How do you count ways to decode a digit string mapped to A-Z?
PICTURE THIS: HOW TO EXPLAIN IT
Simple meaning
dp[i] adds dp[i-1] if the last digit is 1-9 and dp[i-2] if the last two digits are 10-26.
WHY — DP instead of guessing?
Why interviewers care about DP:
question about DP.
trade-offs, and what you would actually do on a DSA project - not buzzwords.
Name the idea, why it exists, then one short example.
End with when you use it and one common pitfall.
STEPS — What happens step by step?
Before you speak the answer, walk the interviewer through these steps:
- 1dp[i] adds dp[i-1] if
the last digit is 1-9 and dp[i-2] if the last two digits are 10-26.
- 2Time is O(n) and
space is O(1) with two rolling values.
- 3Leading zeros block a
single-digit decode
- 4Give an example
handle them explicitly.
- 5Common mistake
What juniors usually get wrong.
- 6Close
When you pick this over the alternative.
EXAMPLE — See it in action
Here's a short line you can speak, broken into clear beats:
Note: Adapt this scaffold to your own project — keep it under 60–90 seconds.
Key takeaway
dp[i] adds dp[i-1] if the last digit is 1-9 and dp[i-2] if the last two digits are 10-26. Time is O(n) and space is O(1) with two rolling values.