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Find a winning strategy for the following two player game: a die is For example: The die turns up 4 . Then: thrown (only once)
Find a winning strategy for the following two player game: a die is For example: The die turns up 4 . Then: thrown (only once) at the First player adds 5 to get 9 beginning of the game; then the First player adds 1 to get 16 two players take turns (player 1 Second player adds 6 to get 22 first and then player 2), in adding First player adds 5 to get 27 numbers between 1 and 6 to the First player add 6 to get 35 previous number. These numbers Second player adds 2 to get 37 are decided by the players; they First player add 5 to get 42 are not obtained by throwing the First player adds 6 to get 52 dice. The player who gets 60 as the Second player adds 1 to get 53 sum wins. First player adds 3 to get 56 Second player adds 4 to get 60 and wins. - Show an example that demonstrates your winning strategy. - Explain the connection between finding a winning strategy for this game, and the Decrease and Conquer method. - Indicate whether it is decrease by constant, decrease by a constant factor, or variable-size decrease and justify your answer. - Explain how the outcome will be determined if both players adopt your winning strategy
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