
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 that the domain of $f\left(x\right)$ is $R$, $y=f\left(2x-1\right)$ is an odd function, and $y=f\left(x+1\right)$ is an even function. If $f\left(x\right)=e^{x}$ when $x\in \left(-1,1\right)$, then calculate $f\left(194\right)$.

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