Here's how you can steer clear of common mistakes while learning new algorithms.

I can say one thing learn basics and clear the fundamentals and then go to problems that the algorithm can solve and in case of problems try to solve on your own until you get tired may be this limit is different for different person and think like you have to solve this without watching any solution because may be you can find a better approach in this way.

When you're learning something new, understanding the basics is crucial for building a strong foundation. Determine the key principles or concepts of the subject. For example, if you're learning math, start with arithmetic and basic operations. Familiarize yourself with the essential terms and definitions.

For any algorithm, it consists of some key principles that one should have prior knowledge of unless it will be very difficult to understand how the algorithm is working. Visualization of algorithms in a breakdown manner is also important to keep it permanently in your mind or to modify it according to the required scenario in the future. Take Dijkstra’s Algorithm, for instance; it’s like unraveling a puzzle, where understanding graphs, queues, priority queues, and BFS concepts are the pieces that fit perfectly together to reveal the bigger picture.

Before directly jumping into the problem you need to make sure basic concept must be clear regarding the approach whatever you have decided, suppose if you are thinking to implement stack to solve an issue or queue so you need to make sure the concept of stack or queue is crystal clear to you about the time complexity into the consideration and edge case scenario because sometimes ehat happend after implementation of solution sometimes we overlook the corner or edge cases that can lead to a bigger problem.

Make sure you understand what kind of problems an algorithm is trying to solve and how it can solve real life Issues. It's easier to understand how to solve a problem than trying to understand raw math.

It is super important to take a moment to understand an algorithm holistically, with real world applications. For example, while dealing with Tree/Graph algorithms, make sure to understand the intuitive reason to choose BFS vs DFS traversal for the given situation. For instance, to calculate path water flows on a terrain type of situations, DFS would make sense as that is naturally how water flows.

Avoiding rushing, especially when learning something new or working on a task, is essential for thorough understanding and high-quality results. Define what you need to accomplish and break it down into smaller, manageable tasks. Focus on the most important tasks first and tackle them one at a time.

Try to think a way how you would solve a problem before implementing an algorithm, Understanding the problem helps in understanding the solution, and sometimes things just click perfectly.

It is extremely crucial while learning any new algorithm to invest sufficient time to understand what problem the algorithm actually solves. Post understanding the problem statement it is important to break the problem statement into small tasks .More often than not if we encounter a hard algorithm problem ,we need to break that problem down to some known problems we have already solved .These small independent problems becomes a lot easier to solve. Thus it is extremely crucial that we donot rush through the algorithm and break it into small chunks and try to understand/solve those small problems.

Breakdown of algorithms will give multiple small other algorithms which eventually can be modified and used differently in a different problem. This modular approach not only enhances understanding but also fosters versatility in problem-solving.

Establishing effective study patterns can significantly enhance your learning and retention. Break down your long-term goals into short-term, manageable tasks.

Learning to understand how to break down a problem, helps you understand what kind of algorithm you need to apply, is it a sorting problem? a brute force issue? can it be broken down into smaller more understandable bits?

Studying different patterns is probably the most effective way of solving new problems.Instead of focusing just only on the problem statement a particular algorithm solve ,focus more on the generalised version of the problem statement.This way you can effectively utilise a particular algorithm to solve new problems.

Debugging smartly is a crucial skill for any developer. It involves systematically identifying, isolating, and fixing problems in your code.

Try to break down your code into its respective responsibilities, and test them separately and then together. Sometimes, the issue may be caused by a part of your machine not working properly, while at other times, different parts of your machine may not be cooperating appropriately.

Understand that mistakes are a natural part of the learning process. They provide valuable feedback on what doesn't work and guide you towards improvement.

Seeking feedback helps you identify mistakes and oversights, gain fresh perspectives, and enhance learning efficiency. Feedback from peers, mentors, or online communities offers new insights and alternative approaches, broadening your thinking. Constructive criticism focuses on areas needing improvement and reinforces correct techniques. Positive feedback boosts confidence and motivation. Engaging with others makes learning more dynamic and enjoyable, reducing isolation and fostering commitment, ultimately enriching your learning experience.

Implement Practically: Apply algorithms in real-world projects. Practice Regularly: Make algorithm practice a consistent habit. Understand Complexity: Learn to analyze and optimize time and space complexity. Study Multiple Sources: Use varied resources for a well-rounded understanding. Break Down Problems: Simplify complex problems into manageable parts. Use Visualization Tools: Employ visual aids to better understand algorithms. Participate in Coding Competitions: Engage in competitive programming for real-time feedback. Teach Others: Reinforce your knowledge by explaining concepts to others.