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2. Consider the game of Nim on the right. 71111111 a) What is the Grundy number of the initial position 5 11111 b) Make a move to get into a kernel position using third pile. 3 111 c) Make a move to get into a position with Grundy number equal to 1 211 d) Suppose that 1 or 3 or 4 sticks can be removed at a time, determine the Grundy number of the initial condition and then make a move into the kernel