1. Find the Grundy number of the initial position and make the first move in a winning strategy for the following Nim games: || I || (b) ||| (c) (d) III 2. Suppose that no more than two sticks can be removed at a time from any pile. Repeat the games in Exercise 1 with this additional condition. 3. Suppose that no more than i sticks can be removed at a time from the ith pile (piles are numbered from top to bottom). Repeat Exercise 1 with this additional condition 416