
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

Below are five distinct points on the same line. How many rays originate from one of these five points and do not contain point $B$?

![](https://cdn.mathpix.com/cropped/2024_05_01_80f7f1185898b39e7876g-10.jpg?height=57&width=597&top_left_y=1231&top_left_x=632)

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