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

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