-
Thoughts.
- If there is less than A remaining and it is the first move’s turn, the first move wins.
- If there is less than B remaining and it is the late player’s turn, the late player wins.
- Suppose B is less than A (wlog)
- The first player wins if A+1 or less in the second turn.
- In the first move, when A+2, even if 1 is taken, it is still greater than B, so the first move wins.
- If it’s 2A+1 or less, you can take the first move to win.
- If the side with the highest number of moves wins the game…
-
Official Explanation
- Your intuition is right, you just need to show it in a proper and comprehensive case study.
This page is auto-translated from /nishio/arc046_b using DeepL. If you looks something interesting but the auto-translated English is not good enough to understand it, feel free to let me know at @nishio_en. I’m very happy to spread my thought to non-Japanese readers.