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TSA 2010 · Question 43 · Logic

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This is the draw for this year's end of season knockout trophy (and the results so far) competed for by sixteen teams that take part in a quiz league: Although teams are drawn against each other, all participating teams in each round answer the same set of 50 questions, worth 2 points each. In the first round, each 'match' is won straightforwardly by the team with the higher number of points. This team carries half of these points through to the next round; then in subsequent rounds winners carry through half of their 'new' points from the previous round. For example, the Amber Aardvarks carried 39 points through to their quarter-final, then in the quarter-final itself they added 86, and so carried 43 through to their semi-final.

Question diagram

How many more points (at least) must the Indigo Iguanas score than the Orange Ocelots in the final to win the trophy?