CF1760C.Advantage

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 $i$.

共有 $n$ 名参赛者参加一场比赛，其中第 $i$ 名参赛者的实力为 $s_i$。

每名参赛者都想知道：相较于除自己之外的最强参赛者，自己的优势有多大。换言之，对每名参赛者 $i$，需计算 $s_i$ 与 $s_j$ 的差值，其中 $j$ 是除 $i$ 外所有参赛者中实力最强者（该差值可为负数）。

因此，他们请求你的帮助！对每个 $i$（$1 \leq i \leq n$），输出 $s_i$ 与除第 $i$ 名参赛者外其余所有参赛者中最大实力值的差。

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 $2\cdot10^5$.

输入包含多个测试用例。第一行包含一个整数 $t$（$1 \leq t \leq 1000$），表示测试用例的数量。随后是各测试用例的描述。

每个测试用例的第一行包含一个整数 $n$（$2 \leq n \leq 2\cdot10^5$），表示数组的长度。

接下来的一行包含 $n$ 个以空格分隔的正整数 $s_1$, $s_2$, ..., $s_n$（$1 \leq s_i \leq 10^9$），表示各参与者的实力值。

保证所有测试用例的 $n$ 值之和不超过 $2\cdot10^5$。

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.

对于每个测试用例，输出 $n$ 个以空格分隔的整数。对于每个 $i$（$1 \leq i \leq n$），输出 $s_i$ 与其余任意参赛者最大实力值的差。

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 $5 - 7 = -2$.

对于第一个测试用例：

• 第一位参与者的实力为 $4$，其余参与者中实力最大的为 $7$，因此第一位参与者的答案为 $4 - 7 = -3$。
• 第二位参与者的实力为 $7$，其余参与者中实力最大的为 $5$，因此第二位参与者的答案为 $7 - 5 = 2$。
• 第三位参与者的实力为 $3$，其余参与者中实力最大的为 $7$，因此第三位参与者的答案为 $3 - 7 = -4$。
• 第四位参与者的实力为 $5$，其余参与者中实力最大的为 $7$，因此第四位参与者的答案为 $5 - 7 = -2$。