In a recent exchange, kHarsh3715 and I were discussing the potential topics in Number Theory to learn. kHarsh3715, with conviction, deemed Mobius Inversion, Convolutions, and Diophantine Equations as "very useful topics." He further went on to include Generating Functions, Linear Recurrences, and ventured into the arcane with the Lucas Theorem, Pollard Rho, and Primality Testing.

Baffled by his bold assertions, I simply replied, "Umnik would disagree" (Referring to this blog of course: link). This simple statement sparked a fierce debate, escalating to a wager that put our very financial futures at stake. Only the legendary Um_nik himself could resolve this epic conflict and determine who would emerge victorious.