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问题 I: Questionnaire

问题 I: Questionnaire

时间限制: 2 Sec  内存限制: 128 MB  Special Judge
提交: 11  解决: 1
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题目描述

注意 : psj 没解决 ,先不要交

In order to get better results in official ACM/ICPC contests, the team leader comes up with a questionnaire. He asked everyone in the team whether to have more training.




Picture from Wikimedia Commons


Obviously many people don't want more training, so the clever leader didn't write down their words such as ''Yes'' or ''No''. Instead, he let everyone choose a positive integer ai to represent his opinion. When finished, the leader will choose a pair of positive interges m(m>1) and k(0≤k<m), and regard those people whose number is exactly k modulo m as ''Yes'', while others as ''No''. If the number of ''Yes'' is not less than ''No'', the leader can have chance to offer more training.

Please help the team leader to find such pair of m and k.

输入描述

The first line of the input contains an integer T(1≤T≤15), denoting the number of test cases.

In each test case, there is an integer n(3≤n≤100000) in the first line, denoting the number of people in the ACM/ICPC team.

In the next line, there are n distinct integers a1,a2,...,an(1≤ai≤109), denoting the number that each person chosen.

输出描述

For each test case, print a single line containing two integers m and k, if there are multiple solutions, print any of them.

样例输入

1
6
23 3 18 8 13 9

样例输出

5 3
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