
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
What is the minimum (identical) number of pencils that need to be placed in each of the 6 boxes so that in any 4 boxes there are pencils of any of the 26 pre-specified colors (assuming there are enough pencils available)?

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