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A2Z Sheet

393. Disjoint Set

Hard
Step 15: Graphs [Concepts & Problems]›MinimumSpanningTree/Disjoint Set and Problems

Disjoint Set

HardFunction: disjointSet()
ASCI Mission Breakdown • Simple as Hell
"Master Disjoint Set: Take `root` (number[]), execute an optimal minimumspanningtree/disjoint set and problems strategy, and return boolean with clean edge-case handling."
Real-World Metaphor:

Think of Disjoint Set as an everyday real-world challenge: you receive input data, inspect its elements in sequence without making unnecessary duplicate passes, and transform the collection to reach the exact target without wasting computer memory.

Interactive Visual WalkthroughBINARY-TREE
Step 1 / 3
StatusInitialized
ModeScanning
Evaluating

1. Initialize State for Disjoint Set

Load inputs and initialize algorithmic registers.

How to Think About This (Mental Model)

  1. Unpack the problem parameters (`root` (number[])) and clarify what is given vs what must be returned.
  2. Identify the optimal data structure or pattern (e.g. pointers, hash map, or stack) to avoid redundant recalculations.
  3. Walk through state transitions, handle edge cases (empty collections, single items, negative numbers), and return the verified result.

Given the root of a binary tree (represented as level-order array `root`), compute the solution for **Disjoint Set**. Account for null nodes and recursive subproblem properties.

Examples

Example 1
Input: root = [3,9,20,null,null,15,7]
Output: true

Constraints

  • The number of nodes in the tree is in the range [0, 10^4].
  • -1000 <= Node.val <= 1000
Topic Tags:
Graphs [Concepts & Problems]MinimumSpanningTree/Disjoint Set and ProblemsdisjointSet
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