
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 a $4\times4$ array, each row and each column forms an arithmetic sequence. The first term of the first row is $3$, and the fourth term is $27$. The first term of the fourth row is $6$, and the fourth term is $66$. What is the value of the center square labeled $Y$ in this $4 \times 4$ array?
A) 30
B) 33
C) 35
D) 37

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