
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
Blue and yellow lights are hung on a string 8 inches apart in the order blue, blue, blue, yellow, yellow, and this pattern of 3 blue lights followed by 2 yellow lights continues. Calculate the distance in inches between the 4th blue light and the 18th blue light.

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