daily pastebin goal
33%
SHARE
TWEET

Untitled

a guest Jun 20th, 2018 63 Never
Not a member of Pastebin yet? Sign Up, it unlocks many cool features!
  1. Lemma 1: When all soldiers meet => P position.
  2.  
  3. Lemma 2: Strategy of a game of modified nim can be obtained from a game of normal nim. One of the generals can ensure a win. This is because the game of warlords can be modelled after a game of nim. Since we know that the game of nim has a terminal position, the game of warlords will also terminate.
  4.  
  5. Ultimate proof:
  6.  
  7. A position in warlords is a P position iff the corresponding normal nim is a P position.
  8. Case 1: AFSOC a P position in warlords is a N position in nim.
  9. Case 2: AFSOC a N position in warlords is a P position in nim.
RAW Paste Data
We use cookies for various purposes including analytics. By continuing to use Pastebin, you agree to our use of cookies as described in the Cookies Policy. OK, I Understand
 
Top