CF1838A.Blackboard List

普及/提高-

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题目描述

Two integers were written on a blackboard. After that, the following step was carried out n2n-2 times:

  • Select any two integers on the board, and write the absolute value of their difference on the board.

After this process was complete, the list of nn integers was shuffled. You are given the final list. Recover one of the initial two numbers. You do not need to recover the other one.

You are guaranteed that the input can be generated using the above process.

输入格式

The first line of the input contains a single integer tt ( 1t1001 \le t \le 100 ) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer nn ( 3n1003 \le n \le 100 ) — the size of the final list.

The next line of each test case contains nn integers a1,a2,ana_1, a_2, \ldots a_n ( 109ai109-10^9 \le a_i \le 10^9 ) — the shuffled list of numbers written on the blackboard.

It is guaranteed that the input was generated using the process described above.

输出格式

For each test case, output a single integer xx — one of the two initial numbers on the blackboard.

If there are multiple solutions, print any of them.

输入输出样例

  • 输入#1

    9
    3
    9 2 7
    3
    15 -4 11
    4
    -9 1 11 -10
    5
    3 0 0 0 3
    7
    8 16 8 0 8 16 8
    4
    0 0 0 0
    10
    27 1 24 28 2 -1 26 25 28 27
    6
    600000000 800000000 0 -200000000 1000000000 800000000
    3
    0 -1000000000 1000000000

    输出#1

    9
    11
    -9
    3
    8
    0
    -1
    600000000
    0

说明/提示

For the first test case, aa can be produced by starting with either 99 and 22 , and then writing down 92=7|9-2|=7 , or starting with 99 and 77 and writing down 97=2|9-7|=2 . So 22 , 77 , and 99 are all valid answers, because they all appear in at least one valid pair.

For the second test case, we can show that the two initial numbers must have been 4-4 and 1111 .

For the fourth test case, the starting numbers could have been either 33 and 33 , or 33 and 00 , so 33 and 00 are both valid answers.

For the fifth test case, we can show that the starting numbers were 88 and 1616 .

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