
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
If each of the integers $a_1, a_2, a_3, \dots, a_{2008}$ is at least 1 and at most 5, and the sequence contains 103 increasing pairs, at least how many decreasing pairs are there?

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