
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. Little crucian carp are born only in lake \(S\). As a carp grows, it moves exactly four times from one lake to another using any stream (the carp chooses a stream randomly), and then it stays to live in the lake where it ends up. Out of every thousand carps, an average of 375 stay to live in lake \(S\), and the rest stay to live in lake \(B\). No carps stay in any 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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