
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 only the two operations "+1" (add 1) and "-i" (negative inverse), we can generate various sequences starting from an initial number. For example, starting with the number 3, we can form the sequence

$$
3 \xrightarrow{+1} 4 \xrightarrow{+1} 5 \xrightarrow{-i} -\frac{1}{5} \xrightarrow{+1} \frac{4}{5} \xrightarrow{-i} -\frac{5}{4} \xrightarrow{+1} -\frac{1}{4} \xrightarrow{+1} \frac{3}{4} \xrightarrow{-i} -\frac{4}{3} .
$$

Starting from 0, with which sequence will we obtain 0 again, using only these two operations "+1" and "-i"?

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