CF1633A Div. 7

Description

You are given an integer $ n $ . You have to change the minimum number of digits in it in such a way that the resulting number does not have any leading zeroes and is divisible by $ 7 $ . If there are multiple ways to do it, print any of them. If the given number is already divisible by $ 7 $ , leave it unchanged.

Input Format

The first line contains one integer $ t $ ( $ 1 \le t \le 990 $ ) — the number of test cases. Then the test cases follow, each test case consists of one line containing one integer $ n $ ( $ 10 \le n \le 999 $ ).

Output Format

For each test case, print one integer without any leading zeroes — the result of your changes (i. e. the integer that is divisible by $ 7 $ and can be obtained by changing the minimum possible number of digits in $ n $ ). If there are multiple ways to apply changes, print any resulting number. If the given number is already divisible by $ 7 $ , just print it.

Explanation/Hint

In the first test case of the example, $ 42 $ is already divisible by $ 7 $ , so there's no need to change it. In the second test case of the example, there are multiple answers — $ 28 $ , $ 21 $ or $ 63 $ . In the third test case of the example, other possible answers are $ 357 $ , $ 371 $ and $ 378 $ . Note that you cannot print $ 077 $ or $ 77 $ .