A coffee machine detects the length of the cup placed in its cup holder. For the coffee machine to operate, the distance between the coffee reservoir and the top of the cup must be at least 11.5 cm and at most 12.4 cm, as shown in the figure.
When a cup of length $14.5 \mathrm{~cm}$ is placed in the cup holder of this coffee machine, the machine operates; when a cup of length $15.2 \mathrm{~cm}$ is placed, the machine does not operate.
Accordingly, when cups of the following lengths are placed in the cup holder of this coffee machine:
I. $14.2 \mathrm{~cm}$\\
II. $14.4 \mathrm{~cm}$\\
III. $14.6 \mathrm{~cm}$
For which of these will the machine definitely operate?
A) Only I
B) Only II
C) Only III
D) I and II