
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
\( f(x) \) is an odd function defined on \( (-\infty, +\infty) \), and satisfies \( f(1+x) + f(1-x) = f(1) \). Moreover, \( f(x) \) is a decreasing function on \( [0, 1] \). Arrange \(-f\left(\frac{10}{3}\right)\), \( f\left(-2 + \frac{\sqrt{2}}{2}\right)\), \( f\left(\frac{9}{2}\right)\) from smallest to largest.

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