
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
Walking along Maple Lane, Shirley passes four houses in a row, each painted green, blue, red, and purple. Given that she passes the green house before the blue house, the green house was not directly next to the red house, and the red house was not directly next to the blue house, determine the number of possible orderings of the colored houses.

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