
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
Danica went on a journey driving for a whole number of hours, averaging 60 miles per hour. The initial odometer reading was a number $abc$, where $abc$ is a 3-digit number with $a \geq{1}$ and $a + b + c \leq{10}$. At the end of her journey, the odometer displayed the number $cab$, where $cab$ is formed by circularly shifting the digits of $abc$ to the right. Express $a^2 + b^2 + c^2$ in terms of the given conditions.

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