Add comprehensive solutions documentation for first 5 competitive programming problems

[Copilot]

This PR addresses the request to create a text file documenting the first 5 problems from the repository along with their detailed solutions based on the existing code implementations.

What's Added

Created first_5_problems_solutions.txt containing comprehensive documentation for:

1. 1030A | In Search of an Easy Problem - Survey-based difficulty assessment algorithm
2. 110A | Nearly Lucky Number - Lucky digit counting with number theory concepts
3. 112A | Petya and Strings - Case-insensitive lexicographic string comparison
4. 1141A | Game 23 - Mathematical transformation using powers of 2 and 3
5. 1141B | Maximal Continuous Rest - Circular array maximum contiguous subsequence problem

Documentation Structure

For each problem, the file includes:

• Problem Description: Clear explanation of what the problem asks for
• Codeforces Link: Direct link to the original problem statement
• Solution Explanation: Step-by-step breakdown of the algorithmic approach
• Key Logic: Highlighting the core concepts and edge cases
• Complete Code Implementation: The actual working C++ solution with proper formatting

Educational Value

The documentation serves as a comprehensive reference that:

• Explains the reasoning behind each solution approach
• Demonstrates fundamental competitive programming concepts (array processing, string manipulation, number theory, circular arrays)
• Provides complete, working code examples that can be studied and learned from
• Bridges the gap between problem statements and implementation details

This addition makes the repository more educational and accessible for anyone studying competitive programming solutions.

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