
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Eighteen students in Mr. Anderson's class have blue eyes. Twenty-five students in the class have a backpack. Mr. Anderson's class has 35 students in total. Additionally, ten students are wearing glasses. What is the least possible number of students who have blue eyes and a backpack, considering at least two students wearing glasses must have blue eyes?

Present the answer in LaTex format: \boxed{Your answer}
user