Moderate Graphs Question 119 of 224

How do you count islands in a 2D grid of land and water?

DSA interview set · Speak this in 60–90 seconds · Faridabad & Delhi NCR

PICTURE THIS: FLEX VS GRID

Flex — one line
Grid — rows + cols

Simple meaning

Scan cells

1

WHY — Graphs instead of guessing?

Why interviewers care about Graphs:

This is a process

question about Graphs.

Panels listen for order,

trade-offs, and what you would actually do on a DSA project - not buzzwords.

Stay structured

Name the idea, why it exists, then one short example.

Close cleanly

End with when you use it and one common pitfall.

2

STEPS — What happens step by step?

Before you speak the answer, walk the interviewer through these steps:

  1. 1
    Define it

    Scan cells

  2. 2
    on land, increment the

    count and DFS/BFS to sink or mark the whole connected component.

  3. 3
    Time is O(rows*cols) and

    space is O(rows*cols) in the worst-case recursion or queue.

  4. 4
    Union-Find on land cells

    is the disjoint-set version of the same idea.

  5. 5
    Common mistake

    What juniors usually get wrong.

  6. 6
    Close

    When you pick this over the alternative.

3

EXAMPLE — See it in action

Here's a short line you can speak, broken into clear beats:

Say this line
“Time is O(rows*cols) and space is O(rows*cols) in the worst-case recursion or qu”
Break into beats
TimeisOrowscolsand
Speaking order
2987408337471632900

Note: Adapt this scaffold to your own project — keep it under 60–90 seconds.

Key takeaway

Scan cells on land, increment the count and DFS/BFS to sink or mark the whole connected component.

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