10 zeroes, 9 ones, and 8 twos are written on the board. Given the operations, can you set all numbers to become zero? – math.stackexchange.com

10 zeroes, 9 ones, and 8 twos are written on the board. Given the operations, can you set all numbers to become zero? – math.stackexchange.com

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You are allowed to replace 0 and 1 with two 2s, 0 and 2 with two 1s, or one and two by two zeroes. My thinking was that you had to set all numbers to 1 and 2. However, this isn't possible since there ...

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