Freaks City

Problem 1: Ring Position Simulation Description: There are $2n$ people standing in two rings of size $n$ each. They are numbered from $1$ to $2n$, where positions $1$ to $n$ form ring 1 and positions $n+1$ to $2n$ form ring 2. Both rings start counting from $1$ simultaneously. Ring 1 starts from person $1$, and ring 2 starts from person $n+1$. ...