
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 Three-Body Problem," the operation involves intercepting the "Judgment Day" ship with a "nano-blade" material at the Panama Canal locks. As long as the "Judgment Day" ship passes through the "nano-blade" material completely undetected, the operation is a success. If the entire length of the "Judgment Day" ship is 400 meters, and it takes 50 seconds to pass through a 100-meter long tunnel at a constant speed, how many seconds will it take for the ship to pass through the "nano-blade" material at the same speed?

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