
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 Sunny Valley, there are 10 villages. Statisticians conducted a study on the population of these villages and found the following:

1. The number of residents in any two villages differs by no more than 100 people.
2. The village of Znoinie has exactly 1000 residents, which is 90 more than the average population of the villages in the valley.

How many residents are in the village of Raduzhny, which is also located in Sunny Valley?

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