
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
Each of the thirty sixth-grade students has one pen, one pencil, and one ruler. After participating in the competition, it was found that 26 students lost their pen, 23 lost their ruler, and 21 lost their pencil. Find the minimum possible number of sixth-graders who lost all three items.

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