
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
In the expression \(\frac{P \cdot A \cdot 3 + P \cdot E \cdot 3 \cdot A \cdot \breve{И}}{C \cdot P \cdot A \cdot 3 \cdot V}\), replace each of the letters \(P, A, E, \breve{И}, C,\) and \(V\) with different digits (use unique digits for each letter) so that the value of the expression is maximized. Show which digits to assign to each letter, calculate the value of your expression, and explain why it is the largest.

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