
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
Fill the numbers from 1 to 9 in the spaces of the given diagram (with 2 and 3 already filled), so that the number on the left is greater than the number on the right, and the number above is greater than the number below. How many different ways are there to fill the diagram?

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