
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
In the following questions:

\\(①\\) Find the sum of \\(1+3+3^{2}+…+3^{2016}\\);

\\(②\\) Compare the size of numbers \\(a\\) and \\(b\\);

\\(③\\) For the piecewise function, input the independent variable to output the function value;

\\(④\\) Find the largest natural number whose square value is less than \\(103\\).

The ones that can be designed with loop statements are \_\_\_\_\_\_\_\_.

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