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Dynamic Programming

Alex Chen30 min readUpdated 299 real interview reports

Dynamic programming shows up in a Cisco coding loop, and it catches people off guard for a specific reason. The word "Cisco" says networking, networking says graphs and packets and subnets, and somewhere in that chain a candidate quietly decides a networking company will not ask DP and skips it in prep. Then a Premium question lands in the phone screen and the whole plan wobbles. So the first thing to fix is the assumption. DP is a recurring part of this loop, not a rare detour, and two of the most frequently reported problems here are pure DP.

The good news is that Cisco's DP lives in a forgiving band. You are not being handed a gnarly two-dimensional interval puzzle with a clever closed form. You are being handed two Premium questions, a Premium question scan, the longest increasing run, and a game like a Premium question. Every one of them yields to the same short routine, and the bar is a working table you can run, not a flash of insight. Learn to answer three questions for any of them and the cluster stops being scary.

The Cisco angle
The candidates who lose points on DP here are almost always the ones who wrote it off, not the ones who found it hard. It is an easy trap to fall into. You look at the company, you reason about what a networking shop cares about, and DP does not make the shortlist, so it falls out of the rotation. Then a problem that a week of practice would have made routine turns into a cold start in front of an interviewer. Treat a Premium question and a game-DP problem like a Premium question as near-certain rather than optional, and the surprise disappears. Preparing DP is not hedging against a long shot at Cisco. It is covering a part of the loop that reliably appears.

Every DP in this lesson answers three questions, in order. What is the state? Pick the smallest description of a subproblem, usually "the best answer using the first i items" or "ending exactly at index i."

What's inside
  • 5 problems, worked step by step
  • about 30 min

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