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If the decision can be deferred to the end, this can be solved by the simple maximum selection algorithm of tracking the running maximum (and who achieved it), and selecting the overall maximum at the end.

The difficulty is that the decision must be made immediately. The optimal stopping rule prescribes always rejecting the first applicants after the interview (where e is the base of the natural logarithm) and then stopping at the first applicant who is better than every applicant interviewed so far (or continuing to the last applicant if this never occurs). One reason why the secretary problem has received so much attention is that the optimal policy for the problem (the stopping rule) is simple and selects the single best candidate about 37% of the time, irrespective of whether there are 100 or 100 million applicants.

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The secretary problem is a famous problem that uses the optimal stopping theory.Meeting others is tough enough normally, but being involved in alternative lifestyles and scenes can be daunting and can add to the challenge of meeting others.Being ‘out’ has become less difficult but the question remains ‘What is the best way to meet available adults in your town with no strings attached’?The problem has been studied extensively in the fields of applied probability, statistics, and decision theory.It is also known as the marriage problem, the sultan's dowry problem, the fussy suitor problem, the googol game, and the best choice problem.