
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
There are 50 slots sequentially arranged on a lottery ticket. Each participant must fill in the numbers 1 to 50 without any repetition, and the order in which they fill in these numbers is up to them. The host also fills in the numbers 1 to 50 on a base ticket. A participant wins if at least one number on their ticket matches the number on the base ticket in the same position. What is the minimum number of tickets a participant should fill out to ensure that at least one of their tickets will have at least one match with the base ticket?

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