Moderate DP Question 129 of 224

How do you solve 0/1 knapsack for weight capacity W?

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

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dp[w] is the best value using capacity w

Why interviewers care about DP:

This is a process

question about DP.

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.

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

1
dp[w] is the best
value using capacity w
2
iterate items and walk
weights backward so each item is used at most once.
3
Time is O(n*W) and
space is O(W) for the 1D form.
4
Forward iteration would turn
it into unbounded knapsack, a common bug.
5
Common mistake
What juniors usually get wrong.
6
Close
When you pick this over the alternative.

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

Say this line

“Time is O(n*W) and space is O(W) for the 1D form.”

Break into beats

TimeisOnWand

Speaking order

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

dp[w] is the best value using capacity w iterate items and walk weights backward so each item is used at most once.