Greatest Sum Divisible by Three

Given an integer array nums, return the maximum possible sum of elements of the array such that it is divisible by three.

Example 1
Inputnums = [3,6,5,1,8]
Output18
Pick numbers 3, 6, 1, and 8; their sum is 18, which is the maximum sum divisible by 3.
Example 2
Inputnums = [4]
Output0
Since 4 is not divisible by 3, do not pick any number.

Constraints

  • 1 <= nums.length <= 4 * 10^4
  • 1 <= nums[i] <= 10^4

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