
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
In the same Cartesian coordinate system, there are infinite lines given by the equation \( y = kx + b \) (where \( k \) and \( b \) are real numbers and \( k \neq 0 \)), forming a family of lines. To ensure that among any selection of these lines, there are at least two lines passing through the same quadrant, determine the minimum number of lines that must be selected.

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