
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
Three different two-digit numbers $\overline{xx}, \overline{yy}, \overline{zz}$ are added together to get a three-digit number $\overline{xyz}$. Find all possible values of $x, y, z$. The notation $\overline{ab\ldots c}$ represents a number where $a$ is the first digit, $b$ is the second digit, and $c$ is the last digit.

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