
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
Use the Horner's method to calculate the value of the polynomial $f(x)=9x^6+12x^5+7x^4+54x^3+34x^2+9x+1$. The number of multiplication operations required is ______ times, and the number of addition operations required is ______ times.

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