
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
Determine the two years of notable French victories that occurred on April 22 between 1700 and 1900, based on the following conditions:
a) Exactly 4382 days passed between the first and second victories.
b) The sum of the digits of the year of the first victory is 23.

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