
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
Define a new operation "☆": For any rational numbers $x$ and $y$, $x$☆$y=a^{2}x+ay+1$ (where $a$ is a constant). For example, $2$☆$3=a^{2}\cdot 2+a\cdot 3+1=2a^{2}+3a+1$. If $1$☆$2=3$, then the value of $3$☆$6$ is ____.

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