
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
If the digits represented by $\triangle$ and $\square$ satisfy the following addition problem in base-7:
$$ \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c}
& & 3 & 2 & 1 & \triangle_7\\
& & & \square & 4 & 0_7\\
&+ & & & \triangle & 5_7\\
\cline{2-6}
& & 4 & 3 & \triangle & 1_7\\
\end{array} $$
what are the values of $\triangle$ and $\square$?

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