Hoop Jump solution codechef

Hoop Jump solution codechef

You and your friend are playing a game with hoops. There are NN hoops (where NN is odd) in a row. You jump into hoop 11, and your friend jumps into hoop NN. Then you jump into hoop 22, and after that, your friend jumps into hoop N1N−1, and so on.

The process ends when someone cannot make the next jump because the hoop is occupied by the other person. Find the last hoop that will be jumped into.

Input Hoop Jump solution codechef

  • The first line contains an integer TT, the number of test cases. Then the test cases follow.
  • Each test case contains a single line of input, a single integer NN.

Output Hoop Jump solution codechef

For each testcase, output in a single line the answer to the problem.

Constraints Hoop Jump solution codechef

  • 1T1051≤T≤105
  • 1N<21051≤N<2⋅105
  • NN is odd

Subtasks Hoop Jump solution codechef

Subtask #1 (100 points): original constraints

Sample Input Hoop Jump solution codechef

2
1
3

Sample Output Hoop Jump solution codechef

1
2

Explanation

Test Case 11: Since there is only 11 hoop, that’s the only one to be jumped into.

Test Case 22: The first player jumps into hoop 11. The second player jumps into hoop 33 and finally the first player jumps into hoop 22. Then the second player cannot make another jump, so the process stops.

SOLUTION

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