Game Theory Subtraction Game Help.

3. [22 pts] You are playing the sum of the following three subtraction games games. 0 Cl: a subtraction game with subtraction set 31 = {1, 2, 3}. o 02: a subtraction game with subtraction set 32 = {1, 2, 5} 0 G3: a subtraction game with subtraction set 33 = {1, 3, 6}. (a) Show that the position (10022, 556, 2882) is an N -position. That is, show that the position where game G1 has 10021 chips, game G2 has 556 chips, and game 03 has 2882 chips is an N -position. (b) Find a winning move from (10022,556, 2882}. Justify your