
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
Xiaoqiang's home is 1 kilometer away from his grandmother's house. One day, he took a dog and set off from his home to his grandmother's house. As soon as they started, the dog ran towards the grandmother's house, and upon arriving, it immediately returned. When it met Xiaoqiang on the way back, it ran towards the grandmother's house again. The dog kept running back and forth like this. It is known that Xiaoqiang walks at a speed of 50 meters per minute, and the dog runs at a speed of 200 meters per minute. How many meters did the dog run in total by the time Xiaoqiang reached his grandmother's house?

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