Geeksforgeeks

Error

×

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}

We are replacing the old Disqus forum with the new Discussions section given below.

Click here to view old Disqus comments.

Click here to view old Disqus comments.

Login to report an issue on this page.

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

YesLoading...

GeeksforGeeks

...