Binary Indexed Tree Archives

Last Updated: 23 July 2025

Given a tree of n nodes, the task is to count the number of distinct paths that have at least k1 and at most k2 edges.Example:Input: n = 5, k1 = 2, k2 = 3, edges = {{1, 2...read more

Graph

Optimal Construction of Roads

Last Updated: 23 July 2025

Given a connected graph with N nodes and N-1 bidirectional edges given by a 2D array edges[][], such that edges[i] = {u, v, w} states that there is a bidirectional edge be...read more

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DSA

Binary Indexed Tree

Geeks Premier League 2023

Sum and Update Queries on 3D Matrix in log(N) time

Last Updated: 23 July 2025

Given a 3D matrix mat[][][] of size NXNXN with all its elements initialized to 0, the task is to answer Q queries. The queries are given in the form of 2D matrix queries[]...read more

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DSA

Binary Indexed Tree

Geeks Premier League 2023

Sum and Update Queries on 2D Matrix

Last Updated: 23 July 2025

Given a 2D matrix mat[][] of size NXN with all its elements initialized to 0, the task is to answer Q queries. Each query[i] can be one of the following types:Type 1 [1, x...read more

DSA

array-range-queries

Binary Indexed Tree

Maximizing Toy Purchases with Budget Constraints and Broken Toys

Last Updated: 23 July 2025

Given N toys in a shop. The cost of each toy is represented by an array A[]. You are given Q queries, For ith query, you have a C amount of money which you can use to purc...read more

Geeks Premier League 2023

Fenwick Tree (Binary Indexed Tree) for Competitive Programming

Last Updated: 23 July 2025

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 fo...read more

Competitive Programming

Binary Indexed Tree

Searching in Binary Indexed Tree using Binary Lifting in O(LogN)

Last Updated: 02 October 2023

Binary Indexed Tree (BIT) is a data structure that allows efficient queries of a range of elements in an array and updates on individual elements in O(log n) time complexi...read more

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DSA

Binary Indexed Tree

Count-based Absolute difference for Array element

Last Updated: 15 September 2023

Given an array of integers, A[] of size N. For each ith element in the array, calculate the absolute difference between the count of numbers that are to the left of i and ...read more

Implementation of compressed 2D Binary Indexed tree

Last Updated: 17 October 2023

A compressed 2D Binary Indexed Tree (BIT) is a data structure that is used to efficiently store and query two-dimensional arrays, particularly when the values in the array...read more

Binary Indexed Tree/Fenwick Tree meaning in DSA

Last Updated: 23 July 2025

Binary Indexed Tree (BIT), also known as Fenwick Tree, is a data structure used for efficiently querying and updating cumulative frequency tables, or prefix sums.A Fenwick...read more

Tree

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DSA

Definitions and Meanings

Binary Indexed Tree

C++ Program to Count Inversions of size three in a given array

Last Updated: 23 July 2025

Given an array arr[] of size n. Three elements arr[i], arr[j] and arr[k] form an inversion of size 3 if a[i] > a[j] >a[k] and i Example : Input: {8, 4, 2, 1}Output: 4The...read more

C++

Binary Indexed Tree

inversion

Java Program for Count Inversions of size three in a given array

Last Updated: 23 July 2025

Given an array arr[] of size n. Three elements arr[i], arr[j] and arr[k] form an inversion of size 3 if a[i] > a[j] >a[k] and i Example : Input: {8, 4, 2, 1}Output: 4The...read more

Java

Binary Indexed Tree

inversion

Python Program to Count Inversions of size three in a given array

Last Updated: 23 July 2025

Given an array arr[] of size n. Three elements arr[i], arr[j] and arr[k] form an inversion of size 3 if a[i] a[j] a[k] and i j k. Find total number of inversions of siz...read more

Python

Binary Indexed Tree

inversion

Javascript Program to Count Inversions of size three in a given array

Last Updated: 23 July 2025

Given an array arr[] of size n. Three elements arr[i], arr[j] and arr[k] form an inversion of size 3 if a[i] a[j] a[k] and i j k. Find total number of inversions of siz...read more

JavaScript

Binary Indexed Tree

inversion

PHP Program to Count Inversions of size three in a given array

Last Updated: 23 July 2025

Given an array arr[] of size n. Three elements arr[i], arr[j] and arr[k] form an inversion of size 3 if a[i] a[j] a[k] and i j k. Find total number of inversions of siz...read more

PHP

Binary Indexed Tree

inversion