Given an array nums
of integers, we need to find the maximum
possible sum of elements of the array such that it is divisible by three.
Example 1:
Input: nums = [3,6,5,1,8] Output: 18 Explanation: Pick numbers 3, 6, 1 and 8 their sum is 18 (maximum sum divisible by 3).
Example 2:
Input: nums = [4] Output: 0 Explanation: Since 4 is not divisible by 3, do not pick any number.
Example 3:
Input: nums = [1,2,3,4,4] Output: 12 Explanation: Pick numbers 1, 3, 4 and 4 their sum is 12 (maximum sum divisible by 3).
Constraints:
1 <= nums.length <= 4 * 10^4
1 <= nums[i] <= 10^4