
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 the operation ※ as follows: when $a > b$, $a※b = ab^2 - 1$; when $a = b$, $a※b = 2a - 1$; when $a < b$, $a※b = a^2b + 1$. Find the value of $x$ that satisfies $1※x = 2※x$.

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