
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
To free herself from Ivan the Fisherman's net, the Golden Fish offers him a reward: either 4 pearls and 1 diamond; or 2 emeralds and 2 diamonds; or 2 pearls, 1 emerald, and 1 diamond. After several rescues of the Golden Fish, Ivan the Fisherman received 1000 pearls, 800 emeralds, and some number of diamonds. How many times did the Golden Fish get caught in Ivan the Fisherman's net?

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