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Binary Tree : 6 Core Problems with Intuition & Optimized Code

  • Binary Trees are crucial in computing and mastering them is essential for tech interviews at top companies like Google, Amazon, and Microsoft.
  • Understanding recursive thinking, depth-first search, and optimal tree traversals is key in solving classic binary tree problems.
  • Height of a binary tree is calculated recursively by finding the maximum depth from root to leaf nodes.
  • A height-balanced binary tree ensures that the height difference between left and right subtrees of every node is at most 1 for better performance.
  • Calculating diameter in a binary tree involves finding the longest path between any two nodes, which may or may not pass through the root.
  • Finding the maximum path sum in a binary tree involves considering all possible paths for each node and recursively combining the results.
  • Checking for identical binary trees involves traversing both simultaneously and comparing node pairs.
  • Zig Zag or Spiral Level Order Traversal is a unique way of traversing a binary tree with alternating left to right and right to left movements.
  • Optimizing Zig Zag traversal by using two stacks helps maintain the zig-zag pattern without needing to reverse elements.
  • Mastering binary trees goes beyond mere coding skills and involves recursive thinking and understanding traversal patterns.

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