
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
In a classroom, 24 light fixtures were installed, each of which can hold 4 bulbs. After screwing in 4 bulbs into some of the fixtures, it became apparent that the available stock would be insufficient. Subsequently, they screwed bulbs in groups of three, then in pairs, and finally individually into the fixtures. Unfortunately, there were still some fixtures left without any bulbs. How many bulbs were missing if twice as many fixtures received a single bulb as those that received four bulbs, and half as many fixtures received no bulbs at all as those that received three bulbs?

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