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Alok and Bhanu play the following min-max game. Given the
expression N = X - Y – Z
where X, Y and Z are variables representing single digits
(0 to 9), Alok would like to maximize N while Bhanu would
like to minimize it. Towards this end, Alok chooses a
single digit number and Bhanu substitutes this for a
variable of her choice (X, Y or Z). Alok then chooses the
next value and Bhanu, the variable to substitute the value.
Finally Alok proposes the value for the remaining variable.
Assuming both play to their optimal strategies, the value
of N at the end of the game would be
• 4
• -18
• 9
• 2
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