Fenwick tree vs segment tree codeforces. Segment trees with Fenwick.

Fenwick tree vs segment tree codeforces With array size of 1<<18 and 1e7 randomly chosen operations between modifications and queries. Assume without loss of generality that N = 2 n; we can generally pad the computations accordingly. And in every query both takes O(log(n)) times. than this tree is a generalization of interval and segment trees. I found only one article about counter Fenwick Tree (Russian only), which is supposed to expand the capabilities of an ordinary Fenwick tree, and couldn't figure it out. I want to study this approach and solve different problems but I can't easy find this problems. Why learn it as this stage? I mean yeah it sounds cool, a segment tree, an advanced data structure that can do almost anything on ranges of an array, All in O(log), but, a harsh truth: A segment tree won't solve a problem, it'll make a solved problem implementable, u don't solve problem using it, u → Pay attention Before contest Refact. Let's assume that BIT(i) is non-decreasing for all i and prove the following lemma:. 0; Segment tree necessary to recalculate prefix sums after first query, and find max in the range. Example : Consider this problem : We have n vectors, a 1, a 2, , a n and all of them are initially empty Hello CodeForces! I have the following problem : Given a rooted tree, i have 2 types of queries: 1 q: Mark the Node q colored/uncolored. → Pay attention Codeforces Round 937 Solution Discussion. Before stream 26:29:35. iterative implementation takes $$$2N$$$ space instead of $$$4N$$$ space). Before contest 2024-2025 ICPC, NERC, Southern and Volga Russian Regional Contest (Unrated, Online Mirror, ICPC Rules, Preferably Teams) 2 days Register now » ¶ Tất tần tật về Cây Phân Đoạn (Segment Tree) Bài toán: 380C-Codeforces xin giới thiệu một loại cây khác cũng sử dụng nhiều trong cây phân đoạn đó chính là Cây Fenwick (Binary Indexed Tree): *has extra registration. As far as I know, most problems that can be solved with a fenwick tree can also be solved with a segment tree. Segment trees are cool and can do lots of different things, but in this article, we will focus on their simplest non-trivial application — the dynamic prefix Codeforces. Like a Fenwick tree, a segment tree is also based on the divide-and Codeforces. DFS; Preorder traversal (DFS order) Fenwick tree; Binary Codeforces. Programming competitions and contests, programming community . k. Now, let BIT(i) represent the value stored at index i in a binary-indexed tree/fenwick tree. Example : Consider this problem : We have n vectors, a 1, a 2, , a n and all of them are initially empty Consider the fact that the bits in any element are independent from each other under these two operations. This blog is about an alternative way to implement segment trees. Stream is running. Revision en1, by mokoto, 2019-05-31 16:46:22 can someone provide me good tutorials on 2d segment tree and 2d fenwick tree, from where he/she studied. n is too big for us to make a table of length n (let's say ~ 10 000 000 000) Codeforces. An example of a range query would be this: "What is the sum of the numbers indexed from [1 efficiently. But i find that the method illustrated requires O(n^2) operations as N times he queries the Trie each of which takes linear time. 4) 46:10:13 Register now For preprocessing in segment tree and sparse table Both takes O(nlogn) times. ! #segment tree, #segment-trees, #implementation, #fenwick tree +7; PR_0202 4 years ago; You are moving in the array from left to right and storing sums at position at $$$A[i]$$$ so the $$$bit. Idea behind Fenwick Trees: Consider Fenwick tree as an array F[] with 1-based indexing, such that every index of array stores Partial Sum of range. Minimize the Difference . ! Then for range update we are using fenwick tree or Segment tree so it will be O(log2(N You are moving in the array from left to right and storing sums at position at $$$A[i]$$$ so the $$$bit. Segment trees with Fenwick. Sort-Fenwick: Fenwick Trees are More Powerful than I Thought - Codeforces; Fenwick Tree - cp-algorithm; Fenwick Tree, Sparse Table - YouTube Codeforces. Segment tree with Vector: 369E - Valera and Queries 610D - Vika and Segments. Recently I decided to take a closer look at data structure called Fenwick tree or binary indexed tree. Before stream 26:36:48. djm03178 I've recently implemented a Fenwick Tree (probably better known a Binary Indexed Tree or a BIT) supporting range-based and point-based sum Codeforces Round 996 Solution Discussion. However, recently I came up with an idea how to use this trick with binary liftings to modify the Fenwick tree and use it, for Codeforces. g. j agan028 → Questions that are like; "Construct a grid which satisfies xyz conditions" Dominater069 → One can solve these problems using tree decomposition techniques like heavy-light decomposition or centroid decomposition, but that's a bit of an overkill. An example of a range query would be this: "What is the sum of the numbers indexed from [1 A Fenwick Tree (a. I know that Fenwick tree can be used for min-max queries but it is harder to implement than segment trees (I haven't seen anybody using it yet). Using it, we can solve the given problem online (i. People also say that it’s easier to code a Fenwick tree for multidimentional data. Segment Tree & Bits: 482B - Interesting Array 242E - XOR on Segment. BIT vs Segmen Tree. 2) 38:13:20 Register now Если вы интересуетесь фулл-тайм работой в Nebius, заполните форму. *has extra registration → Лидеры (рейтинг) № Пользователь Рейтинг; 1: t ourist: 3775: 2: R adewoosh: 3752: 3: B enq: 3724: 4: o rzdevinwang: 3697: 5: j Also, the constant factor is not very pleasant in comparison to static trees like segment tree or Fenwick tree, but I don't think that it is a fair comparison. e without preprocessing the queries). Gladiator_King → Problems about "Segment Tree Graphs" rmz → I have a theory a rating theory . However, this doesn't work with updates as far as i know. The choice depends on the specific problem requirements and the trade-offs between implementation complexity, This is a Online Approach to the problem in O((N+Q)*logN) using persistent segment tree. They take up less space (by a constant factor) and are quicker to code, but they are You're wrong. If by "this tree" your teacher meant "the binary indexed tree", then he is wrong. Also, I think a thing worth mentioning is that segment trees can be directly utilized on incomplete rooted binary trees, Hmm, my model solution uses a fenwick tree. This segment tree supports range addition updates and range maximum queries, however the functioning can be changed by changing just the above 3 functions. #data structure. I think the following idea works: maintain a fenwick tree on values initialized with 0. You can easily understand and Codeforces. I am confused about how to get sum from a node y to its ancestor x using a segment tree. It's good to know that segment tree exists. An example of a range query would be this: "What is the sum of the numbers indexed from [1 NetSpeed1 → Codeforces Global Round 28 Editorial . If are already confident enough of your skills, you can skip reading most of the content and go to practice the last problem directly. Offline Query: 301D - Yaroslav and Divisors 500E - New Year Domino. This is a real thing. Example : Consider this problem : We have n vectors, a 1, a 2, , a n and all of them are initially empty Before contest Codeforces Round 997 (Div. Before contest Codeforces Round 938 (Div. I'm currently learning fenwick tree and I find it quite difficult (in my opinion, it's more difficult than segment tree). Codeforces. The recently held Educational Codeforces Round 87 was full of controversies. or n-Dimensional area using a range tree, but can't you do the same thing with a 1-D, 2-D, or n-D Fenwick (Binary Indexed) Tree SashaT9 → Codeforces Round 943 (Div. Programming competitions and contests, programming community especially Range Tree and Segment Tree. Any comments and suggestions are welcome! This blog is about how to solve segment tree problems generally, including not only the classic range sum/minimum/maximum, but also some other complex cases. sum(A[i])$$$ returns the sum from $$$1\ to\ A[i]$$$. Benchmarks of different segment tree implementations. I wrote a SIMD-friendly segment tree ("wide segment tree") that is up to 10x faster than the Fenwick tree and the bottom-up segment tree: The article also explains in detail how all the other popular segment tree implementations work and how to optimize them (fun fact: the Fenwick tree can be made 3x faster on large arrays if you insert "holes Codeforces. There has been attempts at reducing the space required to build a segment Compared to Fenwick Tree, Segment Tree is a more general-purpose data structure used to efficiently perform range-based queries and range updates on an array. Revision en2, by pavook, 2022-06-30 23:40:01 Fenwick Tree . Example : Consider this problem : We have n vectors, a 1, a 2, , a n and all of them are initially empty Codeforces. Solution: Segment Tree as a structure. An example of a range query would be this: "What is the sum of the numbers indexed from [1,x]?" You're wrong. Sometimes the difference is even logarithmic because treaps have no inner structure on nodes, so you can't do a parallel binary search on two treaps simultaneously, but I doubt any Codeforces Educational Round 167 Solution Discussion (with Shayan) By Shayan. × → Pay attention Example : Problem 76A - Gift, you can read my source code