How to Solve Smallest Subtree with all the Deepest Nodes Problem
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Smallest Subtree with all the Deepest Nodes
Given the root of a binary tree, the depth of each node is the shortest distance to the root. Return the smallest subtree such that it contains all the deepest nodes in the original tree. A node is ca...
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Understanding the Smallest Subtree with all the Deepest Nodes Problem
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Problem Statement
Given the root of a binary tree, the depth of each node is the shortest distance to the root. Return the smallest subtree such that it contains all the deepest nodes in the original tree. A node is called the deepest if it has the largest depth possible among any node in the entire tree. The subtree of a node is a tree consisting of that node, plus the set of all descendants of that node.
Smallest Subtree with all the Deepest Nodes
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Examples
root = [3,5,1,6,2,0,8,null,null,7,4]
[2,7,4]
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.
root = [1]
[1]
The root is the deepest node in the tree.
root = [0,1,3,null,2]
[2]
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.
Constraints
The number of nodes in the tree will be in the range [1, 500].
0 <= Node.val <= 500
The values of the nodes in the tree are unique.
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