
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
Find the values of \( a \) for which the coordinates \( (x ; y) \) of any point of the square \( 2 \leq x \leq 3, 3 \leq y \leq 4 \) satisfy the inequality \((3 x-2 y-a)\left(3 x-2 y-a^{2}\right) \leq 0\).

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