Algorithms are step-by-step instructions used to solve problems. Developing algorithmic thinking helps in breaking down complex problems into smaller problems and then solving the smaller problems and combining them to make solutions for that complex problem.

Developing Algorithmic Thinking via Solving Puzzles:

• Solving puzzles and brain teasers helps enhance logical reasoning and problem-solving skills.
• Analyse patterns used to solve puzzles and identify already defined algorithms like greedy algorithms, dynamic programming, or recursion.
• For example, solving Sudoku puzzles can improve logical reasoning, and identifying the backtracking algorithm used in solving Sudoku can enhance algorithmic thinking.

Developing Algorithmic Thinking via Practicing Steps of Problem-Solving:

• Understand the problem statement, and identify inputs, and desired output.
• Break down the problem into smaller subproblems to handle complexity.
• Determine the logic needed to solve each subproblem efficiently.
• Combine the solutions of subproblems to solve the main problem.
• For instance, in a maze-solving problem, breaking it down into finding a path from start to end in smaller sub-mazes simplifies the overall task.

How to solve a problem using Algorithmic Thinking:

• Identify problem requirements and constraints for a clear understanding.
• Break the problem into smaller, manageable subproblems.
• Design an algorithm to solve each subproblem effectively.
• Combine the solutions of subproblems to solve the main problem efficiently.
• An example could be the problem of finding the shortest path in a graph using Dijkstra’s algorithm for each node to the destination.

Benefits of Algorithmic Thinking:

• Improves problem-solving skills and efficiency, leading to optimized solutions.
• Enhances logical reasoning and critical thinking abilities.
• Enables a systematic and organized approach to tackle complex problems.
• Identifies areas for improvement in existing solutions.
• For illustration, algorithmic thinking can be applied to optimize transportation routes for efficient delivery services.

Thought of Optimization in Algorithmic Thinking:

• Analyse the algorithm’s time and space complexity to understand efficiency.
• Optimize algorithms by reducing time complexity and improving data structures used.
• For example, implementing quicksort algorithm for efficient sorting of large datasets.

Algorithmic Thinking via Understanding Real-life Applications:

• Identify real-life scenarios where algorithms are widely used, such as in shopping websites for sorting prices or recommendation systems.
• Study existing algorithms and their applications in finance, healthcare, data analysis, etc.
• Understand how algorithms solve complex problems and improve efficiency in various real-world scenarios.
• A concrete example is how search engines use algorithms like PageRank to rank web pages based on relevance and popularity.

Conclusion:

Developing algorithmic thinking is an ongoing process that requires continuous practice, problem-solving, and exploration of various algorithms. By applying algorithmic thinking, you can develop effective and efficient solutions to a wide range of problems, enabling you to take complex challenges in a structured and logical manner.