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LeetCode Card 325 — 2D Dynamic Programming / Check

DP 2D — BASIC step map

Pattern signal

This pattern usually appears when the prompt involves state depends on two indices, two strings, or grid-like subproblems. Longest Common Subsequence, Edit Distance, unique paths with obstacles, and many grid optimizations fit here.

Worth pausing here during practice.

What Check means here

In BASIC, the Check step is where you dry-run the result on edge cases, confirm complexity, and inspect whether the invariant actually held. For 2D Dynamic Programming, 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 review and stress-test before you hand the answer over. 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

Candidates drown in table details because they never define what each cell actually means. 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 2D Dynamic Programming, what is the simplest way to dry-run the result on edge cases, confirm complexity, and inspect whether the invariant actually held?”

From real interviews
Interviewers have limited time. When a candidate self-checks, it means the interviewer can spend their remaining questions going deeper into interesting territory rather than probing for basic correctness. That changes the tone of the entire interview.

References

S10 S12 S13

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