
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
Given a function $f(x)$ defined on the complex number set $C$ that satisfies $f(x)= \begin{cases} 1+x, & x\in R \\ (1-i)x, & x\notin R \end{cases}$, evaluate $f(1+i)$.

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