Jane Street Interview Question: Whats the earliest date with all different numbers?

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Jane Street

Whats the earliest date with all different numbers?

Anonymous

Oct 23, 2020

I think the question is the earliest FUTURE date. In this case the solution is 17/06/2345

Anonymous

Aug 20, 2020

If numbers need to be expressed in the classic mm/dd/yyyy without yyyy starting with a 0, it is 06/27/1345