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Max Sum of a Pair With Equal Sum of Digits

You are given a 0-indexed array nums consisting of positive integers.

You are given a 0-indexed array nums consisting of positive integers. You can choose two indices i and j, such that i != j, and the sum of digits of the number nums[i] is equal to that of nums[j].

Return the maximum value of nums[i] + nums[j] that you can obtain over all possible indices i and j that satisfy the conditions. If no such pair of indices exists, return -1.

Max Sum of a Pair With Equal Sum of Digits diagram

Example 1

Input: nums = [18,43,36,13,7]

Output: 54

Explanation: The pairs (i, j) that satisfy the conditions are: - (0, 2), both numbers have a sum of digits equal to 9, and their sum is 18 + 36 = 54. - (1, 4), both numbers have a sum of digits equal to 7, and their sum is 43 + 7 = 50. So the maximum sum that we can obtain is 54.

Example 2

Input: nums = [10,12,19,14]

Output: -1

Explanation: There are no two numbers that satisfy the conditions, so we return -1.

Constraints

  • 1 <= nums.length <= 10^5
  • 1 <= nums[i] <= 10^9

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