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g2701_2800.s2708_maximum_strength_of_a_group.readme.md Maven / Gradle / Ivy

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`