Computer Mathematics Program to Count Binary Strings Without Consecutive 1s with Explanation
Computer Mathematics
Hard
Combinatorics
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1 min read
83 words
This problem helps you practice core Computer Mathematics fundamentals in a practical way. It builds intuition around count, binary, one. Let’s break it down step by step so you can implement it confidently.
Problem Statement
Given n, count length-n binary strings with no '11'.
Input Format
One integer n.
Output Format
One integer count.
Constraints
1
Code Solution
This explanation is written for learning purposes and to help beginners understand the concept clearly.
Let dp0,dp1 counts ending with 0/1. Transition: new0=dp0+dp1, new1=dp0. Answer dp0+dp1.
Common Mistakes
- Misreading input/output format.
- Not handling constraints and edge cases.
- Off-by-one errors in loops.
- Forgetting to reset variables between test cases (if any).
Solution Guide
Problem
Given n, count length-n binary strings with no '11'.
Input / Output
Output
One integer count.
Details
Common Mistakes
- Misreading input/output format.
- Not handling constraints and edge cases.
- Off-by-one errors in loops.
- Forgetting to reset variables between test cases (if any).
Difficulty
Hard
Computer Mathematics
Official Solution
Let dp0,dp1 counts ending with 0/1. Transition: new0=dp0+dp1, new1=dp0. Answer dp0+dp1.
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