
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 a sequence consists of a finite number of consecutive positive integers (the number of terms in the sequence is more than 2) and the sum of all terms is $N$, then this sequence is called an $N$-type standard sequence. For example, the sequence 2, 3, 4, 5, 6 is a 20-type standard sequence. Then, the number of 2668-type standard sequences is $\boxed{6}$.

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