LeetCode-in-Java

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:

Solution

import java.util.ArrayList;
import java.util.List;

public class Solution {
    public long maxStrength(int[] nums) {
        List<Integer> filtered = new ArrayList<>();
        long product = 1L;
        boolean hasZero = false;
        for (int num : nums) {
            if (num == 0) {
                hasZero = true;
                continue;
            }
            filtered.add(num);
            product *= num;
        }
        if (filtered.isEmpty()) {
            return 0;
        }
        if (filtered.size() == 1 && filtered.get(0) <= 0) {
            return hasZero ? 0 : filtered.get(0);
        }
        long result = product;
        for (int num : nums) {
            if (num == 0) {
                continue;
            }
            result = Math.max(result, product / num);
        }
        return result;
    }
}