24. Brother Bear and Little Bear went on an adventure to find treasure and obtained a treasure chest. This treasure chest requires a ten-digit password consisting only of the digits 0 and 1 to open. Brother Bear first entered “1000000000”, and the treasure chest indicated that 1 digit was incorrect; Little Bear then entered “0110000000”, and the treasure chest indicated that 2 digits were incorrect. If the treasure chest no longer gives hints for subsequent password attempts, how many more times do the clever Brother Bear and Little Bear need to try to definitely open the treasure chest?
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