
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 an exchange point, you can only perform the following transactions:

1) exchange 2 gold coins for 3 silver coins and 1 copper coin;
2) exchange 5 silver coins for 3 gold coins and 1 copper coin.

Nikolai initially had only silver coins. After several visits to the exchange point, he had fewer silver coins, no gold coins appeared, but he acquired 50 copper coins. By how much did the number of Nikolai's silver coins decrease? Justify your answer. Note that exchanging money at the bank is not an equivalent operation, meaning that with each exchange, the purchasing power of the coins Nikolai had somewhat decreased.

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