with this type of segment trees . Also, consider some associative binary function f. 2) For this reason, I prefer the fenwick tree over the segment tree on many problems. The delay in its start, the overlap with Google Code Jam and then the many complaints that problems B, C1, C2 and D were all google-able! For a general use case, you still need to use either Fenwick trees, segment trees, treaps or some policy based data structures I've recently implemented a Fenwick Tree (probably better known a Binary Indexed Tree or a BIT) supporting range-based and point-based sum queries as well as updates, in C++ 14. Before stream 21:41:29. An example of a range query would be this: "What is the sum of the numbers indexed from [1 this doesn't need lazy, u just made a problem, a harder one for no reason: 278260614. Hello coders, can anyone pin some basics segment tree problem where the concept of lazy propoagtion may be used but the level of question should be easy to medium Codeforces. a Binary Indexed Tree, or BIT) is a fairly common data structure. They also allow quick updates on individual data points. → Pay attention Main idea: in dynamic segment tree we create a node only when we need in it. Now you need to solve the problem for each of the $$$\log A$$$ bits, but this time the elements can only take values $$$[0,1]$$$. BITs are like a lightweight form of a segment tree. Segment Tree & Dp: 474E - Pillars 597C - Subsequences 56E - Domino Principle. 0; flash_7 And since you have only point queries, then Fenwick tree is enough A Fenwick Tree (a. 3) Editorial . There are some advance use cases of Fenwick trees as well, see the References. 4) FatihCihan → How I became an LGM . 2, with prizes from NEAR!) 24:14:50 Register now A Fenwick Tree (a. But How sparse Table faster than Segment tree? Thanks in Advance. The easiest problem where I've used a segment tree during a contest on Codeforces is 1513F - Swapping Problem (rating: 2500), whose intended solution doesn't require segment tree. Before stream 26:31:48. Examples of f include sum, min, max, or gcd (as in the Timus problem). View all →: → Top rated # User Rating; 1: j iangly: 3744: 2: m Hi, CodeForces. In our solution, We only use the structure and ideas of segment tree (complete binary tree). An example of a range query would be this: "What is the sum of the numbers indexed from [1,x]?" Codeforces. 2, Rated, Prizes!) 2 days Register now ». Examples of f f I did some speed comparison between recursive and non-recursive lazy segment trees. → Pay attention The idea of that problem is to count the amount each edge contributes to the answer. 3) 34:04:30 Register now Before contest Educational Codeforces Round 164 (Rated for Div. AMA: TheOneYouWant (3 times ICPC World Finalist, IITB, Stanford) Segment Tree is a data structures that allows efficient querying and updating of intervals or segments of an array. 2) 36:26:45 Register now Codeforces. x we need to subtract sum(1,y-1)accordingly to obtain answer where as segment tree Example : Problem 76A - Gift, you can read my source code with this type of segment trees . Programming competitions and contests, programming community. An example of a range query would be this: "What is the sum of the numbers indexed from [1 Example : Problem 76A - Gift, you can read my source code with this type of segment trees . Sometimes the difference is even logarithmic because treaps have no inner structure on nodes, so you can't do a parallel binary search on two treaps simultaneously, but I doubt any Codeforces. Programming competitions and contests, programming community Hello, I need some problems which I can solve with scanline + segment tree / fenwick. Atcoder ABC #339 Solution Discussion. now iterate from left to right at each index the value for this index is prefix_sum of (A[i]-1)*(A[i]) this prefix sum can be calculated in logn time with fenwick tree After processing this index add 1 to A[i] in fenwick tree Example : Problem 76A - Gift, you can read my source code with this type of segment trees . there is query of 10^5 order consists of update and find sum of the nodes between them. Before we begin, I'd like to say that you should have at least a decent understanding of binary indexed trees I did some speed comparison between recursive and non-recursive lazy segment trees. Solving the question using Segment Tree, Merge Sort Tree, Fenwick Treehttps://codeforces. An example of a range query would be this: "What is the sum of the numbers indexed from [1 Codeforces. Programming competitions and contests, programming community I am confused about how to get sum from a node y to its ancestor x using a segment tree. An example of a range query would be this: "What is the sum of the numbers indexed from [1 Before contest XVIII Open Olympiad in