
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
Finland is going to change the monetary system again and replace the Euro by the Finnish Mark. 
The Mark is divided into  $100$  pennies. 
There shall be coins of three denominations only, and the number of coins a person has to carry in order to be able
to pay for any purchase less than one mark should be minimal. 
Determine the coin denominations.

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