
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 a peculiar country called "-0 Country", they only have the digits 1 and 0. Therefore, when dealing with larger numbers, they use combinations of 1s and 0s to represent them as sums. For example, the number 12 can be represented as the sum of three numbers: $10 + 1 + 1$, or as the sum of two numbers: $11 + 1$. What is the minimum number of numbers needed to represent 20120204 in "-0 Country"?

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