Informatics - Final Stage, Day 1 (Unrated, Online Mirror, IOI rules) 14:26:19 Register now ». In this blogpost I will only consider Fenwick tree for sum, but everything stated there can be easily generalized for any Codeforces. In this blogpost I will only consider Fenwick tree for sum, but everything stated there can be easily generalized for any associative, commutative and inversable operation. Not to mention a lot easier to code with a lot less lines of code. Disclaimer. tl;dr. But today I decided to back up the choice with some data and I ran benchmarks against 4 implementations: Codeforces. Thanks A Fenwick Tree (a. fenwick +9; While segment trees can be used to solve certain problems that monotonic stacks can, they are not universally interchangeable. In this blog post, I will describe a way to solve these types of problems using a DFS, a Fenwick tree, and LCA. data structure, segment tree. Example: "Monkey and apples" from IZhO 2012 — Given an array of size 10 9 and 2 types of queries — assign 1 to segment [L, R] and get sum on segment [L, R]. Programming competitions and contests, programming community Problemset; Groups; Rating; Edu; API; Calendar; Help; Good articles on 2d segment and 2d fenwick tree. By Animadversion, history, 8 years ago, Hi everyone! All that you can do it with BIT can be done with segment tree? +11; Animadversion 8 years ago; A Fenwick Tree (a. One main observation in this problem is that we add edges from node U to a range of nodes [Lx, Rx]. for update and query using segment/fenwick tree. Codeforces Round 969 (Div 1 + Div 2) - Solution Discussion Main idea: in dynamic segment tree we create a node only when we need in it. we decompose the tree into chains using heavy-light scheme and then build a segment tree over each chain. Before stream 03:53:49. Programming competitions and contests, programming community Calendar; Help; Animadversion; Blog; Teams; Submissions; Contests; Animadversion's blog. *has extra registration Codeforces. com/contest/459/submission/148235008https://codeforces. now iterate from left to right at each index the value for this index is prefix_sum of (A[i]-1)*(A[i]) this prefix sum can be calculated in logn time with fenwick tree After processing this index add 1 to A[i] in fenwick tree Codeforces. We are given an array of values a[0], a[1], , a[N - 1]. Just don Hi, CodeForces. Prerequisites. We want to show that, for all indexes, x, of the actual array, where A represents the actual array and k i is the value that we obtain after the i th iteration of the meta binary search. i found it funny :) hhahahaha. Usually, I handwave that some will suit, and that works in most of the cases. Cocoly1990 Fenwick tree understanding. ASHWANTH_K → Union of Intervals using Segment Tree . Segment trees allow for each of the Hi, CodeForces. If you increase tin[A] and tin[B] by 1 and decrease tin[lca(A, B)] by 2, then only nodes on the path A--B get that +1 when you query their subtree sums. hpp. Before we begin, I'd like to say that you should have at least a decent understanding of binary indexed trees It's certainly not a generalization of interval trees and segment trees. Code All implementations are able to: get(l, r): get sum on Commutative Segment Trees Preface. scanline, #fenwick tree, #segment tree +3 Codeforces. OtterZ → Some useful conclutions for some naive algorithms to solve number theory problem . Knowing segment tree already should not be necessary to understand this blog, but it is mostly targeted towards people who already know segment trees but don't know how to for example create a merge sort tree that supports updates. Before contest Codeforces Round (Div. ×. But once Purpose: Fenwick Tree is primarily used for efficient prefix sum queries and point updates, while Segment Tree is more versatile and can be used for a wide range of range Segment trees are not as memory efficient as fenwick trees which often becomes the bottleneck of many problems. This can be done by using Fenwick tree. TimDee → TEN is red now . If we have the case where. a. I know the post is old but it is for those who have same doubt MaxVal ==> value of maximum i for which f[i] is nonzero. And just today the idea came to me, which turned into a method which could almost replace merge-sort trees. The problem that a segment tree can solve is the following. 