Thanks you so much for taking the time to work with the code that I've written. As someone who is just getting back to the programming world, the C world, these

Thanks you so much for taking the time to work with the code that I've written. As someone who is just getting back to the programming world, the C world, these concepts are brand new. As a master student in physics, I love the fact that the input stream can be seen as a signal to be analysed. It's mind-blowing to see how math can reduce the execution time by 50%. I am going to take my time to fully understand your implementation. Again, thank you so much for your time and the masterclass