THE MYSTIC ELEVEN

Can you find the largest possible number containing any nine of the ten digits (calling nought a digit) that can be divided by `11` without a remainder? Can you also find the smallest possible number produced in the same way that is divisible by `11`? Here is an example, where the digit `5` has been omitted: `896743012`. This number contains nine of the digits and is divisible by `11`, but it is neither the largest nor the smallest number that will work.


主题:
算术 数论 -> 模算术/余数算术 -> 整除规则 -> 被11整除的规则
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