Polynomial Warfare: The FFT Uprising

Welcome to the world of Polynomial Warfare, where you must strategize your way through a kingdom ruled by the tyranny of inefficient arithmetic! Players take on the role of 'Poly', a charismatic polynomial knight determined to liberate the realm from the clutches of slow multiplication methods. Use the power of the Fast Fourier Transform (FFT) and clever convolutions to conquer the evil Arithmetic Lords that plague the land. Engage in exhilarating battles where you'll tackle mathematical puzzles, solve polynomial equations, and outsmart your foes with rapid calculations. As you progress, upgrade your polynomial abilities and uncover the secrets to achieving O(n log n) efficiency in a world that still clings to O(n²) methods!