
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 $m$ is a given positive integer, and two integers $a$, $b$ have the same remainder when divided by $m$, then $a$ is said to be congruent to $b$ modulo $m$, denoted as $a \equiv b \mod (m)$. For example, $7 \equiv 16 \mod (3)$. If $2^{2014} \equiv r \mod (7)$, then $r$ could be $\boxed{9}$.

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