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Java-based LeetCode algorithm problem solutions, regularly updated
2708\. Maximum Strength of a Group
Medium
You are given a **0-indexed** integer array `nums` representing the score of students in an exam. The teacher would like to form one **non-empty** group of students with maximal **strength**, where the strength of a group of students of indices i0
, i1
, i2
, ... , ik
is defined as nums[i0] * nums[i1] * nums[i2] * ... * nums[ik]
.
Return _the maximum strength of a group the teacher can create_.
**Example 1:**
**Input:** nums = [3,-1,-5,2,5,-9]
**Output:** 1350
**Explanation:** One way to form a group of maximal strength is to group the students at indices [0,2,3,4,5]. Their strength is 3 \* (-5) \* 2 \* 5 \* (-9) = 1350, which we can show is optimal.
**Example 2:**
**Input:** nums = [-4,-5,-4]
**Output:** 20
**Explanation:** Group the students at indices [0, 1] . Then, we’ll have a resulting strength of 20. We cannot achieve greater strength.
**Constraints:**
* `1 <= nums.length <= 13`
* `-9 <= nums[i] <= 9`