A15629 | Hossam and Combinatorics
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内存限制256MB
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题目描述
Hossam woke up bored, so he decided to create an interesting array with his friend Hazem.
Now, they have an array $a$ of $n$ positive integers, Hossam will choose a number $a_i$ and Hazem will choose a number $a_j$ .
Count the number of interesting pairs $(a_i, a_j)$ that meet all the following conditions:
- $1 \le i, j \le n$ ;
- $i \neq j$ ;
- The absolute difference $|a_i - a_j|$ must be equal to the maximum absolute difference over all the pairs in the array. More formally, $|a_i - a_j| = \max_{1 \le p, q \le n} |a_p - a_q|$ .
Now, they have an array $a$ of $n$ positive integers, Hossam will choose a number $a_i$ and Hazem will choose a number $a_j$ .
Count the number of interesting pairs $(a_i, a_j)$ that meet all the following conditions:
- $1 \le i, j \le n$ ;
- $i \neq j$ ;
- The absolute difference $|a_i - a_j|$ must be equal to the maximum absolute difference over all the pairs in the array. More formally, $|a_i - a_j| = \max_{1 \le p, q \le n} |a_p - a_q|$ .
输入格式
The input consists of multiple test cases. The first line contains a single integer $t$ ( $1 \le t \le 100$ ), which denotes the number of test cases. Description of the test cases follows.
The first line of each test case contains an integer $n$ ( $2 \le n \le 10^5$ ).
The second line of each test case contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 10^5$ ).
It is guaranteed that the sum of $n$ over all test cases does not exceed $10^5$ .
The first line of each test case contains an integer $n$ ( $2 \le n \le 10^5$ ).
The second line of each test case contains $n$ integers $a_1, a_2, \dots, a_n$ ( $1 \le a_i \le 10^5$ ).
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 print an integer — the number of interesting pairs $(a_i, a_j)$ .
输入输出样例
输入 #1
2 5 6 2 3 8 1 6 7 2 8 3 2 10
输出 #1
2 4
In the first example, the two ways are:
- Hossam chooses the fourth number $8$ and Hazem chooses the fifth number $1$ .
- Hossam chooses the fifth number $1$ and Hazem chooses the fourth number $8$ .
In the second example, the four ways are:
- Hossam chooses the second number $2$ and Hazem chooses the sixth number $10$ .
- Hossam chooses the sixth number $10$ and Hazem chooses the second number $2$ .
- Hossam chooses the fifth number $2$ and Hazem chooses the sixth number $10$ .
- Hossam chooses the sixth number $10$ and Hazem chooses the fifth number $2$ .
- Hossam chooses the fourth number $8$ and Hazem chooses the fifth number $1$ .
- Hossam chooses the fifth number $1$ and Hazem chooses the fourth number $8$ .
In the second example, the four ways are:
- Hossam chooses the second number $2$ and Hazem chooses the sixth number $10$ .
- Hossam chooses the sixth number $10$ and Hazem chooses the second number $2$ .
- Hossam chooses the fifth number $2$ and Hazem chooses the sixth number $10$ .
- Hossam chooses the sixth number $10$ and Hazem chooses the fifth number $2$ .
C++ 编辑器
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输出
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评测结果:Accepted