选择题

2025 AMC 8 Problem 21: Konigsberg Pods

The Konigsberg School has assigned grades 1 through 7 to pods A through G, one grade per pod. Some of the pods are connected by walkways, as shown in the figure below. The school noticed that each pair of connected pods has been assigned grades differing by more than 1 grade level. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is the sum of the grade levels assigned to pods C, E, and F?

2025 年 AMC 8 第21题:柯尼斯堡吊舱

Konigsberg 学校已将 1 至 7 年级分配给 A 至 G 组,每个组一个年级。有些吊舱通过走道连接,如下图所示。学校注意到,每对连接的 Pod 所分配的年级相差超过 1 个年级。 (例如,1 级和 2 级不会位于通过走道直接连接的区域中。)分配给区域 C、E 和 F 的等级总和是多少

A.
12
B.
13
C.
14
D.
15
E.
16