3732. Maximum Product of Three Elements After One Replacement
You are given an integer array nums.
You must replace exactly one element in the array with any integer value in the range [-105, 105] (inclusive).
After performing this single replacement, determine the maximum possible product of any three elements at distinct indices from the modified array.
Return an integer denoting the maximum product achievable.
Example 1:
Input: nums = [-5,7,0]
Output: 3500000
Explanation:
Replacing 0 with -105 gives the array [-5, 7, -105], which has a product (-5) * 7 * (-105) = 3500000. The maximum product is 3500000.
Example 2:
Input: nums = [-4,-2,-1,-3]
Output: 1200000
Explanation:
Two ways to achieve the maximum product include:
[-4, -2, -3]→ replace -2 with 105 → product =(-4) * 105 * (-3) = 1200000.[-4, -1, -3]→ replace -1 with 105 → product =(-4) * 105 * (-3) = 1200000.
Example 3:
Input: nums = [0,10,0]
Output: 0
Explanation:
There is no way to replace an element with another integer and not have a 0 in the array. Hence, the product of all three elements will always be 0, and the maximum product is 0.
Constraints:
3 <= nums.length <= 105-105 <= nums[i] <= 105
Hints
Hint 1
nums and 105.