Fenwick Tree (Binary Indexed Tree) for multi-dimensional arrays
For 2-D arrays, we can use the same idea as 1-D array. Here, instead of storing Partial Sums of range [l to r], we store the Partial Sum of submatrix [l1 to r1][l2 to r2]. Refer this article to explore further about 2-D Fenwick Tree.
Similarly, for 3-D array, we can store the Partial Sum of submatrix[l1 to r1][l2 to r2][l3 to r3]. Refer this article to explore further about 3-D Fenwick Tree.
Fenwick Tree (Binary Indexed Tree) for Competitive Programming
In the world of competitive programming, speed is everything. Fenwick Tree (also known as Binary Indexed Tree), created by Peter M. Fenwick. They’re like secret weapons for programmers, especially when you need to quickly find cumulative frequencies in problem-solving. This article breaks down Fenwick Trees in simple terms—how they’re built and why they’re handy for competitive programming. Whether you’re starting out or a pro looking for a speed boost, Fenwick Trees could be your key to success in coding competitions. Let’s dive in!
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