
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
A company is planning to restructure into a joint-stock company, initially intending for each person to invest an equal amount. However, when the official count was taken, 10 people opted out, resulting in the remaining individuals having to contribute an additional 10,000 yuan each. By the time the actual payment was due, another 15 people decided to withdraw, leading to a further increase of 20,000 yuan per remaining person. How many people were initially prepared to invest? And how much was each person supposed to contribute before the count?

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