diff --git a/Ghost.ipynb b/Ghost.ipynb index a302c5e..98115dd 100644 --- a/Ghost.ipynb +++ b/Ghost.ipynb @@ -261,14 +261,14 @@ "# Who Wins?\n", "\n", "Who wins a game if both players play rationally? To answer that, consider the general situation at some point\n", - "suring the game where\n", + "during the game where\n", "a player is presented with a fragment. That player can win if either:\n", "- The fragment is a word (meaning the other player formed the word, and lost).\n", "- The fragment is not a legal fragment (meaning the other player made a mistake, and lost).\n", - "- At least one of the legal plays puts the opponent in a position from which they *cannot* win.\n", + "- At least one of the legal plays in this position puts the opponent in a position from which they *cannot* win.\n", "\n", - "The function `win(vocab, fragment)` implements this idea. It returns a winning fragment if there is one, otherwise `None`. In particular, it returns `fragment` if the current player has already won because `fragment` forms\n", - "a word or illegal fragment, and it returns one of the legal plays if the play leads to a position from\n", + "The function `win(vocab, fragment)` implements this. It returns a winning fragment if there is one, otherwise `False`. In particular, it returns `fragment` if the current player has already won (because `fragment` is\n", + "a word or illegal fragment), and it returns one of the legal plays if the play leads to a position from\n", "which the opponent *cannot* `win`." ] }, @@ -282,7 +282,7 @@ "source": [ "def win(vocab, fragment=''):\n", " \"\"\"Does the current player have a forced win? \n", - " Return fragment if the player has already won, or return a play that forces a win.\"\"\"\n", + " If so, return a play (or the current fragment) that leads to a win.\"\"\"\n", " if fragment in vocab.words or fragment not in vocab.fragments:\n", " return fragment\n", " for play in vocab.legal_plays(fragment):\n",