
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 set of all strictly decreasing sequences of  $n$  natural numbers having the property that in each sequence no term divides any other term of the sequence. Let  $A = (a_j)$  and  $B = (b_j)$  be any two such sequences. We say that  $A$  precedes  $B$  if for some  $k$ ,  $a_k < b_k$  and  $a_i = b_i$  for  $i < k$ . Find the terms of the first sequence of the set under this ordering.

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