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What are Segment Trees?

  • Segment Trees are a data structure used to perform range queries efficiently.
  • The code provided shows a basic implementation of a Segment Tree to find the maximum value in a given range.
  • The implementation includes functions for building the segment tree and querying the maximum value in a specified range.
  • The build function constructs the segment tree recursively by storing the maximum value at each node.
  • The query function is used to find the maximum value in a specified range [l, r] efficiently using the segment tree.
  • The main function reads input, builds the segment tree, and performs range queries based on user input.
  • The segment tree is initialized with size 4*n to ensure sufficient space for building the tree.
  • The code snippet also provides a test case example for better understanding and includes a space complexity analysis.
  • Space complexity of the Segment Tree is O(n) where n is the size of the input array.
  • Time complexity for building the tree is O(n), querying is O(log n), and updating is also O(log n).
  • Overall, Segment Trees are useful for efficient range query operations on arrays and have O(log n) query time complexity.

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