
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 person brought 1000 dollars in one-dollar bills and 10 empty bags to a bank. He asked the clerk to distribute the money into the bags in such a way that, whenever he needs any amount of money, the clerk can give him the required sum using one or more bags, without opening any of them.

How should the money be distributed among the bags? The bank must be able to provide any required amount exactly once, with the maximum being the total deposit of 1000 dollars. In other words, the person should be able to request any whole number amount from 1 to 1000 dollars.

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