
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
Liam takes a long drive in his car, which has a speed of $60$ miles per hour, and he drives for a whole number of hours. At the start of Liam's trip, the odometer reads $abc$ miles, where $abc$ is a 3-digit number with $b \geq 1$ and $a+b+c \leq 9$. After finishing his trip, the odometer reads $bca$. What is $a^2+b^2+c^2$?
**A)** 27
**B)** 29
**C)** 31
**D)** 34
**E)** 36

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