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Geek prepared **N** questions for developers hiring challenge of the GeeksforGeeks, but the hiring manager wants only one question in the contest and he asked geek to give the best problem out of N problems. Geek thinks that all the questions are best and he confused to choose a single problem. So, geek came with a game. Geek placed all the problems side by side from 1 to N. He takes out the first problem and inserts it at the end and removes the next first problem from the set. He repeats the same process until a single problem remains. The task is to find a single last problem.

**Input: **

1. The first line of the input contains a single integer* * **T** denoting the number of test cases. The description of **T** test cases follows.

2. The first line of each test case contains a single integer** N****.**

**Output:** For each test case, print the last problem which remains

**Constraints:**

1. 1 <= T <= 100

2. 1 <= N <= 10^{4}

**Example:
Input:**

2

5

4

**Output:**

3

1

**Explanation:
Test Case 1:** {1, 2, 3, 4, 5} -> {3, 4, 5, 1} -> {5, 1, 3} -> {3, 5} -> {3}

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