How to improve my logical skills for finding algorithm of a problem?

Improving your logical skills for finding algorithms involves practice, understanding core concepts, and developing problem-solving strategies. Here’s how you can enhance these skills:

1. **Strengthen Your Fundamentals:** Start with a solid understanding of basic data structures (like arrays, linked lists, stacks, queues) and algorithms (like sorting, searching, recursion). Knowing when and how to use these is crucial for problem-solving.

2. **Practice Problem-Solving:** Regularly solve problems on platforms like LeetCode, HackerRank, or Codeforces. Begin with easy problems and gradually progress to more difficult ones. Focus on understanding the problem statement, breaking it down into smaller parts, and systematically finding a solution.

3. **Study Existing Algorithms:** Analyze and understand existing algorithms. Try to comprehend why they work and how they can be optimized. Implement them from scratch to grasp their underlying logic.

4. **Think in Steps:** Break down complex problems into smaller, manageable sub-problems. Solve each sub-problem individually before integrating them into a complete solution.

5. **Pseudo-code and Dry Run:** Before jumping into coding, write pseudo-code to outline your approach. Also, dry-run your solution with sample inputs to check its correctness.

6. **Learn from Mistakes:** Review solutions and learn from mistakes. Understanding where you went wrong in previous attempts is crucial for improvement.

7. **Collaborate and Discuss:** Engage in coding communities, participate in coding contests, and discuss different approaches with peers. Collaboration can offer new perspectives and insights.

Consistent practice and a deep understanding of problem-solving strategies will significantly enhance your ability to find algorithms for complex problems.