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"18-49", "50+", "50+", "18-49", "50+", "50+", "50+", "50+", "50+", "50+", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "18-49", "50+", "50+", "50+", "50+", "50+", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "50+", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "50+", "50+", "18-49", "50+", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "50+", "18-49", "50+", "50+", "18-49", "18-49", "50+", "50+", "50+", "18-49", "18-49", "18-49", "50+", "18-49", "50+", "50+", "18-49", "50+", "50+", "18-49", "18-49", "50+", "50+", "50+", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "50+", "50+", "50+", "50+", "50+", "18-49", "18-49", "50+", "50+", "18-49", "50+", "18-49", "50+", "50+", "18-49", "18-49", "18-49", "50+", "50+", "18-49", "50+", "50+", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "50+", "18-49", "18-49", "18-49", "18-49", "50+", "50+", "50+", "18-49", "50+", "50+", "50+", "50+", "18-49", "50+", "50+", "50+", "50+", "50+", "50+", "50+", "50+", "50+", "18-49", "18-49", "18-49", "18-49", "50+", "18-49", "18-49", "50+", "50+", "50+", "18-49", "18-49", "18-49", "50+", "50+", "18-49", "18-49"), fact_correct = c(3, 2, 4, 4, 5, 5, 5, 0, 4, 5, 0, 0, 5, 4, 3, 5, 5, 3, 2, 5, 4, 3, 3, 2, 2, 2, 2, 5, 4, 3, 4, 4, 5, 1, 4, 4, 5, 2, 5, 5, 1, 3, 0, 5, 4, 5, 4, 5, 3, 4, 4, 4, 3, 3, 4, 3, 5, 3, 1, 0, 4, 5, 2, 4, 5, 5, 3, 2, 4, 1, 3, 4, 2, 5, 4, 4, 5, 4, 4, 5, 2, 4, 2, 5, 5, 4, 3, 3, 2, 0, 3, 3, 5, 3, 4, 4, 3, 4, 3, 4, 2, 5, 4, 5, 4, 2, 5, 3, 5, 5, 5, 4, 3, 5, 0, 4, 4, 3, 4, 5, 2, 5, 4, 2, 5, 3, 4, 5, 1, 5, 5, 2, 5, 4, 5, 3, 5, 4, 3, 5, 4, 2, 5, 3, 4, 2, 3, 2, 2, 4, 5, 4, 0, 3, 2, 3, 2, 1, 1, 5, 2, 2, 4, 2, 5, 4, 5, 3, 1, 2, 3, 3, 2, 5, 4, 5, 2, 4, 0, 5, 5, 2, 2, 5, 4, 5, 3, 3, 2, 4, 3, 1, 4, 3, 5, 1, 4, 2, 5, 3, 5, 5, 4, 5, 4, 5, 3, 3, 4, 5, 2, 5, 2, 3, 4, 2, 5, 4, 5, 3, 5, 2, 5, 5, 1, 5, 5, 3, 5, 5, 3, 4, 5, 5, 4, 3, 1, 3, 2, 1, 2, 5, 4, 4, 3, 4, 2, 2, 3, 4, 4, 0, 4, 4, 4, 5, 2, 5, 3, 1, 1, 2, 1, 5, 2, 4, 3, 5, 2, 5, 5, 3, 4, 5, 5, 1, 4, 1, 3, 4, 5, 4, 4, 3, 4, 3, 2, 3, 4, 1, 5, 3, 2, 3, 1, 5, 4, 0, 2, 0, 5, 3, 1, 5, 3, 5, 5, 5, 3, 4, 5, 0, 3, 2, 4, 5, 1, 3, 2, 5, 4, 3, 4, 5, 3, 2, 4, 3, 4, 5, 4, 4, 4, 2, 3, 2, 4, 2, 5, 4, 4, 1, 5, 1, 4, 4, 5, 5, 4, 1, 3, 1, 5, 1, 5, 5, 4, 2, 2, 5, 3, 4, 5, 