Puzzles and logic › Number puzzles › Changing digits and numbers
Product after sum-replacement
High school · ●●●○○ 50 pts
On a board there are 2023 distinct real numbers. Each number is simultaneously replaced by the sum of all the other numbers. After this replacement, the 2023 numbers on the board are the same as at the beginning (as a set of numbers). What value can the product of all the numbers on the board take?