High Sliding Window Question 152 of 224

How do you find the smallest range that includes at least one number from each of k sorted lists?

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

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Simple meaning

Push the current head of each list into a min-heap and track the max among those k heads

1

WHY — Sliding Window instead of guessing?

Why interviewers care about Sliding Window:

This is a process

question about Sliding Window.

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
    Push the current head

    of each list into a min-heap and track the max among those k heads

  2. 2
    pop the min, replace

    it with the next from that list, and update max.

  3. 3
    Heap operations give O(n

    log k) time and O(k) space for n total elements.

  4. 4
    A two-pointer merge on

    flattened pairs also works after tagging list ids.

  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
“Heap operations give O(n log k) time and O(k) space for n total elements.”
Break into beats
HeapoperationsgiveOnlog
Speaking order
2987408337471632900

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

Key takeaway

Push the current head of each list into a min-heap and track the max among those k heads pop the min, replace it with the next from that list, and update max.

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