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How to Optimize from Brute Force to Optimal
Last Updated: March 31, 2026
Ashish Pratap Singh
7 min read
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The BUD Framework
B - Finding the Bottleneck
U - Eliminating Unnecessary Work
D - Removing Duplicated Work
Space-Time Trade-offs
Optimization Pattern 1: Hash Map to Avoid Repeated...
Optimization Pattern 2: Two Pointers to Avoid Nest...
Optimization Pattern 3: Monotonic Stack for Next-G...
Recognizing When a Better Data Structure Helps...
Putting It All Together: A Full Optimization Journ...
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