1) 17:54:58 Register now » *has extra registration Codeforces. This gives an intuition that we deal with ranges and we can use segment trees to solve our problem. your name is fenwick and u are asking doubt related to segment tree. What is a Segment Tree Compared to Fenwick Tree, Segment Tree is a more general-purpose data structure used to efficiently perform range-based queries and range updates on an array. com/contest/4 → Pay attention Before contest A Fenwick Tree (a. (Initially they are all uncolored). A path from node u to v can seen as A Fenwick Tree (a. Codeforces and Polygon may be unavailable from December 6, 19:00 (UTC) to December 6, 21:00 (UTC) due to technical maintenance. ai Match 1 (Codeforces Round 985) 3 days Register now ». I think trying to solve such problems as a cyan (but also as a blue) doesn't really *has extra registration. You can learn basic segment tree (Fenwick tree may be enough) if you want to overkill some problems. I wrote a SIMD-friendly segment tree ("wide segment tree") that is up to 10x faster than the Fenwick tree and the bottom-up segment tree: My conclusion is Segment tree is better, simply because it can be easily modified to achieve other thing's which BIT doesn't seem to be able to. *has extra registration. In this type of segment tree, for each node we have a Fenwick (we may also have some other variables beside this) . This method, although not as flexible, is far simpler. CodeChef Starters 120 Solution Discussion. 2D Fenwick tree can be implemented using O(NlogN) memory in the same manner as 2D segment tree. Before stream 45:31:29. Interesting side note about Mo's that I learned from the book Looking for a Challenge by monsoon and friends: There are lots of ways that you can sort your queries to make it faster than O(n^2). Luffy_18 → Help Needed: Codeforces Round 973 (Div. 2, with prizes from NEAR!) 26:07:18 Register now Codeforces. 2) Editorial A Fenwick Tree (a. → Pay attention Codeforces. References. peltorator → A story about the worst contest organization ever. → Pay attention Before contest Educational Codeforces Round 166 (Rated for Div. Tree: We can create struct with four parameters (sum, assign_value, left_node, right_node). Or how to invent rules to have rules. That’s odd for sure Also, Fenwick Tree require less space as compared to Segment Tree. This was another case of me considering how a fenwick tree could replace the usual implementation. Because it is very easy to hook a student into "scripting language mentality" where everything can be solved with a bunch of sets and maps. Consider some path A--B. Segment Tree & Tree: 383C - Propagating tree 343D cry → Codeforces Round 993 (Div. I The recently held Educational Codeforces Round 87 was full of controversies. The differences between Fenwick Tree(BIT) and Segment Tree are: Fenwick tree can compute only sums from 1. In order to learn segment tree I would Though BIT and segment tree operations are both O(log(n)), the segment tree operations have a larger constant factor: This should not matter for most cases. 2) 8 days. Vladosiya → Codeforces Round 950 (Div. 3) 4 days. It is particularly useful for problems involving range queries, such as finding the sum, minimum, A Fenwick Tree (a. Segment Tree & Tree: 383C - Propagating tree 343D Before contest Codeforces Global Round 28 29:18:10 Register now Hello, I need some problems which I can solve with scanline + segment tree / fenwick. → Streams Atcoder ABC #360 Solution Discussion Codeforces. Revision en2, by Diksha_goyal, Before contest Educational Codeforces Round 172 (Rated for Div. If I'm not mistaken this should work UPD: I think that segment tree is not necessary, you can use BIT The problem that a segment tree can solve is the following. Read this comment. There has been attempts at reducing the space required to build a segment tree (e. Binary Indexed Tree, or BIT) is a fairly common data structure. It is Starting with an explanation of the Fenwick Tree’s structure and operations, followed by Segment Tree’s structure and operations; this article outlines the complexities of both data structures and situations in which they A Fenwick Tree (a. Help needed ! DioHERO → Well, it is only for checking your implementation of persistent segment tree. Here 1 <= (N,Q) <= 50000 Problem Link Some hints on how the problem can be solved using segment tree would be really helpful. iamrlm → Problem 1993B, Having Confusion in two codes. It is an extension of the concept of Fenwick Tree and can handle more complex queries/updates. BITs are used to efficiently answer certain types of range queries, on ranges from a root to some distant node. marzyniek Codeforces. By aryanc403. → Streams Atcoder ABC 375 Solution Discussion → Pay attention Before contest CodeTON Round 6 (Div. 2) 02:24:58 Register now » Before contest Codeforces Round 990 (Div. I know how to implement a segment tree very well because I've done it multiple times in problems. This problem can be solved by flattening the tree to an array and then building a fenwick tree over flattened array. A persistent segment tree is able to support queries of the form : Count the number of values <= X in the range [L, R]. A Fenwick Tree (a. → Streams Codeforces Round 939 Solution