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Hash Set

A collection of unique elements that uses hashing for efficient O(1) checks, insertions, and removals.

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Intuition

Think of it like a club guest list. You only care IF someone is on the list, not where they are sitting or how many times they appear (duplicates are ignored). When a guest arrives, you check the list instantly using their name (Hash) to see if they are already inside.

Concept

A Hash Set is essentially a Hash Map where the Key is the element itself, and the Value is ignored (or a dummy placeholder).

  • Uniqueness: Stores distinct elements only. Adding a duplicate has no effect.
  • Hashing: Uses the same hashing and collision resolution (Chaining/Probing) as Hash Maps to locate elements.

How it Works

Add(Element):

  1. Compute hash h = hash(element) for bucket index.
  2. Search bucket/probe sequence for the element.
  3. If found, do nothing (already exists).
  4. If not found, insert the element.

Contains(Element):

  1. Compute hash and find index.
  2. Search bucket. If found, return true. Else, false.

Step-by-Step Breakdown

Watch the visualization:

  • Add Unique: Element is hashed and placed in an empty spot or chain.
  • Add Duplicate: System checks, finds it exists, and rejects the addition.
  • Remove: Element is found via hash and deleted.

When to Use

Applications:

  • Removing duplicates from a collection (deduplication).
  • Checking presence/membership (e.g., "Is this IP blocked?").
  • Finding intersection/union of datasets.
  • Visited tracking in Graph algorithms (BFS/DFS).

When NOT to Use

  • Key-Value Pairs: Use Hash Map instead.
  • Ordering: If you need elements sorted or in insertion order, use TreeSet or LinkedHashSet.

How to Identify

"Find unique", "Remove duplicates", "Check if visited", "Common elements".

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