5, 2, 3, 4, 3, 5, 4, 5, 4, 4, 5, 3, 2, 2, 3, 5, 4, 5, 5, 0, 1, 4, 3, 2, 3, 3, 5, 4, 2, 3, 4, 2, 4, 2, 2, 4, 4, 3, 3, 2, 2, 3, 4, 5, 4, 5, 5, 4, 4, 5, 2, 1, 5, 4, 1, 5, 5, 1, 4, 5, 4, 5, 5, 5, 3, 4, 2, 5, 3, 4, 3, 2, 4, 2, 3, 5, 5, 4, 5, 5, 2, 4, 3, 5, 2, 3, 4, 5, 5, 4, 3, 4, 2, 4, 3, 1, 2, 3, 4, 2, 3, 3, 4, 5, 3, 2, 3, 2, 3, 5, 3, 4, 5, 4, 4, 1, 2, 3, 5, 1, 2, 3, 4, 2, 4, 5, 3, 0, 3, 5, 4, 5, 4, 1, 5, 3, 1, 2, 3, 3, 3, 2, 4, 5, 5, 5, 3, 3, 3, 4, 5, 3, 2, 1, 4, 3, 2, 2, 2, 4, 5, 2, 2, 5, 3, 5, 5, 4, 3, 5, 5, 3, 5, 3, 4, 5, 5, 2, 4, 3, 1, 1, 2, 5, 5, 3, 5, 4, 3, 5, 4, 3, 2, 2, 4, 4, 2, 2, 4, 3, 3, 4, 3, 4, 3, 5, 4, 5, 3, 5, 3, 0, 4, 4, 4, 0, 2, 4, 4, 5, 3, 3, 4, 5, 3, 4, 3, 5, 3, 4, 3, 2, 5, 5, 2, 5, 2, 5, 1, 4, 4, 4, 3, 5, 4, 3, 2, 4, 2, 5, 5, 1, 4, 5, 3, 3, 4, 4, 3, 5, 5, 2, 2, 3, 1, 5, 4, 4, 5, 4, 3, 5, 2, 3, 5, 4, 2, 5, 3, 5, 2, 4, 4, 4, 5, 1, 4, 2, 3, 5, 2, 1, 5, 4, 5, 5, 2, 3, 5, 3, 1, 3, 1, 4, 4, 1, 1, 0, 4, 3, 4, 4, 4, 0, 4, 4, 3, 5, 5, 5, 4, 3, 4, 5, 5, 5, 4, 2, 2, 4, 0, 5, 5, 4, 5, 2, 3, 3, 5, 3, 5, 2, 1, 2, 3, 5, 5, 5, 5, 4, 4, 1, 4, 3, 3, 5, 5, 3, 5, 1, 4, 5, 5, 1, 5, 1, 4, 5, 4, 1, 4, 5, 5, 5, 4, 2, 3, 5, 2, 4, 4, 3, 3, 1, 4, 4, 1, 3, 5, 5, 5, 3, 5, 2, 1, 3, 5, 3, 3, 2, 2, 1, 1, 3, 5, 3, 2, 4, 5, 4, 4, 3, 4, 5, 4, 4, 4, 0, 3, 4, 5, 5, 4, 0, 4, 4, 5, 5, 4, 3, 2, 4, 4, 3, 4, 2, 3, 5, 2, 5, 1, 2, 0, 4, 1, 4, 4, 1, 4, 0, 5, 4, 5, 4, 5, 5, 1, 3, 4, 4, 5, 5, 5, 5, 3, 1, 3, 4, 5, 2, 2, 4, 5, 5, 0, 3, 4, 5, 3, 3, 1, 2, 3, 2, 4, 4, 4, 2, 1, 3, 2, 2, 3, 2, 4, 5, 2, 4, 0, 0, 2, 0, 3, 4, 3, 4, 2, 5, 3, 4, 5, 4, 5, 5, 2, 4, 4, 3, 4, 5, 5, 4, 4, 4, 4, 4, 5, 2, 4, 2, 2, 3, 5, 2, 5, 5, 1, 4, 5, 1, 1, 3, 3, 1, 4, 5, 4, 1, 3, 4, 5, 4, 5, 2, 4, 3, 3, 4, 3, 2, 5, 3, 4, 5, 4, 2, 5, 3, 1, 4, 4, 4, 3, 5, 2, 5, 4, 4, 4, 3, 5, 5, 3, 4, 4, 4, 2, 2, 3, 4, 5, 5, 3, 3, 4, 3, 4, 5, 4, 2, 5, 3, 4, 5, 2, 4, 4, 3, 3, 2, 5, 4, 2, 4, 2, 3, 5, 3, 4, 4, 4, 5, 5, 3, 5, 3, 3, 5, 3, 1, 4, 5, 4, 3, 5, 2, 4, 4, 2, 3, 2, 4, 5, 5, 4, 3, 1, 5, 3, 5, 4, 5, 5, 1, 4, 2, 3, 3, 1, 1, 1, 2, 5, 5, 2, 5, 4, 3, 1, 3, 5, 4, 1, 4, 0, 5, 4, 5, 5, 0, 5, 3, 5, 5, 3, 5, 2, 1, 5, 5, 2, 1, 5, 5, 3, 3, 1, 2, 5, 2, 2, 3, 0, 3, 5, 0, 3, 1, 0, 3, 5, 5, 1, 2, 2, 4, 4, 4, 1, 5, 4, 0, 5, 4, 3, 1, 2, 5, 4, 0, 4, 5, 5, 4, 4, 4, 5, 5, 3, 3, 5, 2, 2, 3, 4, 5, 5, 3, 1, 5, 2, 2, 3, 1, 5, 4, 3, 5, 4, 1, 4, 4, 5, 2, 2, 4, 4, 