Hensel's lemma the value of "c" mod 27: if "c" ≡ 1 mod 27 then use "a" = 1, if "c" ≡ 10 mod 27 then use "a" = 4 (since 4 is a root of "f"("x") mod 27), and if "c" ≡ 19 mod 27 then use "a" = 7. (It is not true that every "c" ≡ 1 mod 3 is a 3-adic cube, e.g., 4 is not a 3-adic cube since it is not a cube mod 9.) In a similar way, after some preliminary work Hensel's lemma can be used to show that for any "odd" prime number
Cube 2: Sauerbraten episodic gameplay and deathmatches on multiplayer maps with AI bots instead of human opponents. Cube 2: Sauerbraten started as a redesign of the original "Cube" game engine. The "Cube 2: Sauerbraten" engine is written in C++ and OpenGL. "Cube 2: Sauerbraten" shares most of its design goals and philosophy with its predecessor, but using a new 6-directional heightfield (or octree) world model. Its first, developer-only, release was made on February 27, 2004. One of the latest releases, dubbed the "Justice Edition", debuted on July 19, 2010, adding two new player models, thirty new user-created maps, several new game modes, including