A and B play a game.A selects one number from the set {1,2,..,9} at first and supplies it to B.B puts a plus or minus sign before the number(this act is visible to A).The process is repeated twice such that B can place a minus sign before a number only once. and A may select the same number without any restriction twice or thrice.
Then,can we find the three numbers such that the minimum result obtained by placing the minus sign before one of them is greater than any other 3 numbers selected by A?
Thank you.