3, 3, 5, 2, 3, 2, 3, 2, 5, 3, 5, 2, 2, 4, 4, 3, 1, 1, 4, 4, 4, 2, 3, 3, 1, 1, 4, 1, 4, 4, 3, 5, 5, 5, 5, 4, 5, 5, 4, 4, 5, 4, 3, 2, 5, 4, 5, 5, 2, 5, 5, 2, 1, 5, 0, 2, 5, 5, 4, 1, 3, 2, 4, 4, 4, 3, 5, 2, 3, 2, 2, 4, 4, 4, 2, 5, 4, 4, 5, 5, 3, 5, 3, 3, 4, 2, 3, 2, 3, 4, 3, 3, 2, 2, 4, 3, 5, 4, 3, 4, 4, 5, 5, 4, 5, 3, 3, 2, 5, 5, 5, 5, 3, 4, 1, 4, 5, 5, 4, 4, 5, 3, 5, 3, 3, 5, 5, 5, 3, 5, 3, 5, 3, 5, 4, 5, 5, 5, 2, 5, 5, 5, 2, 5, 4, 3, 2, 4, 2, 4, 5, 5, 3, 2, 4, 4, 4, 4, 3, 1, 3, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 5, 3, 4, 5, 5, 4, 3, 5, 3, 5, 5, 5, 4, 5, 3, 3, 3, 4, 4, 4, 3, 5, 4, 4, 2, 3, 3, 4, 5, 4, 0, 3, 4, 4, 5, 3, 3, 3, 2, 4, 0, 2, 5, 5, 4, 4, 5, 3, 3, 5, 5, 4, 5, 4, 5, 5, 2, 4, 5, 3, 2, 2, 2, 3, 3, 5, 1, 2, 4, 5, 1, 5, 5, 5, 3, 4, 1, 3, 2, 3, 4, 4, 5, 4, 2, 5, 5, 5, 4, 2, 4, 5, 2, 3, 4, 2, 3, 3, 5, 4, 1, 5, 3, 2, 3, 1, 2, 3, 0, 2, 5, 3, 3, 4, 1, 4, 4, 5, 4, 4, 2, 5, 5, 4, 4, 3, 4, 3, 4, 4, 2, 5, 0, 5, 3, 5, 5, 2, 4, 5, 3, 3, 4, 5, 3, 5, 5, 1, 5, 0, 0, 4, 1, 3, 0, 5, 3, 3, 2, 4, 1, 5, 4, 5, 4, 3, 2, 3, 5, 5, 1, 0, 3, 5, 4, 0, 2, 4, 3, 4, 2, 5, 3, 3, 4, 4, 2, 4, 2, 5, 4, 5, 1, 3, 5, 4, 3, 1, 5, 3, 5, 2, 0, 1, 3, 4, 1, 4, 2, 3, 5, 0, 5, 4, 3, 5, 4, 0, 2, 5, 5, 5, 5, 5, 1, 5, 5, 4, 3, 5, 5, 4, 1, 4, 4, 0, 3, 5, 5, 4, 1, 5, 3, 5, 3, 0, 5, 2, 3, 4, 2, 2, 4, 5, 5, 5, 4, 5, 5, 4, 4, 2, 4, 3, 2, 3, 4, 2, 5, 2, 0, 5, 2, 3, 0, 4, 2, 5, 2, 4, 4, 3, 3, 5, 4, 4, 2, 3, 3, 4, 4, 3, 2, 5, 2, 2, 3, 5, 4, 2, 5, 2, 5, 5, 2, 3, 0, 4, 5, 3, 1, 5, 2, 2, 2, 5, 3, 4, 3, 3, 4, 5, 4, 3, 4, 4, 1, 3, 5, 2, 2, 5, 0, 5, 4, 5, 1, 3, 1, 4, 5, 2, 3, 3, 5, 4, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 4, 0, 3, 5, 2, 4, 4, 2, 2, 4, 4, 3, 4, 5, 4, 5, 3, 3, 2, 5, 4, 4, 3, 2, 4, 2, 1, 5, 0, 5, 3, 4, 2, 4, 3, 2, 1, 2, 5, 3, 3, 5, 4, 5, 2, 4, 4, 5, 4, 3, 2, 5, 2, 2, 1, 5, 4, 2, 4, 2, 4, 3, 3, 5, 4, 1, 1, 5, 4, 0, 2, 5, 4, 5, 4, 5, 5, 3, 5, 2, 2, 4, 4, 2, 4, 4, 3, 5, 5, 4, 5, 5, 5, 4, 2, 5, 1, 4, 0, 4, 4, 4, 5, 3, 1, 4, 5, 5, 0, 2, 1, 5, 5, 3, 3, 4, 4, 2, 4, 3, 3, 3, 2, 2, 3, 5, 1, 3, 2, 5, 3, 3, 5, 2, 4, 4, 5, 5, 0, 2, 3, 5, 5, 3, 4, 3, 1, 5, 3, 1, 5, 0, 3, 1, 4, 4, 3, 3, 3, 5, 0, 3, 4, 1, 2, 5, 4, 3, 4, 5, 5, 5, 4, 4, 4, 5, 4, 2, 3, 1, 1, 4, 4, 3, 4, 4, 5, 1, 4, 5, 2, 5, 5, 2, 2, 3, 4, 3, 3, 1, 5, 4, 3, 4, 4, 5, 5, 4, 5, 4, 5, 4, 0, 3, 0, 5, 0, 5, 3, 3, 5, 3, 5, 2, 