Lookup Optimization Resource - aloalgo

Lookup Optimization

The most common use of hash maps is to turn O(n) lookups into O(1). Whenever you find yourself using nested loops to "find" something, consider if a hash map could eliminate the inner loop.

The Pattern

Common Applications

Two Sum Variations

Finding Complements

Index Lookups

Checking Existence in Reference

Precomputation Pattern

Build a lookup table once, then query it many times.

Graph Representation

When to Use This Pattern

  • You have a nested loop where the inner loop searches for something
  • You're doing repeated lookups in a collection
  • You need to find pairs/complements that satisfy a condition
  • You're matching elements between two collections
  • The problem involves "finding if X exists"

Trade-offs

  • Time: O(n²) → O(n)
  • Space: O(1) → O(n)
This is almost always a worthwhile trade-off in interviews, where time complexity is usually more important than space.
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