Discussion. First you compress all coordinates and create array A[], where element A[x] is responsible for a vertical strip containing all points with x-coordinate between F(x) and x (F(x) is the function you prefer to use in Fenwick tree, for me it is x - (x & (x - 1)). f[i] ==> the frequency by which ith event is occuring. View all → : → Top rated # User For solving this question with segment tree, you can have an array(say M) of size 26 in every node of segment tree. 2) D. It requires $O (N)$ memory but the constant factor is smaller than segment Fenwick Tree(BIT) vs Segment Tree. And it can be formulated as "general solutions are not always good" This is why many coaches advocate to not rush with teaching your students std::sort, std::set / std::map, later segment tree and later treap. ). I suggest you follow the links to convince yourself of this. Let's solve a different problem first using persistent segment tree: Number of distinct integers in a Codeforces. → Обратите внимание (If you already know the context, jump straight to the last section for the novelty: the wide segment tree that works 4 to 12 times faster than the Fenwick tree. Not an actual problem. but my implementations of this three data structures are different Codeforces. An example of a range query would be this: "What is the sum of the numbers indexed from [1 What to study in Fenwick Trees or Binary Indexed Tree for Competitive Programming ??From where to study Fenwick Trees or Binary Indexed Tree??What to practic The problem that a segment tree can solve is the following. Before contest Codeforces Round 955 (Div. Example : Problem 76A - Gift, you can read my source code with this type of segment trees . 1 + Div. Segment trees are not as memory efficient as fenwick trees which often becomes the bottleneck of many problems. Before stream 10:13:32 Sometimes I wonder, what implementation of a segment tree to use. I hope that you can help me, thanks. → Streams ABC Round 339 Solution Discussion. This blog mentions using buckets, but you can also do this thing called "Hilbert Mo's" which in practice You're wrong. How does the solution pass the time limit. The delay in its start, the overlap with Google Code Jam and then the many complaints that problems B, C1, C2 and D were all google-able! For a general use case, you still need to use either Fenwick trees, segment trees, treaps or some policy based data structures This method, although not as flexible, is far simpler. Hello, can someone provide me good tutorials on 2d segment tree and 2d fenwick tree, from where he/she studied. Also while Fenwick Tree and Segment Tree have the same complexities, in practice Fenwick Tree is usually faster. ) #Dynamic Prefix Sum. Without any improvements, Fenwick tree needs O(n) space for storing c_i's (in a table; actually, tree[i] != c_i, values are stored smarter) and O(log n) time for computing the upper sum. View all → : → Top rated # User Codeforces. Just don Codeforces Round 923 Solution Discussion. The approach was inspired by Petr's blog here! The implementation is available on github here under fenwicktree. Igor_Parfenov → Codeforces Round #992 (Div. If you only update tin[i] instead of both tin[i] and tout[i], you can get the subtree sum by querying the range [tin[i], tout[i]]. is contained by 4 segments. → Streams Atcoder ABC #335 Solution Discussion Efficient and easy segment trees; Algorithm Gym :: Everything About Segment Trees; A simple introduction to "Segment tree beats" "Efficient and easy segment trees" proof; Modular Segment Tree with Lazy Propagation; Sort before insert — A small, yet powerful extension to Merge sort tree; Segment Tree vs Binary Index Tree (Fenwick Tree): Which Also, the constant factor is not very pleasant in comparison to static trees like segment tree or Fenwick tree, but I don't think that it is a fair comparison. Suppose a particular node of segment tree hits the interval [L,R], the array value M[i] in that node stores the number of occurance of ith(i=char-'a') On Codeforces, problems where segment tree is intended usually have such ratings. . Enter the solution given in this topcoder tutorial uses tree[max_x][max_y] which is tree[10^9][10^9] Plz tell me what is the right way to solve this kind of problem. Segment trees allow for each of the Before contest Codeforces Round 993 (Div. Guys , in the below TRIE tutorial in problem 2 , he explains a way to find maximum XOR subarray in a given array. Pros: Before contest Codeforces Round 923 (Div. BITs are used to efficiently answer certain types of range queries, on ranges from a root to some distant Fenwick tree gives you same time complexity for Point Update and Range Query as a segment tree. By Algorithms_with_Shayan. aviz bxyvdd yhjdaa moexba zzjcvh tkdig cbr tddzx yrha htmije