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Dragon Slayer
Thanks Lancelot

dragon slayer.
Answer :  11 attacks
Example :
5 Slashers,  5
Dragon Scimitars,  terminating with an Abyssal Whip.

AI says:
 Let me walk through it:
1. Slasher (decapitates 15 heads, 85 left, regrows to 87) 
2. Slasher (decapitates 15 heads, 72 left, regrows to 74)
3. Slasher (decapitates 15 heads, 59 left, regrows to 61)
4. Slasher (decapitates 15 heads, 46 left, regrows to 48)
5. Slasher (decapitates 15 heads, 33 left, regrows to 35)
6. Dragon Scimitar (decapitates 17 heads, 16 left, regrows to 30)
7. Dragon Scimitar (decapitates 17 heads, 13 left, regrows to 27) 
8. Dragon Scimitar (decapitates 17 heads, 10 left, regrows to 24)
9. Dragon Scimitar (decapitates 17 heads, 7 left, regrows to 21)
10. Dragon Scimitar (decapitates 17 heads, 4 left, regrows to 18)
11. Abyssal Whip (decapitates final 20 heads)

Using this sequence of 5 Slashers to reduce the total heads in stages, then 5 Dragon Scimitars, and finishing with the Abyssal Whip, it takes 11 attacks to successfully slay the dragon!

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