
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
Find all four-digit integers $abcd$ (where $a, b, c, d$ are digits and $a \neq 0$) such that $ab, bc,$ and $cd$ are two-digit integers arranged in an increasing geometric sequence. For clarification, $ab$ denotes the two-digit integer formed by digits a and b.
A) 0
B) 1
C) 2
D) 3

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