
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
Let the set $\boldsymbol{A}$ consist of all three-, five-, seven-, and nine-digit numbers that use decimal digits $1, 2, \ldots, n$ (not necessarily distinct), and the set $\boldsymbol{B}$ consist of all two-, four-, six-, and eight-digit numbers that use decimal digits $1, 2, \ldots, m$ (not necessarily distinct). For which $m$ will the number of elements in $\boldsymbol{B}$ be at least as many as in $\boldsymbol{A}$, if $n=6$?

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