2. The game of Chomp is played on a rectangular block of chocolate divided into mn squares arranged in m rows and n columns. A move consists of removing (eating) any currently present square together all squares currently above, right or above right, of it. Players take alternate turns. The bottom left square of the block is poisoned anod so the player forced to eat it loses. You can try your luck against the computer at https://www.math.ucla.edu/"tom/Games/chomp.html Contrary to what you might think, you can always win!) (a) Complete the table of Grundy numbers for all positions in a 5 2 game. 5 marks! 0 (b) Explain why the block has Grundy number 3 2 marks] (c) You are playing three parallel games of chomp and it is your turn. The positions in the three games are: Game A: Game B Game C What is your best move, and why? 13 marks] 2. The game of Chomp is played on a rectangular block of chocolate divided into mn squares arranged in m rows and n columns. A move consists of removing (eating) any currently present square together all squares currently above, right or above right, of it. Players take alternate turns. The bottom left square of the block is poisoned anod so the player forced to eat it loses. You can try your luck against the computer at https://www.math.ucla.edu/"tom/Games/chomp.html Contrary to what you might think, you can always win!) (a) Complete the table of Grundy numbers for all positions in a 5 2 game. 5 marks! 0 (b) Explain why the block has Grundy number 3 2 marks] (c) You are playing three parallel games of chomp and it is your turn. The positions in the three games are: Game A: Game B Game C What is your best move, and why? 13 marks]