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Dragon Hunting (Posted on 2004-12-10) Difficulty: 3 of 5
Prince Valiant went to fight a 3-headed, 3-tailed dragon.

He has a magic sword that can, in one stroke, chop off either one head, two heads, one tail, or two tails.

This dragon is of a type related to the hydra; if one head is chopped off, a new head grows. In place of one tail, two new tails grow; in place of two tails, one new head grows; if two heads are chopped off, nothing grows.

What is the smallest number of strokes required to chop off all the dragon's heads and tails, thus killing it?

See The Solution Submitted by SilverKnight    
Rating: 3.7778 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 30 of 37 |

Seven. Chop off two tails, chop off two heads. Now two heads and one tail remaining. Chop of remaining two heads. Chop off tail. Now two tails remaining. Chop off two tails. Now one head remaining. Chop off head. Two more are added. Chop off both heads.

Edited on January 28, 2005, 8:41 pm
  Posted by Stephen S. on 2005-01-28 20:35:24

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