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Computer Mathematics Program to Count Binary Strings Without Consecutive 1s with Explanation

Computer Mathematics Hard Combinatorics 32 views
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.
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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.

Output Example

Input:
5
Output:
13

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).

Notes & Extra Practice

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