Rules of the Year Game
Use the digits in the year 2021 and the operations +, -, x, ÷, sqrt (square root), ^ (raise to a power), ! (factorial), and !! (double factorial) along with grouping symbols, to write expressions for the counting numbers 1 through 100.
The four digits can be used in any order, but we encourage you to challenge yourself to use the digits in the order 2, 0, 2, 1. We also encourage solutions using only the single digit numbers 2, 0, 2, and 1 rather than double digits like 0.2 or 22.