jeopardy intellectual game player answer question earn point Company Q conduct simplify Jeopardy tournament good it company by lucky coincidence old rival final company R1 company R2 the final n question m auction question nm regular question each question price the price ith question ai point during game player choose question at question auction player choose change price number current point strictly large price question the new price question original price great current number point player choose question the correct answer bring player point equal price question the wrong answer question reduce number player point value question pricethe game follow First R2 company select question question choose answer previous question correctly if answer question person choose choose againall R2 employee support team they want calculate maximum possible number point R2 team luck game correctly answer question perhaps go surprised problem entrust solve