2, 5, 3, 2, 5, 5, 4, 5, 4, 1, 3, 3, 1, 2, 4, 5, 5, 5, 5, 2, 5, 3, 2, 5, 5, 0, 3, 2, 2, 2, 1, 3, 2, 2, 3, 5, 5, 3, 3, 3, 4, 2, 5, 5, 5, 3, 4, 3, 4, 5, 2, 5, 2, 3, 5, 5, 4, 0, 3, 1, 4, 1, 3, 3, 4, 4, 2, 3, 2, 3, 5, 2, 5, 3, 4, 1, 5, 3, 1, 5, 4, 4, 4, 4, 5, 3, 1, 2, 4, 1, 2, 4, 3, 3, 0, 5, 4, 4, 4, 4, 5, 2, 4, 3, 4, 2, 4, 3, 5, 3, 4, 2, 0, 4, 4, 5, 4, 4, 1, 5, 3, 4, 4, 2, 4, 2, 5, 3, 5, 4, 5, 3, 4, 3, 3, 3, 4, 3, 2, 5, 3, 3, 3, 3, 4, 4, 5, 4, 4, 3, 0, 3, 1, 4, 5, 2, 1, 5, 4, 3, 2, 5, 3, 4, 3, 2, 5, 4, 1, 5, 1, 5, 5, 4, 4, 5, 2, 3, 4, 5, 2, 3, 5, 5, 0, 2, 1, 3, 3, 4, 3, 1, 3, 5, 3, 2, 3, 5, 3, 2, 5, 4, 3, 3, 2, 1, 2, 4, 0, 4, 2, 5, 4, 2, 4, 5, 4, 5, 2, 5, 1, 2, 3, 3, 1, 4, 3, 4, 3, 1, 5, 2, 0, 4, 2, 5, 0, 2, 4, 3, 4, 5, 1, 4, 3, 4, 1, 2, 4, 4, 5, 5, 4, 4, 5, 4, 0, 2, 5, 4, 4, 5, 3, 3, 3, 4, 4, 5, 4, 4, 5, 4, 4, 1, 5, 5, 3, 3, 5, 3, 5, 4, 1, 5, 4, 4, 3, 2, 2, 3, 4, 4, 5, 5, 4, 4, 2, 4, 5, 5, 2, 2, 3, 5, 3, 3, 5, 5, 2, 4, 4, 2, 4, 0, 0, 4, 4, 4, 5, 3, 4, 2, 4, 4, 1, 4, 4, 4, 5, 3, 3, 5, 4, 5, 4, 5, 4, 4, 3, 3, 4, 1, 4, 4, 2, 5, 5, 4, 3, 2, 5, 4, 3, 3, 5, 3, 3, 3, 5, 3, 1, 1, 4, 2, 0, 4, 5, 3, 5, 1, 3, 2, 4, 3, 3, 3, 2, 2, 5, 5, 3, 3, 3, 4, 4, 4, 0, 3, 1, 5, 3, 2, 5, 4, 3, 4, 3, 3, 3, 0, 3, 0, 4, 0, 5, 3, 5, 3, 3, 3, 5, 5, 2, 5, 5, 4, 4, 3, 3, 4, 3, 2, 3, 4, 5, 4, 4, 2, 5, 3, 2, 3, 2, 3, 4, 3, 3, 4, 4, 5, 5, 5, 2, 5, 3, 0, 4, 4, 5, 5, 3, 2, 0, 0, 5, 5, 2, 1, 2, 5, 2, 3, 5, 1, 3, 3, 3, 1, 2, 5, 2, 2, 2, 2, 3, 3, 3, 5, 5, 2, 5, 4, 2, 3, 4, 4, 3, 4, 4, 5, 3, 4, 5, 5, 2, 2, 5, 4, 4, 5, 4, 4, 1, 3, 2, 3, 5, 2, 5, 3, 1, 2, 1, 3, 5, 3, 2, 4, 2, 4, 5, 2, 3, 4, 1, 5, 5, 4, 3, 3, 4, 2, 4, 5, 1, 3, 4, 4, 2, 3, 5, 4, 5, 3, 2, 4, 3, 3, 0, 1, 1, 3, 3, 5, 4, 2, 5, 3, 3, 5, 5, 3, 5, 3, 2, 2, 1, 4, 4, 3, 5, 3, 5, 5, 5, 4, 1, 5, 3, 4, 2, 4, 2, 3, 5, 4, 3, 3, 4, 3, 5, 4, 3, 5, 1, 4, 2, 1, 4, 2, 5, 4, 5, 4, 5, 3, 0, 2, 3, 2, 2, 3, 3, 4, 5, 2, 3, 1, 4, 4, 3, 3, 4, 5, 4, 4, 0, 4, 2, 5, 5, 2, 3, 2, 3, 3, 2, 5, 4, 5, 3, 5, 4, 5, 1, 2, 2, 2, 5, 3, 3, 3, 4, 3, 0, 5, 5, 5, 4, 3, 4, 4, 5, 4, 2, 4, 1, 1, 5, 4, 2, 5, 3, 4, 5, 4, 4, 4, 3, 5, 3, 4, 3, 5, 5, 4, 4, 3, 5, 4, 4, 4, 4, 5, 1, 4, 1, 4, 2, 2, 4, 4, 4, 5, 4, 2, 4, 4, 4, 2, 5, 4, 4, 3, 5, 3, 3, 5, 2, 5, 4, 4, 5, 2, 5, 2, 4, 3, 4, 4, 5, 4, 5, 3, 3, 3, 3, 4, 4, 5, 5, 5, 1, 5, 4, 3, 0, 4, 4, 3, 3, 3, 1, 5, 4, 2, 2, 4, 2, 5, 3, 5, 4, 3, 4, 2, 3, 