
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 the crucian carp matures, it moves exactly four times from one lake to another via some stream (the carp chooses a stream at random), and then remains in the lake where it ends up. Out of every thousand crucian carp, on average 375 remain in lake \( S \), and the rest end up in lake \( B \), with no crucian carp remaining in any other lakes. Determine how many streams are in the Valley of Five Lakes.

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