"Trodgor" the Burninator
Source:
March 23, 2008
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Problem Statement
Trodgor the dragon is burning down a village consisting of cottages. At time t \equal{} 0 an angry peasant arises from each cottage, and every minutes ( seconds) thereafter another angry peasant spontaneously generates from each non-burned cottage. It takes Trodgor seconds to either burn a peasant or to burn a cottage, but Trodgor cannot begin burning cottages until all the peasants around him have been burned. How many seconds does it take Trodgor to burn down the entire village?