<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:
        dic = defaultdict(list)

        for num in nums:
            digisum = sum([int(v) for v in str(num)])
            if len(dic[digisum]) < 2:
                dic[digisum].append(num)
                continue
            if num > min(dic[digisum]):
                dic[digisum] = sorted(dic[digisum] + [num], reverse = True)[:2]

        ans = -1
        for k in dic:
            if len(dic[k]) == 2:
                ans = max(ans, sum(dic[k]))
        return ans


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