5, 5, 3, 4, 4, 5, 2, 2, 5, 4, 4, 2, 5, 3, 2, 5, 3, 3, 3, 0, 4, 3, 2, 5, 3, 3, 2, 2, 5, 1, 5, 3, 5, 5, 4, 4, 5, 5, 5, 5, 5, 3, 5, 1, 2, 2, 1, 2, 4, 3, 3, 1, 3, 5, 1, 4, 5, 4, 3, 4, 3, 4, 3, 4, 5, 4, 3, 5, 2, 2, 3, 5, 3, 4, 5, 3, 2, 5, 5, 5, 2, 4, 2, 4, 3, 4, 2, 5, 2, 1, 3, 5, 5, 4, 4, 3, 4, 2, 3, 4, 5, 3, 5, 2, 5, 2, 2, 5, 3, 1, 4, 2, 4, 1, 5, 3, 4, 4, 4, 2, 5, 5, 4, 5, 5, 4, 4, 5, 5, 0, 5, 3, 0, 5, 3, 2, 3, 3, 1, 4, 5, 2, 4, 1, 4, 3, 5, 3, 4, 4, 4, 5, 3, 2, 3, 0, 5, 5, 4, 2, 5, 4, 3, 1, 5, 5, 2, 1, 3, 3, 3, 3, 5, 2, 5, 4, 5, 5, 0, 1, 3, 3, 5, 3, 3, 4, 4, 2, 4, 4, 5, 2, 3, 3, 5, 4, 2, 4, 2, 4, 4, 1, 1, 3, 5, 5, 4, 5, 0, 5, 3, 3, 2, 2, 5, 5, 2, 2, 4, 4, 5, 3, 1, 3, 4, 3, 4, 3, 5, 2, 0, 2, 5, 5, 2, 5, 1, 5, 5, 2, 5, 3, 3, 2, 3, 5, 3, 0, 4, 0, 3, 3, 2, 2, 4, 1, 5, 5, 1, 5, 3, 3, 5, 3, 5, 4, 3, 2, 4, 2, 4, 4, 2, 4, 5, 4, 1, 0, 2, 4, 4, 5, 5, 4, 3, 1, 0, 4, 3, 5, 5, 4, 5, 2, 5, 3, 2, 4, 5, 3, 2, 4, 5, 2, 4, 3, 2, 5, 3, 1, 3, 5, 3, 3, 1, 2, 2, 3, 5, 4, 5, 4, 3, 3, 2, 3, 1, 4, 2, 2, 3, 4, 3, 2, 3, 3, 4, 3, 3, 5, 3, 2, 1, 3, 5, 5, 4, 3, 0, 4, 2, 0, 3, 4, 4, 3, 2, 3, 3, 3, 4, 3, 5, 2, 0, 3, 3, 1, 2, 2, 2, 1, 2, 5, 3, 5, 5, 4, 2, 5, 4, 5, 2, 4, 4, 2, 5, 5, 3, 2, 5, 5, 4, 2, 5, 3, 1, 3, 5, 3, 2, 4, 3, 4, 2, 5, 5, 2, 2, 4, 5, 4, 3, 4, 3, 1, 5, 5, 5, 1, 5, 2, 5, 4, 0, 5, 0, 5, 1, 2, 0, 4, 1, 2, 3, 1, 3, 5, 2, 5, 4, 5, 5, 3, 4, 4, 4, 4, 4, 5, 3, 5, 4, 3, 3, 4, 4, 3, 2, 1, 5, 4, 4, 4, 5, 4, 4, 5, 3, 5, 5, 3, 5, 1, 0, 4, 4, 3, 3, 5, 4, 5, 4, 5, 3, 4, 3, 3, 4, 2, 5, 4, 4, 4, 1, 4, 4, 3, 5, 4, 5, 2, 5, 3, 5, 2, 3, 3, 4, 3, 2, 5, 4, 0, 2, 2, 3, 4, 1, 5, 3, 5, 3, 4, 3, 3, 2, 1, 5, 5, 3, 2, 5, 4, 5, 4, 5, 4, 5, 4, 5, 3, 5, 4, 1, 4, 4, 2, 3, 4, 3, 3, 3, 4, 4, 5, 2, 4, 5, 1, 2, 4, 3, 3, 2, 4, 2, 3, 5, 2, 4, 4, 5, 3, 4, 2, 4, 5, 4, 4, 3, 4, 4, 5, 4, 1, 4, 5, 4, 3, 2, 2, 3, 2, 5, 2, 4, 3, 3, 0, 5, 2, 0, 4, 1, 3, 2, 4, 4, 3, 5, 2, 5, 5, 1, 4, 5, 5, 4, 2, 3, 4, 2, 3, 1, 5, 3, 2, 5, 4, 3, 4, 1, 2, 4, 5, 5, 0, 3, 5, 5, 4, 5, 5, 2, 2, 4, 5, 2, 4, 4, 5, 4, 1, 3, 3, 2, 2, 4, 4, 4, 0, 3, 4, 3, 2, 4, 5, 4, 4, 5, 0, 5, 1, 4, 2, 3, 5, 5, 5, 3, 5, 5, 1, 5, 5, 3, 0, 5, 5, 5, 5, 2, 1, 5, 1, 5, 3, 4, 4, 3, 3, 3, 4, 5, 2, 4, 4, 5, 3, 5, 1, 4, 3, 4, 5, 3, 5, 3, 5, 4, 4, 3, 3, 5, 5, 5, 2, 5, 3, 4, 4, 5, 1, 5, 4, 1, 3, 5, 2, 1, 3, 5, 3, 1, 4, 4, 5, 4, 4, 5, 4, 4, 3, 2, 2, 3, 5, 5, 2, 5, 3, 5, 4, 3, 1, 