
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 fish only appear in lake \(S\). As a fish matures, it moves exactly four times from one lake to another through some stream (the fish chooses a stream at random), and then settles in the lake where it ends up. Out of every thousand fish, on average, 375 remain in lake \(S\), and the rest settle in lake \(B\); no fish remain in other lakes. Determine the number of streams in the Valley of Five Lakes.

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