
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 basket is called "*Stuff Basket*" if it includes  $10$  kilograms of rice and  $30$  number of eggs. A market is to distribute  $100$  Stuff Baskets. We know that there is totally  $1000$  kilograms of rice and  $3000$  number of eggs in the baskets, but some of market's baskets include either more or less amount of rice or eggs. In each step, market workers can select two baskets and move an arbitrary amount of rice or eggs between selected baskets. Starting from an arbitrary situation, what's the minimum number of steps that workers provide  $100$  Stuff Baskets?

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