
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
If five submarines sank on the same day at the same location where one submarine had already sunk, how can they lie on the seabed so that each of the six submarines touches all the others? To simplify the problem, we use six matches and arrange them so that each match touches all the others. The matches cannot be bent or broken.

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