
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 Valley of Five Lakes, there are five identical lakes, some of which are connected by streams. Small carp are born only in lake \( S \). As a carp grows, it moves exactly four times from one lake to another along any stream (the carp chooses the stream at random), and then stays in the lake where it ends up. Out of every thousand carp, an average of 375 remain living in lake \( S \), and the rest stay in lake \( B \), with no carp remaining in any other lake. Determine the number of streams in the Valley of Five Lakes.

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