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Problem

Given an integer array nums, find three numbers whose product is maximum and return the maximum product.

Example 1:

Input: nums = [1,2,3]
Output: 6

Example 2:

Input: nums = [1,2,3,4]
Output: 24

Example 3:

Input: nums = [-1,-2,-3]
Output: -6

Constraints:

  • $3 <= nums.length <= 10^4$
  • -1000 <= nums[i] <= 1000

Code

414. Third Maximum Number

class Solution {
    public int maximumProduct(int[] nums) {
        int max1 = Integer.MIN_VALUE;
        int max2 = Integer.MIN_VALUE;
        int max3 = Integer.MIN_VALUE;
        int min1 = Integer.MAX_VALUE;
        int min2 = Integer.MAX_VALUE;

        for (int num : nums) {
            if (num > max1) {
                max3 = max2;
                max2 = max1;
                max1 = num;
            } else if (num > max2) {
                max3 = max2;
                max2 = num;
            } else if (num > max3) {
                max3 = num;
            }

            if (num < min1) {
                min2 = min1;
                min1 = num;
            } else if (num < min2) {
                min2 = num;
            }
        }

        return Math.max(max1 * max2 * max3, max1 * min1 * min2);
    }
}