1 00:00:00,012 --> 00:00:04,496 >> So, over here, I have 1, 2, 3, 4, 5, 6 games. 2 00:00:04,496 --> 00:00:11,762 A Hackenbush, 1 green edge, 3 blue edges, a nim-heap of size 3, a cutcake, 3 00:00:11,762 --> 00:00:18,114 remembering right cuts left to right left cuts up and down. 4 00:00:18,114 --> 00:00:26,494 Another Hackenbush left cuts, blue edges, right cuts, red edges, another Hackenbush, 5 00:00:26,494 --> 00:00:32,185 and another Hackenbush. This one, in some sense, not very 6 00:00:32,185 --> 00:00:40,139 interesting all by itself because right just cuts the edge >> The edge if right 7 00:00:40,139 --> 00:00:46,605 goes first, if left goes first, left has no moves so [unknown] will go back and 8 00:00:46,605 --> 00:00:50,436 look at the various games. [unknown] Cutcake. 9 00:00:50,437 --> 00:00:57,075 [unknown] A size three, here i'm using dice because I didn't bring any quarters 10 00:00:57,075 --> 00:01:02,954 with me this morning. So in all of these games what I want to 11 00:01:02,954 --> 00:01:06,230 look is left, going first. Who wins? 12 00:01:06,230 --> 00:01:10,119 Who wins A plus B, the sum of these two games? 13 00:01:10,119 --> 00:01:15,259 Who wins C plus F, C plus F? E plus F, who wins this game? 14 00:01:15,259 --> 00:01:24,292 And D plus E plus F, who wins that game? This is the quiz for the first time in 15 00:01:24,292 --> 00:01:33,247 Week 2, so this will take a while. And I will see you all next time. 16 00:01:33,247 --> 00:01:34,504 Take care.