
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 invests 10 million yuan in a high-tech project, which can yield a profit of 25% annually. Due to intense competition among enterprises, it is necessary to withdraw 1 million yuan from the profits at the end of each year for research and development investments to maintain the original profit growth rate. How many years will it take for the project's funds (after deducting the 1 million yuan R&D investment) to reach or exceed a fourfold increase?

(Reference data: $1.25^{7}=4.77$, $1.25^{8}=5.96$, $1.25^{9}=7.45$, $1.25^{10}=9.31$)

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