Not a member of Pastebin yet?
Sign Up,
it unlocks many cool features!
- Lemma 1: When all soldiers meet => P position.
- 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.
- Ultimate proof:
- A position in warlords is a P position iff the corresponding normal nim is a P position.
- Case 1: AFSOC a P position in warlords is a N position in nim.
- Case 2: AFSOC a N position in warlords is a P position in nim.
Add Comment
Please, Sign In to add comment