
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
The sequence of natural numbers  $1, 5, 6, 25, 26, 30, 31,...$  is made up of powers of  $5$  with natural exponents or sums of powers of  $5$  with different natural exponents, written in ascending order. Determine the term of the string written in position  $167$ .

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