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Alok and Bhanu play the following min-max game. Given the
expression
N = 9 + 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
27
0.0
20
18
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Answer Posted / ranjith g
the ans is 20
since banu will try to reduce number (N) so in first turn if
alok say 9,8,7,6 banu will substitute for Z also if alok
says 1,2,3,4 banu will substitute for X or Y ..........
therefore in first turn alok will choose 5 0r 6....
consider alok says 6 then banu will substitute for Z....
then alok knows only positive (X,Y) variable available so he
will say as 9(the max value now)then banu can substitute for
either X or Y.....at last alok will substitute 8(the max
value mow)for Xor Y.....so 9+9+8-6=20;
| Is This Answer Correct ? | 47 Yes | 8 No |
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