A13711. Maximum Product
编程题
普及/提高-
知识点
题目描述
You are given an array of integers $a_1,a_2,\ldots,a_n$ . Find the maximum possible value of $a_ia_ja_ka_la_t$ among all five indices $(i, j, k, l, t)$ ( $i<j<k<l<t$ ).
输入格式
The input consists of multiple test cases. The first line contains an integer $t$ ( $1\le t\le 2 \cdot 10^4$ ) — the number of test cases. The description of the test cases follows.
The first line of each test case contains a single integer $n$ ( $5\le n\le 10^5$ ) — the size of the array.
The second line of each test case contains $n$ integers $a_1,a_2,\ldots,a_n$ ( $-3\times 10^3\le a_i\le 3\times 10^3$ ) — given array.
It's guaranteed that the sum of $n$ over all test cases does not exceed $2\cdot 10^5$ .
The first line of each test case contains a single integer $n$ ( $5\le n\le 10^5$ ) — the size of the array.
The second line of each test case contains $n$ integers $a_1,a_2,\ldots,a_n$ ( $-3\times 10^3\le a_i\le 3\times 10^3$ ) — given array.
It's guaranteed that the sum of $n$ over all test cases does not exceed $2\cdot 10^5$ .
输出格式
For each test case, print one integer — the answer to the problem.
输入输出样例
输入 #1
4 5 -1 -2 -3 -4 -5 6 -1 -2 -3 1 2 -1 6 -1 0 0 0 -1 -1 6 -9 -7 -5 -3 -2 1
输出 #1
-120 12 0 945
说明/提示
In the first test case, choosing $a_1,a_2,a_3,a_4,a_5$ is a best choice: $(-1)\cdot (-2) \cdot (-3)\cdot (-4)\cdot (-5)=-120$ .
In the second test case, choosing $a_1,a_2,a_3,a_5,a_6$ is a best choice: $(-1)\cdot (-2) \cdot (-3)\cdot 2\cdot (-1)=12$ .
In the third test case, choosing $a_1,a_2,a_3,a_4,a_5$ is a best choice: $(-1)\cdot 0\cdot 0\cdot 0\cdot (-1)=0$ .
In the fourth test case, choosing $a_1,a_2,a_3,a_4,a_6$ is a best choice: $(-9)\cdot (-7) \cdot (-5)\cdot (-3)\cdot 1=945$ .
In the second test case, choosing $a_1,a_2,a_3,a_5,a_6$ is a best choice: $(-1)\cdot (-2) \cdot (-3)\cdot 2\cdot (-1)=12$ .
In the third test case, choosing $a_1,a_2,a_3,a_4,a_5$ is a best choice: $(-1)\cdot 0\cdot 0\cdot 0\cdot (-1)=0$ .
In the fourth test case, choosing $a_1,a_2,a_3,a_4,a_6$ is a best choice: $(-9)\cdot (-7) \cdot (-5)\cdot (-3)\cdot 1=945$ .