Aline tore a sheet of paper into three pieces. Then, she tore one of these pieces into three pieces again; this gave her a total of five pieces. She then repeated the process, tearing one of the five pieces into three pieces, and so on. Can she, at some point, end up with a total of 2020 pieces? 2023 pieces?
Each operation Aline performs increases the number of parts she has by two. She will therefore reach any odd number of parts, but never any even number. In particular, she will never have 2020 parts, but she will necessarily have 2023 at some point.