The content of this video lecture Binary Tree-Nodes at Distance K from Given Node is not well explained UNLIKE other videos. Kindly help me with understanding this. I have not at all understood this topic.
Thank you!
The content of this video is not well explained
hello @rkganeshan2010
Intuition
From root , say the target node is at depth 3 in the left branch. It means that any nodes that are distance K - 3 in the right branch should be added to the answer.
Algorithm
Traverse every node with a depth first search dfs . We’ll add all nodes x to the answer such that node is the node on the path from x to target that is closest to the root .
To help us, dfs(node) will return the distance from node to the target . Then, there are 4 cases:
- If
node == target, then we should add nodes that are distanceKin the subtree rooted attarget. - If
targetis in the left branch ofnode, say at distanceL+1, then we should look for nodes that are distanceK - L - 1in the right branch. - If
targetis in the right branch ofnode, the algorithm proceeds similarly. - If
targetisn’t in either branch ofnode, then we stop.
In the above algorithm, we make use of the auxillary function subtree_add(node, dist) which adds the nodes in the subtree rooted at node that are distance K - dist from the given node .


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