
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
Using the Horner's Rule, calculate the value of the polynomial $7x^3+3x^2-5x+11$ when $x=23$.

1. Step one: $x=23$,
2. Step two: $y=7x^3+3x^2-5x+11$,
3. Step three: output $y$;
4. Step one: $x=23$,
5. Step two: $y=((7x+3)x-5)x+11$,
6. Step three: output $y$;
7. Calculate 6 multiplications, 3 additions;
8. Calculate 3 multiplications, 3 additions.

The correct sequence numbers are.

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