optimizing solution for calculating value at given index for a 2d array

There are a few different approaches you can take to optimize the calculation of the value at a given index for a 2D array.

One approach is to use row-major order, which means that the elements of the array are stored in memory in a linear sequence, with the elements of each row being stored consecutively. This can make it faster to access the elements of the array, because you can calculate the memory address of an element at a given index using a simple arithmetic formula.

Another approach is to use cache-friendly data structures and algorithms. This means designing your data structures and algorithms in a way that takes advantage of the way that modern computer processors cache data in memory. For example, you can try to access data in a way that maximizes the likelihood that it will be in the processor’s cache when you need it.

Finally, you can try using a programming language or compiler that is optimized for high performance. Some programming languages, such as C and C++, are designed to be fast and efficient, and they can be used to write code that is optimized for performance. Similarly, some compilers are able to optimize code to make it run faster.

Ultimately, the best approach will depend on the specific needs of your application and the resources available to you. You may want to experiment with different approaches and see which one works best for your situation.