5, 4, 5, 3, 5, 2, 3, 4, 2, 4, 0, 1, 3, 5, 5, 3, 5, 5, 5, 5, 3, 4, 5, 1, 3, 4, 5, 5, 1, 3, 5, 3, 2, 2, 3, 5, 3, 5, 3, 2, 3, 5, 2, 2, 4, 1, 2, 4, 1, 2, 4, 2, 5, 5, 5, 2, 5, 4, 5, 3, 4, 4, 5, 3, 5, 5, 4, 3, 3, 4, 4, 5, 4, 5, 3, 4, 2, 4, 5, 3, 3, 4, 3, 5, 2, 2, 4, 3, 2, 4, 3, 2, 5, 4, 1, 2, 4, 5, 3, 1, 4, 5, 3, 4, 4, 5, 1, 2, 1, 2, 5, 5, 2, 2, 5, 2, 5, 5, 5, 5, 2, 1, 4, 1, 4, 3, 3, 4, 5, 0, 2, 4, 4, 5, 1, 3, 5, 3, 5, 1, 3, 5, 2, 4, 4, 0, 5, 3, 3, 5, 3, 5, 4, 3, 3, 1, 2, 4, 4, 4, 5, 5, 4, 5, 5, 2, 4, 4, 5, 4, 0, 5, 5, 4, 5, 3, 5, 5, 5, 3, 2, 2, 0, 3, 5, 3, 4, 5, 1, 1, 3, 5, 3, 5, 3, 4, 5, 3, 5, 2, 4, 1, 3, 2, 3, 4, 4, 4, 5, 2, 5, 2, 3, 3, 3, 2, 2, 3, 5, 4, 3, 3, 4, 2, 5, 5, 5, 4, 0, 1, 3, 2, 3, 1, 4, 5, 3, 2, 3, 1, 4, 4, 5, 4, 1, 4, 5, 5, 2, 5, 2, 4, 4, 4, 2, 0, 3, 5, 4, 2, 2, 3, 4, 4, 1, 3, 3, 5, 5, 4, 5, 0, 5, 3, 4, 4, 5, 0, 5, 3, 4, 5, 5, 2, 5, 5, 5, 1, 4, 5, 5, 0, 4, 5, 4, 2, 5, 2, 5, 5, 2, 5, 4, 3, 5, 5, 0, 4, 0, 3, 4, 1, 5, 5, 1, 2, 1, 3, 0, 5, 4, 4, 1, 5, 3, 3, 2, 4, 4, 2, 4, 3, 5, 2, 3, 1, 4, 4, 2, 5, 2, 5, 4, 4, 5, 1, 0, 3, 4, 2, 5, 0, 4, 3, 3, 5, 4, 2, 2, 4, 5, 3, 0, 5, 2, 0, 5, 1, 4, 4, 5, 3, 2, 4, 2, 5, 4, 3, 3, 4, 2, 1, 2, 3, 4, 5, 0, 3, 1, 2, 5, 4, 4, 5, 4, 5, 5, 4, 2, 3, 4, 3, 5, 5, 4, 3, 1, 3, 3, 2, 5, 5, 3, 5, 2, 4, 3, 3, 1, 2, 2, 2, 3, 4, 5, 4, 2, 5, 3, 0, 4, 3, 3, 5, 0, 5, 4, 1, 2, 4, 3, 5, 3, 2, 2, 2, 4, 2, 2, 4, 5, 5, 4, 3, 4, 3, 3, 2, 3, 4, 5, 3, 5, 3, 3, 5, 5, 4, 3, 1, 4, 2, 1, 5, 5, 1, 5, 3, 5, 3, 2, 0, 5, 4, 2, 5, 3, 2, 2, 5, 4, 3, 5, 4, 2, 5, 2, 3, 5, 2, 3, 5, 3, 5, 4, 2, 3, 4, 4, 4, 4, 5, 2, 4, 4, 5, 2, 3, 5, 2, 5, 4, 4, 1, 3, 5, 5, 4, 3, 1, 2, 3, 3, 3, 5, 4, 2, 2, 2, 4, 4, 5, 4, 2, 4, 5, 4, 5, 2, 2, 5, 5, 2, 5, 0, 3, 4, 3, 0, 5, 3, 1, 3, 3, 5, 4, 3, 4, 3, 4, 0, 5, 5, 4, 2, 4, 2, 3, 5, 3, 3, 3, 4, 4, 4, 3, 4, 2, 4, 5, 3, 5, 5, 4, 3, 4, 2, 5, 4, 1, 1, 2, 5, 0, 2, 4, 3, 3, 2, 5, 5, 2, 3, 2, 1, 3, 2, 0, 2, 5, 3, 5, 3, 5, 5, 5, 3, 3, 3, 4, 1, 4, 5, 4, 3, 5, 4, 4, 5, 2, 2, 5, 3, 1, 3, 4, 1, 5, 5, 5, 3, 1, 2, 5, 5, 4, 3, 2, 3, 5, 1, 2, 5, 4, 4, 2, 2, 2, 5, 1, 0, 1, 2, 4, 5, 3, 2, 5, 3, 5, 1, 3, 3, 2, 4, 3, 2, 5, 3, 3, 4, 4, 2, 5, 0, 5, 3, 3, 1, 5, 2, 4, 3, 1, 0, 2, 2, 2, 4, 4, 3, 4, 3, 4, 3, 1, 4, 4, 2, 4, 2, 3, 1, 4, 3, 3, 3, 5, 2, 3, 2, 0, 1, 5, 3, 4, 4, 3, 5, 2, 2, 1, 5, 4, 5, 2, 5, 4, 5, 2, 2, 2, 3, 1, 3, 4, 3, 5, 2, 5, 3, 2, 2, 3, 5, 5, 4, 