
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
Let $c$ and $d$ be real numbers. Consider the following five statements:

$\frac{1}{c} > \frac{1}{d}$
$c^2 < d^2$
$c > d$
$c > 0$
$d > 0$

What is the maximum number of these statements that can be true for any values of $c$ and $d$?

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