
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
To solve the problem of urban waterlogging during the rainy season, our city has decided to renovate the underground pipe network of some old streets. When renovating a 3600-meter section of the street's underground pipe network, the construction efficiency per day is 20% higher than originally planned. At this rate, the task can be completed 10 days ahead of schedule.<br/>$(1)$ Find the length of pipe network renovated per day during actual construction;<br/>$(2)$ After 20 days of construction, in order to minimize the impact on traffic, the construction unit decides to accelerate the construction progress again to ensure that the total construction period does not exceed 40 days. How many more meters of pipe network should be renovated per day in the future?

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