
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
Find the maximum number of Permutation of set { $1,2,3,...,2014$ } such that for every 2 different number  $a$  and  $b$  in this set  at last in one of the permutation  $b$  comes exactly after  $a$ 

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