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Concept
Binary Indexed Tree
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Summary
The
Binary Indexed Tree
(BIT), also known as a
Fenwick Tree
, is a
Data Structure
that helps in
Efficiently updating elements
and
Calculating prefix sums
in a
Dynamic Array
. With a
Time Complexity
of O(log n) for both updates and
Prefix sum calculations
, BIT is particularly useful in scenarios where
Repeated queries
and updates are frequent, such as in
Competitive programming
or
Real-time Data Processing
.
Concepts
Prefix Sum
Logarithmic Time Complexity
Fenwick Tree
Range Query
Point Update
Dynamic Array Management
Overlapping Intervals
Range Queries
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