
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
In the hypothetical Coinland, coins have the following thicknesses: penny, 1.60 mm; nickel, 1.90 mm; dime, 1.40 mm; quarter, 1.80 mm. If there are two stacks of coins, each exactly 15.2 mm high, find the composition of each stack, assuming one stack uses only pennies and nickels and the other uses only dimes and quarters.

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