P10575 [Lanqiao Cup 2024 National A] Next Time They Meet

June 1, 2024 is a particularly special day, because the joyful Children's Day happens to fall on a Saturday. This surely brings children even more happiness, allowing them to fully enjoy this pleasant weekend and the strong holiday atmosphere. This naturally leads to a question: in which year will the next June 1 Children's Day coincide with a Saturday again? Please give the answer as a four-digit integer.

This is an output-only fill-in-the-blank problem. You only need to compute the result and submit it. The result of this problem is an integer. When submitting, fill in only this integer; any extra content will not be scored.

This is an output-only fill-in-the-blank problem. You only need to compute the result and submit it. The result of this problem is an integer. When submitting, fill in only this integer; any extra content will not be scored.

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