
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
Four aluminum cans are required to make a new can. How many new cans can eventually be made from 256 aluminum cans? Subsequent recycling of the created cans should be considered for making newer cans. Do not include the original 256 cans in your count.

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