I have n number of cakes and i want to go home but on my way home there are seven bridges and on each bridge there is a guard dog .each dog take away half my cakes and give one back to me hence all seven do this .when i get back home i have only 2 cakes remaining find n.
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In starting I had two cakes half to first dog that means 1 and he gives me 1 back hence with each dog this happens .and in end I still have 2 cakes left