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Fenwick Tree

understand Fenwick Tree and be able to use them in problems

Course Curriculum

Section 1. Fenwick Tree

1. LESSON

Introduction to Fenwick Tree

Welcome to the Introduction to Fenwick Tree! In the realm of data structures, there are various trees that are widely used, such as binary trees, AVL trees, and red-black trees. However, there is one tree that stands out in terms of its efficiency and effectiveness in solving range query and point update problems: the Fenwick Tree. What is a...

25 minutes Mark Completed

2. LESSON

Fenwick Tree Construction

Welcome to the Introduction to Fenwick Trees! Fenwick Trees, also known as Binary Indexed Trees, are a data structure that efficiently supports prefix sum queries. They are often used to solve problems that involve range queries, such as finding the sum of elements in a given range. #include using namespace std; int main() {...

29 minutes Mark Completed

3. LESSON

Fenwick Tree Query Operations

What is a Fenwick Tree? A Fenwick Tree, also known as a Binary Indexed Tree (BIT), is a data structure that allows efficient querying and updating of cumulative sums of elements in an array. It was invented by Peter Fenwick in 1994 and is commonly used in computational geometry, graph algorithms, and other applications where prefix sums and r...

36 minutes Mark Completed

4. LESSON

Fenwick Tree Update Operations

Introduction to Fenwick Tree Fenwick Tree, also known as Binary Indexed Tree (BIT), is a data structure that allows efficient updates and range queries. It is often used when we need to update and retrieve prefix sums of an array. Properties of Fenwick Tree The Fenwick Tree is represented by an array of values called BIT. The size of...

27 minutes Mark Completed

5. LESSON

Advanced Fenwick Tree Concepts

Introduction to Fenwick Trees Fenwick Trees, also known as Binary Indexed Trees (BIT), are a data structure that efficiently allows for querying and updating cumulative sums over a dynamic array or sequence. The structure was proposed by Peter M. Fenwick in 1994 and is often used as a more efficient alternative to prefix sums or cumulative fr...

33 minutes Mark Completed

6. LESSON

Solving Problems with Fenwick Tree

Introduction to Fenwick Trees Fenwick Trees, also known as Binary Indexed Trees (BIT), are a specialized data structure used to efficiently update and query prefix sums of an array. Imagine you have an array of elements and you need to perform two types of operations: Update: Change the value of an element at a given index Query: Calc...

41 minutes Mark Completed