Moderate DP Question 130 of 224

How do you count ways to decode a digit string mapped to A-Z?

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

PICTURE THIS: HOW TO EXPLAIN IT

IdeaDP
HowWhat happens inside
Why they askShows real use

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.

1

WHY — DP instead of guessing?

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.

2

STEPS — What happens step by step?

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

  1. 1
    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.

  2. 2
    Time is O(n) and

    space is O(1) with two rolling values.

  3. 3
    Leading zeros block a

    single-digit decode

  4. 4
    Give an example

    handle them explicitly.

  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
“Time is O(n) and space is O(1) with two rolling values.”
Break into beats
TimeisOnandspace
Speaking order
2987408337471632900

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.

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