
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
On a clock face, there are twelve numbers: 1, 2, 3, …, 12. By adding a negative sign in front of some numbers, make the algebraic sum of all the numbers on the clock face equal to zero. Determine the minimum number of negative signs needed.

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