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Dynamic Programming
Aliens Trick (WQS Binary Search)
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Recursion Fundamentals
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Dynamic Programming Fundamentals
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1D DP
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Multi-Dimensional DP
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Knapsack
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Knapsack Variations
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Prefix Sums
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Longest Increasing Subsequence
0/47
LCS and Edit Distance
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Interval DP
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DP on Trees
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Bitmask DP
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Digit DP
0/42
Game Theory DP
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Probability DP
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D&C and Knuth Optimization
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Convex Hull Trick
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Monotonic Queue Optimization
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Aliens Trick (WQS Binary Search)
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1
Intro
2
The Problem
3
The Insight
4
Quiz: Penalty Intuition
5
From Two Dimensions to One
6
Binary Search on Lambda
7
Binary Search - Walkthrough
8
Why It Works
9
Quiz: Convexity Requirement
10
Tracking the Count
11
Tracking Count - Walkthrough
12
Quiz: Aliens Trick Basics
13
Building a Tall Barn - Problem Statement
14
Tall Barn - Convexity
15
Tall Barn - Penalized DP
16
Tall Barn - Implementation
17
Tall Barn - Walkthrough
18
Codeforces 674C Levels and Regions - Problem Statement
19
Codeforces 674C Levels and Regions - Standard DP
20
Codeforces 674C Levels and Regions - Aliens Trick
21
Codeforces 674C Levels and Regions - CHT Combination
22
Codeforces 674C Levels and Regions - Walkthrough
23
Codeforces 739E Gosha is Hunting - Problem Statement
24
Gosha - Nested Binary Search
25
Gosha - Implementation
26
Gosha - Walkthrough
27
Quiz: Two-Dimensional Aliens
28
Quiz: Nested Binary Search
29
IOI 2016 Aliens - Problem Statement
30
IOI Aliens - Preprocessing
31
IOI Aliens - DP Formulation
32
IOI Aliens - Combined Optimization
33
IOI Aliens - Implementation
34
IOI Aliens - Walkthrough
35
When to Use Aliens Trick
36
Challenge: When Convexity Fails
37
Common Mistakes
38
Implementation Checklist
39
Pattern - Aliens Recognition
40
What's Next
41
Section Recap
Slope Trick
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Broken Profile DP (Plug DP)
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19.1
Intro
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Tasks
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