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😺 Join the Newbie Nexus on Discord: / discord ⭐ Support on Patreon: / newbieindiegamedev 👾 Play some of my games: https://newbie-indie-game-dev.itch.io/ Can Mario reach the flag? What begins as a simple question turns out to be logically equivalent to solving some of the hardest problems in science, engineering, logistics, finance, biology, and more. I explore the surprising connection between Super Mario Bros. and one of the biggest open problems in computer science: P vs NP. I break down how a game from the 80s leads us into the heart of computational complexity, and why answering this question could quite literally change the world. ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 0:00 The Problem 0:59 Complexity Classes 3:06 P vs NP 3:59 Super Mario Bros. is NP-hard 4:49 3SAT 6:16 Proof: Expressions to Levels 8:56 Final Thoughts ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 🎥 Video by: Nati Mendez https://www.behance.net/natimendez [email protected] ▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬ 📚 Related reads: Classic Nintendo Games are (Computationally) Hard - Greg Aloupis et al. https://arxiv.org/pdf/1203.1895 Gaming is a hard job, but someone has to do it! - Giovanni Viglietta https://m.giovanniviglietta.com/paper... A Framework for Proving the Computational Intractability of Motion Planning Problems - Jayson Lynch https://erikdemaine.org/theses/jlynch... Complexity of Games https://www.isnphard.com/ 🎬 Related videos: • P vs. NP and the Computational Complexity Zoo • MIT 6.890 Algorithmic Lower Bounds, Fall 2014 • What Makes Mario NP-Hard? (Polynomial Redu... • ⚡ Minesweeper Is Hard - Keegan R • Understanding the Complexity of Motion Pla... #SuperMarioBros #ComputerScience #VideoGames #PvsNP