
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
There are two steel pipes, one is 42 decimeters long and the other is 63 decimeters. Now, they need to be sawed into equally long pieces without any leftovers. What is the maximum length of each piece in decimeters? And how many pieces can be sawed in total?

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