
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
There are one hundred twenty $5$-digit numbers using each of the five digits $1$, $4$, $5$, $7$, and $8$ exactly once. Ordered from smallest to largest, identify the number in the $61\text{st}$ position.
A) $51478$
B) $51784$
C) $54718$
D) $57148$
E) $58471$

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