Codeforces Round 651 (Div. 2) |
---|

Finished |

Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

greedy

implementation

math

number theory

*800

No tag edit access

The problem statement has recently been changed. View the changes.

×
A. Maximum GCD

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputLet's consider all integers in the range from $$$1$$$ to $$$n$$$ (inclusive).

Among all pairs of distinct integers in this range, find the maximum possible greatest common divisor of integers in pair. Formally, find the maximum value of $$$\mathrm{gcd}(a, b)$$$, where $$$1 \leq a < b \leq n$$$.

The greatest common divisor, $$$\mathrm{gcd}(a, b)$$$, of two positive integers $$$a$$$ and $$$b$$$ is the biggest integer that is a divisor of both $$$a$$$ and $$$b$$$.

Input

The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 100$$$) — the number of test cases. The description of the test cases follows.

The only line of each test case contains a single integer $$$n$$$ ($$$2 \leq n \leq 10^6$$$).

Output

For each test case, output the maximum value of $$$\mathrm{gcd}(a, b)$$$ among all $$$1 \leq a < b \leq n$$$.

Example

Input

2 3 5

Output

1 2

Note

In the first test case, $$$\mathrm{gcd}(1, 2) = \mathrm{gcd}(2, 3) = \mathrm{gcd}(1, 3) = 1$$$.

In the second test case, $$$2$$$ is the maximum possible value, corresponding to $$$\mathrm{gcd}(2, 4)$$$.

Codeforces (c) Copyright 2010-2024 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Apr/16/2024 02:08:03 (l3).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|