
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
Someone wants to pay an amount of 682 forints using 10, 5, and 1 forint bills. How many of each kind of bill must be used? Additionally, how many of each kind of bill must be used if the number of 10 forint bills is equal to the total number of 5 and 1 forint bills combined?

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