
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
Place the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 exactly once in the given grid. Adjacent cells horizontally and vertically form two-digit numbers read from left to right or from top to bottom (0 cannot be the leading digit). Determine the maximum number of prime numbers that can be formed by these two-digit numbers.

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