4, 5, 3, 3, 2, 4, 5, 4, 1, 1, 4, 4, 5, 4, 5, 2, 0, 3, 5, 3, 5, 3, 5, 4, 2, 3, 4, 5, 2, 3, 2, 1, 3, 5, 1, 2, 1, 5, 1, 5, 4, 4, 3, 4, 5, 4, 5, 4, 4, 3, 2, 4, 3, 1, 4, 4, 5, 4, 3, 3, 4, 0, 2, 2, 5, 4, 5, 4, 5, 1, 5, 5, 3, 4, 2, 2, 3, 5, 3, 5, 5, 2, 5, 1, 4, 5, 5, 2, 1, 5, 5, 5, 4, 5, 5, 4, 3, 1, 0, 1, 1, 5, 4, 2, 3, 5, 2, 5, 3, 2, 4, 5, 2, 4, 5, 3, 0, 3, 5, 4, 5, 5, 2, 5, 5, 3, 2, 4, 4, 0, 5, 5, 5, 2, 1, 3, 3, 5, 5, 2, 4, 4, 0, 2, 4, 3, 3, 4, 3, 4, 5, 1, 4, 3, 4, 4, 1, 1, 5, 3, 3, 3, 0, 5, 4, 2, 3, 3, 1, 5, 5, 2, 4, 3, 1, 2, 3, 5, 1, 3, 1, 5, 3, 2, 4, 2, 5, 0, 4, 5, 4, 5, 4, 2, 4, 5, 1, 1, 5, 1, 5, 5, 5, 4, 2, 4, 1, 5, 4, 3, 5, 5, 3, 5, 3, 2, 1, 3, 5, 5, 1, 2, 3, 0, 4, 5, 3, 5, 2, 4, 3, 3, 0, 4, 3, 3, 5, 4, 5, 3, 3, 5, 2, 3, 2, 2, 5, 5, 4, 5, 4, 4, 5, 5, 0, 2, 3, 1, 3, 4, 3, 1, 4, 2, 2, 1, 3, 3, 2, 5, 5, 0, 4, 2, 5, 1, 0, 2, 3, 4, 4, 2, 4, 3, 3, 1, 4, 4, 0, 5, 2, 5, 2, 4, 5, 2, 3, 2, 2, 4, 3, 1, 3, 1, 2, 5, 2, 4, 2, 4, 5, 5, 3, 5, 5, 3, 4, 5, 4, 5, 5, 5, 5, 2, 3, 2, 3, 5, 4, 3, 3, 4, 1, 3, 2, 1, 2, 3, 3, 4, 1, 2, 2, 5, 2, 2, 3, 3, 3, 4, 1, 3, 2, 5, 5, 5, 5, 5, 5, 3, 4, 5, 3, 2, 5, 5, 0, 3, 0, 1, 5, 5, 3, 1, 1, 4, 4, 3, 3, 5, 3, 4, 4, 4, 5, 4, 3, 5, 1, 4, 5, 4, 1, 3, 5, 4, 4, 0, 3, 5, 5, 3, 2, 3, 4, 4, 4, 3, 5, 5, 5, 4, 3, 2, 3, 1, 1, 3, 4, 5, 4, 3, 2, 5, 5, 4, 3, 2, 4, 3, 5, 4, 3, 4, 2, 4, 2, 3, 1, 4, 4, 2, 3, 4, 1, 3, 2, 3, 4, 5, 3, 1, 2, 0, 3, 4, 5, 2, 5, 4, 4, 5, 4, 3, 4, 2, 4, 5, 5, 4, 4, 1, 2, 2, 4, 5, 4, 4, 1, 2, 5, 3, 4, 4, 4, 4, 4, 2, 2, 3, 1, 1, 4, 2, 1, 2, 5, 3, 5, 4, 4, 1, 2, 5, 5, 4, 2, 4, 5, 3, 5, 4, 5, 5, 1, 3, 5, 5, 2, 1, 1, 5, 4, 5, 4, 5, 3, 3, 3, 3, 5, 5, 4, 1, 5, 0, 4, 3, 4, 4, 4, 3, 2, 3, 2, 2, 5, 1, 5, 1, 2, 0, 2, 2, 4, 3, 5, 1, 3, 3, 2, 5, 3, 4, 5, 3, 5, 2, 5, 5, 4, 2, 5, 3, 1, 2, 3, 3, 2, 2, 3, 3, 4, 3, 4, 5, 2, 5, 5, 4, 2, 2, 4, 0, 0, 5, 3, 1, 5, 4, 4, 4, 1, 3, 5, 4, 3, 4, 3, 2, 3, 4, 5, 2, 1, 5, 4, 1, 3, 1, 1, 3, 5, 2, 5, 1, 4, 4, 5, 5, 4, 2, 3, 3, 4, 4, 4, 1, 3, 0, 5, 4, 1, 5, 3, 5, 5, 0, 3, 0, 5, 0, 5, 5, 4, 3, 5, 0, 5, 1, 4, 5, 5, 2, 3, 4, 2, 4, 4, 1, 2, 2, 4, 2, 4, 4, 5, 5, 4, 4, 2, 4, 4, 5, 4, 5, 5, 4, 1, 2, 2, 4, 4, 5, 2, 1, 5, 4, 5, 3, 3, 1, 0, 5, 3, 3, 5, 1, 4, 4, 5, 5, 5, 5, 0, 4, 5, 5, 5, 5, 5, 3, 5, 5, 2, 4, 5, 5, 0, 5, 3, 5, 2, 5, 4, 2, 3, 5, 4, 3, 5, 3, 2, 5, 5, 5, 5, 2, 3, 4, 5, 1, 3, 4, 0, 2, 5, 5, 5, 3, 1, 1, 3, 2, 4, 2, 