Given the array of integers nums, you will choose two different indices i and j of that array. Return the maximum value of (nums[i]-1)*(nums[j]-1).
Example 1:
Input: nums = [3,4,5,2]
Output: 12
Explanation: If you choose the indices i=1 and j=2 (indexed from 0), you will get the maximum value, that is, (nums[1]-1)(nums[2]-1) = (4-1)(5-1) = 3*4 = 12.
Example 2:
Input: nums = [1,5,4,5]
Output: 16
Explanation: Choosing the indices i=1 and j=3 (indexed from 0), you will get the maximum value of (5-1)*(5-1) = 16.
Example 3:
Input: nums = [3,7]
Output: 12
Constraints:
- 2 <= nums.length <= 500
- 1 <= nums[i] <= 10^3
Solution in python:
class Solution:
def maxProduct(self, nums: List[int]) -> int:
first = max(nums[0], nums[1])
second = min(nums[0], nums[1])
for i in range(2, len(nums)):
if nums[i] >= first and nums[i] > second:
second = first
first = nums[i]
elif nums[i] > second and nums[i] < first:
second = nums[i]
return (first-1)*(second-1)
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