
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 the following four conditions:<br/>①$b \gt 0 \gt a$;<br/>②$0 \gt a \gt b$;<br/>③$a \gt 0 \gt b$;<br/>④$a \gt b \gt 0$.<br/>The number of the condition that cannot lead to $\frac{1}{a}＜\frac{1}{b}$ being true is______.

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