Let π΄ = (πΌn β (1/n) ππα΅) be a matrix for n β₯ 2, where π = (1,1,1,β¦,1)α΅ ββ¦
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Let π΄ = (πΌn β (1/n) ππα΅) be a matrix for n β₯ 2, where π = (1,1,1,β¦,1)α΅ β βn and πΌn is the identity matrix of order n. The value of maxββS π₯α΅π΄π₯, where S = {π₯ β βn | π₯α΅π₯ = 1}, is __________ . (Answer in integer)
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