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Data Structures
Wavelet Trees
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Arrays & Prefix Sums
0/50
Stacks & Monotonic Stacks
0/40
Queues & Deques
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Hash Tables
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Heaps & Priority Queues
0/43
Linked Lists
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Binary Trees
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Binary Search Trees
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Tries
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Union-Find
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Segment Trees
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Fenwick Trees
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Sparse Tables
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Sqrt Decomposition
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Advanced Trees
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Interval Trees
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Wavelet Trees
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1
Intro
2
The Range Counting Problem
3
Binary Representation Insight
4
Wavelet Tree Structure
5
Building the Wavelet Tree
6
Example: Building Step by Step
7
Bitvector Rank Operation
8
Efficient Rank with Prefix Sums
9
Position Mapping
10
Count of Value in Range
11
Range Count by Value Range
12
Problem - Range Frequency Query
13
Range Frequency: Hash Map Approach
14
Range Frequency Solution
15
K-th Smallest in Range
16
K-th Smallest: Why It Works
17
Problem - Kth Smallest in Range
18
Kth Smallest: Merge Sort Tree
19
Wavelet vs Merge Sort Tree
20
Count Less Than in Range
21
Count Greater Than in Range
22
Successor in Range
23
Problem - Count Smaller After Self
24
Count Smaller: Multiple Approaches
25
Count Smaller Solution
26
Space Optimization
27
Coordinate Compression
28
Dynamic Wavelet Trees
29
Wavelet Matrix
30
Wavelet Matrix Operations
31
Application: Mode in Range
32
Application: Range Majority
33
Application: Distinct Count
34
Implementation Tips
35
Common Bugs
36
Quiz: Wavelet Trees
37
Section Recap
Link-Cut Trees
0/39
Persistent Data Structures
0/37
17.1
Intro
2 minutes
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Tasks
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