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<h2><a href="https://leetcode.com/problems/kth-largest-sum-in-a-binary-tree/?envType=daily-question&envId=2024-10-22">2583. Kth Largest Sum in a Binary Tree</a></h2><h3>Medium</h3><hr><p>You are given the <code>root</code> of a binary tree and a positive integer <code>k</code>.</p> | ||
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<p>The <strong>level sum</strong> in the tree is the sum of the values of the nodes that are on the <strong>same</strong> level.</p> | ||
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<p>Return<em> the </em><code>k<sup>th</sup></code><em> <strong>largest</strong> level sum in the tree (not necessarily distinct)</em>. If there are fewer than <code>k</code> levels in the tree, return <code>-1</code>.</p> | ||
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<p><strong>Note</strong> that two nodes are on the same level if they have the same distance from the root.</p> | ||
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<p> </p> | ||
<p><strong class="example">Example 1:</strong></p> | ||
<img alt="" src="https://assets.leetcode.com/uploads/2022/12/14/binaryytreeedrawio-2.png" style="width: 301px; height: 284px;" /> | ||
<pre> | ||
<strong>Input:</strong> root = [5,8,9,2,1,3,7,4,6], k = 2 | ||
<strong>Output:</strong> 13 | ||
<strong>Explanation:</strong> The level sums are the following: | ||
- Level 1: 5. | ||
- Level 2: 8 + 9 = 17. | ||
- Level 3: 2 + 1 + 3 + 7 = 13. | ||
- Level 4: 4 + 6 = 10. | ||
The 2<sup>nd</sup> largest level sum is 13. | ||
</pre> | ||
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<p><strong class="example">Example 2:</strong></p> | ||
<img alt="" src="https://assets.leetcode.com/uploads/2022/12/14/treedrawio-3.png" style="width: 181px; height: 181px;" /> | ||
<pre> | ||
<strong>Input:</strong> root = [1,2,null,3], k = 1 | ||
<strong>Output:</strong> 3 | ||
<strong>Explanation:</strong> The largest level sum is 3. | ||
</pre> | ||
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<p> </p> | ||
<p><strong>Constraints:</strong></p> | ||
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<ul> | ||
<li>The number of nodes in the tree is <code>n</code>.</li> | ||
<li><code>2 <= n <= 10<sup>5</sup></code></li> | ||
<li><code>1 <= Node.val <= 10<sup>6</sup></code></li> | ||
<li><code>1 <= k <= n</code></li> | ||
</ul> |