CF1904B.Collecting Game

普及/提高-

通过率：0%

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题目描述

You are given an array $a$ of $n$ positive integers and a score. If your score is greater than or equal to $a_i$ , then you can increase your score by $a_i$ and remove $a_i$ from the array.

For each index $i$ , output the maximum number of additional array elements that you can remove if you remove $a_i$ and then set your score to $a_i$ . Note that the removal of $a_i$ should not be counted in the answer.

输入格式

Each test contains multiple test cases. The first line contains an integer $t$ ( $1 \leq t \leq 5000$ ) — the number of test cases. The description of the test cases follows.

The first line of each test case contains a single integer $n$ ( $1 \le n \le 10^5$ ) — the length of the array.

The second line of each test case contains $n$ integers $a_1, a_2, \ldots, a_n$ ( $1 \le a_i \le 10^9$ ) — the elements of the array.

It is guaranteed that the sum of $n$ over all test cases does not exceed $10^5$ .

输出格式

For each test case, output $n$ integers, the $i$ -th of which denotes the maximum number of additional array elements that you can remove if you remove $a_i$ from the array and then set your score to $a_i$ .

输入输出样例

输入#1

4
5
20 5 1 4 2
3
1434 7 1442
1
1
5
999999999 999999999 999999999 1000000000 1000000000

输出#1

说明/提示

In the first test case, the answers are as follows:

If we start with $i=4$ , our initial score is $a_4=4$ and $a=[20,5,1,2]$ . We can remove $3$ additional elements in the following order:

Since $4 \ge 1$ , we can remove $1$ and our score becomes $5$ . After this, $a=[20,5,2]$ .
Since $5 \ge 5$ , we can remove $5$ and our score becomes $10$ . After this, $a=[20,2]$ .
Since $10 \ge 2$ , we can remove $2$ and our score becomes $12$ . After this, $a=[20]$ .

If we start with $i=1$ we can remove all remaining elements in the array, so the answer is $4$ .

If we start with $i=2$ , we can remove $3$ additional elements in the following order: $1$ , $4$ , $2$ .

If we start with $i=3$ , we can remove no additional elements.

If we start with $i=5$ , we can remove $1$ additional element: $1$ .

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