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SpeedRacer

Dragon Brain teaser

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The brave knight Sir Poindexter has to slay a dragon. The Dragon has three heads and three tails. To kill the Dragon he must lop off all the heads and all the tails. He has a magic sword which can. in a single blow, lop off:
two tails, or one tail, or two heads, or one head, but never a head and a tail in a single blow.

Problem is: This magic dragon can regenerate immediately as follows:
1) If you lop off one tail, 2 new tails grow.
2) If you lop off two tails, a new head grows
3) If you lop off one head, a new one grows.
4) If you lop off two heads, nothing grows.

So how can Sir Poindexter slay the dragon with the minimum amount of strokes?
Speed Racer
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Don't know if this is quickest, but....

Cut off tail
- 4 tails 3 heads

Cut off 2 tails
- 2 tails 4 heads

Cut off 2 heads
- 2 heads 2 tails

Cut off a tail
- 2 heads 3 tails

Cut off a tail
- 2 heads 4 tails

Cut off 2 tails
- 3 heads 2 tails

Cut off 2 tails
- 4 heads 0 tails

Cut off 2 heads
- 2 heads 0 tails

Cut off 2 heads

done.

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Start with 3h and 3t
First blow:
Lop off 1 tail
3h and 4t

Second Blow:
Lop off 2 tails
4h and 2t

Third Blow:
Lop off 1 tail
4h and 3t

Fourth blow:
Lop off 2 tails
5h and 2t

Fifth Blow:
Lop off 2 tails
6h

Sixth blow:
Lop off 2 heads
4h 0t

Seventh blow:
Lop off 2 heads
2h 0t


Eigth Blow
Lop off 2 heads
0h 0t


Eight?

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www.jumpelvis.com

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1 tail = 4 tails + 3 heads
1 tail = 6 tails + 3 heads
2 tails= 4 tails + 4 heads
2 tails = 2 tails +5 heads
2 tails = 0 tails + 6 heads
2 heads = 4 heads
2 heads = 2 heads
2 heads = DEAD


8 strokes

Or just call in a AC-130 napalm strike and be done with it.

Edited cuz I can't add.

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I think PhillyKev is right.


re bmcd308:

>Third Blow:
>Lop off 1 tail
>4h and 3t

>Fourth blow:
>Lop off 2 tails
>5h and 2t

-> 5h and 1t should be correct

You would have to add one more blow.


re dbattman:

>1 tail = 4 tails + 3 heads
>1 tail = 6 tails + 3 heads

-> 5 tails + 3 heads!

Also one additional blow.

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