<p>Given the <code>root</code> of a binary tree, the depth of each node is <strong>the shortest distance to the root</strong>.</p> <p>Return <em>the smallest subtree</em> such that it contains <strong>all the deepest nodes</strong> in the original tree.</p> <p>A node is called <strong>the deepest</strong> if it has the largest depth possible among any node in the entire tree.</p> <p>The <strong>subtree</strong> of a node is a tree consisting of that node, plus the set of all descendants of that node.</p> <p> </p> <p><strong>Example 1:</strong></p> <img alt="" src="https://s3-lc-upload.s3.amazonaws.com/uploads/2018/07/01/sketch1.png" style="width: 600px; height: 510px;" /> <pre> <strong>Input:</strong> root = [3,5,1,6,2,0,8,null,null,7,4] <strong>Output:</strong> [2,7,4] <strong>Explanation:</strong> We return the node with value 2, colored in yellow in the diagram. The nodes coloured in blue are the deepest nodes of the tree. Notice that nodes 5, 3 and 2 contain the deepest nodes in the tree but node 2 is the smallest subtree among them, so we return it. </pre> <p><strong>Example 2:</strong></p> <pre> <strong>Input:</strong> root = [1] <strong>Output:</strong> [1] <strong>Explanation:</strong> The root is the deepest node in the tree. </pre> <p><strong>Example 3:</strong></p> <pre> <strong>Input:</strong> root = [0,1,3,null,2] <strong>Output:</strong> [2] <strong>Explanation:</strong> The deepest node in the tree is 2, the valid subtrees are the subtrees of nodes 2, 1 and 0 but the subtree of node 2 is the smallest. </pre> <p> </p> <p><strong>Constraints:</strong></p> <ul> <li>The number of nodes in the tree will be in the range <code>[1, 500]</code>.</li> <li><code>0 <= Node.val <= 500</code></li> <li>The values of the nodes in the tree are <strong>unique</strong>.</li> </ul> <p> </p> <p><strong>Note:</strong> This question is the same as 1123: <a href="https://leetcode.com/problems/lowest-common-ancestor-of-deepest-leaves/" target="_blank">https://leetcode.com/problems/lowest-common-ancestor-of-deepest-leaves/</a></p>