
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
A farmer's rectangular field is divided into a $2$ by $2$ grid, resulting in $4$ rectangular sections. The farmer plans to plant four types of crops: corn, wheat, soybeans, and potatoes. The restrictions are that no two sections sharing a border can grow corn and potatoes or wheat and soybeans. Additionally, adjacent sections cannot grow the same type of crop. Determine the number of valid ways the farmer can plant these crops in the field.

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