
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 residential building is scaled down to make a model at a certain ratio. The actual length of the building is 100m, and the planned length of the model is 5dm. The scale used for making the model is ______. According to this scale, if the width of the building is 12m, it should be made ______dm wide; if the model is 1dm high, the actual height of the building is ______m.

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