
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 down Jane Street, Ralph passed four houses in a row, each painted a different color: the orange house, the red house, the blue house, and the yellow house. Determine the number of orderings of the colored houses such that the blue house is before the yellow house, the blue house is not next to the yellow house, the orange house is before the red house, and each house is painted a different color.

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