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先看两个题目:(1)求数7~9~9~9的最后两位数字,(2)今天是星期日,求10~(10)~(10)天后是星期几. 这类题目都是求α~m除以p的余数问题:(1)是求原数除以100的余数,(2)是求原数除以7的余数.这类问题是有一般解法的.
Let’s look at two topics: (1) Find the last two digits of 7~9~9~9, (2) Today is Sunday, ask for 10~(10)~(10) days after the day of the week. Is the problem of solving the remainder of α~m divided by p: (1) is the remainder of dividing the original number by 100, (2) is the remainder of dividing the original number by 7. This kind of problem is a general solution.