
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
Koschei has three chests.

- On the first chest, it is written: "Here lie gold coins."
- On the second chest, it is written: "Here lie silver coins."
- On the third chest, it is written: "Here lie gold or silver coins."

One of the chests is filled only with gold coins, another is filled only with silver coins, and the remaining one is filled only with copper coins. All the inscriptions turned out to be incorrect. What is in each chest?

Establish the correspondence:

- In the first chest lie
- In the second chest lie
- In the third chest lie

- gold coins.
- silver coins.
- copper coins.

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