
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 100 containers of three types with capacities of \(1 \text{ liter}, 10 \text{ liters},\) and \(50 \text{ liters}\). A total of 500 liters of oil is distributed among these containers. How many containers of each type were used, given that the amount of oil in each container matches its capacity?

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