For many years now Baron Günnstefen has gone to a lake every day to hunt ducks. Every day starting on August 1, 2000, he says to his cook: "Today I shot more ducks than two days ago, but fewer than a week ago." For how many days can the baron say this?

(Assume he is never lying.)

If on July 30 he had shot 7 ducks and on July 31, 1 duck, then on the 1st thru 6th of August he could have shot 8, 2, 9, 4, 10 and 6 ducks respectively, so he could do this for 6 days.

Posted by Charlie on 2003-11-07 10:20:42