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

<p>Return <em>the <strong>maximum</strong> value of </em><code>nums[i] + nums[j]</code><em> that you can obtain over all possible indices </em><code>i</code><em> and </em><code>j</code><em> that satisfy the conditions.</em></p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> nums = [18,43,36,13,7]
<strong>Output:</strong> 54
<strong>Explanation:</strong> 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.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> nums = [10,12,19,14]
<strong>Output:</strong> -1
<strong>Explanation:</strong> There are no two numbers that satisfy the conditions, so we return -1.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>1 &lt;= nums.length &lt;= 10<sup>5</sup></code></li>
	<li><code>1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
</ul>

from collections import defaultdict
class Solution:
    def maximumSum(self, nums: List[int]) -> int:  
        n_map = defaultdict(int)
        max_sum = -1

        for num in nums:
            sum_of_digits = sum(int(digit) for digit in str(num))
            if sum_of_digits in n_map:
                max_sum = max(max_sum, n_map[sum_of_digits]+num)
            n_map[sum_of_digits] = max(n_map[sum_of_digits], num)
        
        return max_sum
        """
        nums.sort(reverse=True)
        print("Sorted input array in decreasing order", nums)
        n_map = {} # key = sum of digits of a nums[i] and value = first occurence of nums[i]
        
        for num in nums:
            sum_of_digits = reduce(lambda a, b: int(a)+int(b), str(num))
            print(f"Sum of digits of {num} = {sum_of_digits}")
            if sum_of_digits in n_map:
                return n_map[sum_of_digits]+ num
            n_map[sum_of_digits] = num
            print("Current map ", n_map)

        return -1
        """
31600