2018 AMC 8 第 3 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
3.
学生 Arn、Bob、Cyd、Dan、Eve 和 Fon 按这个顺序围成一圈。他们开始报数：Arn 先报，然后 Bob，以此类推。当一个数含有数字 （例如 ）或者是 的倍数时，报到这个数的人离开圆圈，报数继续。最后留在圆圈里的是谁？
Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a as a digit (such as ) or is a multiple of that person leaves the circle and the counting continues. Who is the last one present in the circle?
小提示：
只模拟会让人离开的那些数
Simulate only the numbers that cause someone to leave.
大提示：
每次有人离开后仍按原来的顺序继续报数，下一个数由圆圈中下一位还在的人报出
Keep the counting order after each person leaves; the next number goes to the next person still in the circle.
视频讲解：
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文字解答：
最先会让人离开的五个数是 。只跟踪这些轮次即可。
Arn 报到 ，Cyd 报到 ，Fon 报到 ，Bob 报到 ，Eve 报到 。
Dan 是唯一留在圆圈里的学生，所以正确答案是 D。
The first five removal numbers are Tracking only those turns gives:
Arn says , Cyd says , Fon says , Bob says , and Eve says .
Dan is the only student remaining, so D is the correct answer.
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