)C(r) denotes n choose r.

Power of 2 is always non-negative.(i.e. series terminates when either power of 2 goes negative or combinatorics becomes undefined.)

Input

First line of input contains the number of test cases (t ≤ 100000), then follows t lines, each containing the value of n (n ≤ 100000.)

Output

You should output t lines, ith line contains answer of the ith test case.

Example

Input:
2
1
2

Output:
2
3 

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