
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 book "The Nine Chapters on the Mathematical Art," a problem is recorded: "There are several people buying a pig together. If each person contributes 100 coins, there will be a surplus of 100 coins; if each person contributes 90 coins, it will be just enough. What are the number of people and the price of the pig?" Let x and y represent the number of people and the price of the pig, respectively. Then x = \_\_\_\_\_\_, y = \_\_\_\_\_\_.

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