How to Solve Maximum Strength of a Group Problem
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Maximum Strength of a Group
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 ...
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Understanding the Maximum Strength of a Group Problem
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Problem Statement
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.
Maximum Strength of a Group
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Examples
nums = [3,-1,-5,2,5,-9]
1350
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.
nums = [-4,-5,-4]
20
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
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