
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
Given that {$a$ $b$} denotes the average of $a$ and $b$, and [$a$ $b$ $c$ $d$] denotes the average of $a$, $b$, $c$, and $d$, evaluate $[[\{2, 4\} \{1, 3\} \{0, 2\} \{1, 1\}] \{3, 3\} \{2, 2\} \{4, 0\}]$.

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