
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
You need to divide the number 100 twice so that the larger part of the first division is twice the smaller part of the second division, and the larger part of the second division is three times the smaller part of the first division.

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