
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
Judge (correct mark "√", incorrect mark "×")

(1) The synthetic method is the reverse reasoning method of seeking the cause from the result.  

(2) The analytic method is to reason from the conclusion to the known.  

(3) When proving the same problem, the analytic method and the synthetic method generally have exactly opposite thought processes and inverse procedures.

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