Basic Framework
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LeetCode Card 299 — Union-Find / Implement

Union Find — BASIC step map

Pattern signal

This pattern usually appears when the prompt involves dynamic connectivity, component counting, or equivalence merging. Accounts Merge, Number of Connected Components, and redundant connection problems often benefit from DSU.

Structure your thinking before structuring your code.

What Implement means here

In BASIC, the Implement step is where you write the code in the same order as the chosen skeleton so the logic stays stable. For Union-Find, that matters because the pattern only becomes useful once the candidate is explicit about what is being tracked, reduced, or preserved.

Interview move

A strong move is to transcribe the plan instead of improvising. In this pattern family, say out loud what representation makes the problem easier: the map entry, the pointer invariant, the recursion contract, the queue contents, or the DP state. That keeps the implementation attached to a reason.

Common miss

The miss is using DSU without being clear on what each parent relation represents or when path compression matters. BASIC reduces that risk because the stage sequence forces you to earn the implementation instead of jumping straight into it.

BASIC prompt

“Given that this looks like Union-Find, what is the simplest way to write the code in the same order as the chosen skeleton so the logic stays stable?”

Practical tip
Narrate as you implement. Not every line — but the key decisions. 'I'm initializing the visited set here because...' or 'This handles the empty input case we discussed.' It connects your code back to your reasoning and gives the interviewer anchor points.

References

S10 S12 S13

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