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Implementation of Binary Indexed Tree
A Binary Indexed Tree is designed to efficiently compute prefix sums and handle updates in logarithmic time. It achieves this by storing cumulative information at specific indices, enabling quick retrieval and updates.
Structure of BIT
For an input array of size n
, the BIT is typically represented as an array of size n + 1
, with the 0-th index left unused for simplicity. The key idea is that each index in the BIT array represents a sum of elements from the input array, covering different ranges.
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