CF1760C.Advantage

普及/提高-

通过率：0%

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题目描述

There are $n$ participants in a competition, participant $i$ having a strength of $s_i$ .

Every participant wonders how much of an advantage they have over the other best participant. In other words, each participant $i$ wants to know the difference between $s_i$ and $s_j$ , where $j$ is the strongest participant in the competition, not counting $i$ (a difference can be negative).

So, they ask you for your help! For each $i$ ( $1 \leq i \leq n$ ) output the difference between $s_i$ and the maximum strength of any participant other than participant $i$ .

输入格式

The input consists of multiple test cases. The first line contains an integer $t$ ( $1 \leq t \leq 1000$ ) — the number of test cases. The descriptions of the test cases follow.

The first line of each test case contains an integer $n$ ( $2 \leq n \leq 2\cdot10^5$ ) — the length of the array.

The following line contains $n$ space-separated positive integers $s_1$ , $s_2$ , ..., $s_n$ ( $1 \leq s_i \leq 10^9$ ) — the strengths of the participants.

It is guaranteed that the sum of $n$ over all test cases does not exceed $2\cdot10^5$ .

输出格式

For each test case, output $n$ space-separated integers. For each $i$ ( $1 \leq i \leq n$ ) output the difference between $s_i$ and the maximum strength of any other participant.

输入输出样例

输入#1

输出#1

-3 2 -4 -2 
-1 1 
-4 -3 -2 -1 1 
-5 5 -5 
0 0 0 0

说明/提示

For the first test case:

The first participant has a strength of $4$ and the largest strength of a participant different from the first one is $7$ , so the answer for the first participant is $4 - 7 = -3$ .
The second participant has a strength of $7$ and the largest strength of a participant different from the second one is $5$ , so the answer for the second participant is $7 - 5 = 2$ .
The third participant has a strength of $3$ and the largest strength of a participant different from the third one is $7$ , so the answer for the third participant is $3 - 7 = -4$ .
The fourth participant has a strength of $5$ and the largest strength of a participant different from the fourth one is $7$ , so the answer for the fourth participant is $5 - 7 = -2$ .

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