
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
Consider the infinite sequence $T=\{t_1, t_2, t_3, \ldots\}$ defined by $t_1=9$ and $t_n=9^{t_{n-1}}$ for each integer $n>1$. Find the remainder when $t_{50}$ is divided by $7$.

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