3, 5, 3, 3, 4, 3, 4, 4, 5, 5, 4, 5, 5, 2, 5, 4, 5, 3, 3, 4, 2, 3, 2, 1, 4, 4, 4, 4, 5, 4, 5, 1, 4, 2, 5, 4, 4, 3, 4, 4, 1, 5, 1, 0, 5, 2, 4, 1, 5, 5, 4, 3, 3, 5, 2, 4, 2, 2, 5, 3, 0, 2, 5, 5, 3, 5, 0, 4, 1, 3, 3, 1, 5, 2, 4, 3, 1, 3, 3, 3, 1, 5, 5, 5, 3, 4, 2), opinion_correct = c(3, 3, 5, 4, 4, 5, 2, 5, 5, 5, 1, 4, 5, 5, 1, 1, 5, 5, 4, 5, 4, 4, 3, 3, 2, 5, 5, 2, 4, 3, 5, 2, 1, 2, 5, 5, 5, 4, 5, 5, 5, 3, 4, 3, 3, 5, 3, 5, 3, 5, 5, 5, 4, 4, 4, 4, 5, 3, 5, 0, 5, 5, 5, 3, 5, 1, 3, 4, 0, 1, 4, 3, 3, 5, 3, 5, 5, 2, 3, 4, 5, 5, 3, 5, 5, 4, 4, 5, 2, 1, 2, 4, 4, 3, 4, 4, 3, 5, 3, 4, 1, 4, 5, 5, 5, 2, 5, 2, 5, 5, 3, 4, 2, 5, 3, 5, 3, 5, 2, 5, 5, 2, 4, 3, 5, 5, 4, 4, 2, 5, 3, 3, 5, 2, 2, 3, 5, 3, 2, 5, 2, 4, 4, 5, 3, 3, 0, 3, 2, 5, 4, 4, 4, 4, 5, 5, 2, 2, 4, 5, 4, 2, 4, 4, 5, 4, 3, 3, 2, 3, 5, 0, 5, 5, 5, 4, 5, 4, 5, 5, 5, 5, 3, 5, 5, 5, 3, 5, 5, 1, 0, 2, 3, 3, 5, 1, 5, 5, 5, 3, 5, 2, 5, 5, 5, 5, 5, 3, 3, 5, 2, 5, 0, 4, 3, 5, 4, 3, 3, 2, 3, 3, 5, 2, 3, 4, 5, 5, 5, 5, 4, 5, 4, 5, 3, 3, 5, 3, 5, 2, 4, 5, 4, 5, 3, 2, 1, 4, 3, 5, 4, 5, 5, 5, 5, 5, 5, 1, 2, 5, 5, 5, 2, 5, 4, 5, 4, 5, 2, 5, 3, 5, 5, 5, 5, 4, 4, 5, 2, 4, 4, 4, 5, 5, 3, 4, 3, 3, 2, 3, 3, 2, 3, 3, 3, 4, 4, 5, 5, 5, 4, 2, 2, 5, 3, 4, 5, 5, 2, 3, 5, 5, 5, 4, 5, 5, 3, 3, 3, 5, 3, 3, 5, 3, 4, 4, 4, 5, 3, 5, 3, 5, 5, 1, 4, 5, 4, 0, 5, 3, 5, 4, 2, 4, 4, 5, 4, 5, 4, 3, 4, 4, 3, 4, 5, 5, 3, 2, 3, 2, 1, 5, 5, 5, 5, 4, 5, 3, 5, 1, 5, 3, 4, 5, 4, 4, 1, 1, 5, 2, 3, 5, 3, 2, 2, 3, 3, 4, 5, 5, 1, 5, 5, 2, 4, 3, 2, 5, 5, 5, 5, 5, 5, 4, 5, 4, 4, 5, 5, 3, 3, 1, 5, 5, 3, 5, 3, 4, 3, 5, 1, 2, 4, 3, 5, 5, 3, 5, 2, 4, 5, 2, 2, 2, 5, 3, 4, 5, 2, 0, 2, 5, 1, 5, 3, 1, 5, 1, 5, 3, 5, 5, 5, 4, 3, 4, 1, 1, 3, 3, 5, 4, 4, 0, 3, 4, 5, 5, 2, 3, 5, 5, 5, 5, 4, 4, 1, 5, 3, 4, 1, 4, 3, 0, 3, 5, 2, 2, 4, 2, 5, 2, 5, 3, 5, 4, 2, 5, 4, 3, 2, 5, 2, 4, 4, 4, 5, 5, 5, 3, 3, 5, 3, 2, 5, 2, 1, 3, 4, 5, 4, 1, 5, 5, 3, 4, 5, 2, 4, 5, 3, 3, 5, 2, 0, 5, 4, 4, 5, 5, 5, 2, 5, 3, 3, 4, 5, 5, 1, 5, 2, 2, 5, 5, 1, 5, 3, 5, 4, 1, 1, 2, 2, 1, 5, 2, 3, 3, 5, 4, 4, 4, 5, 1, 2, 5, 2, 5, 5, 2, 5, 3, 5, 2, 5, 2, 0, 5, 5, 2, 5, 4, 5, 2, 4, 5, 5, 4, 5, 1, 5, 3, 2, 2, 3, 2, 4, 5, 4, 1, 0, 4, 1, 5, 3, 4, 5, 5, 4, 3, 2, 2, 5, 5, 5, 1, 5, 2, 4, 2, 1, 5, 1, 4, 4, 3, 4, 5, 4, 4, 2, 3, 5, 3, 3, 3, 5, 5, 2, 4, 4, 2, 4, 4, 4, 5, 5, 4, 5, 5, 2, 5, 5, 2, 2, 4, 4, 3, 5, 2, 5, 4, 2, 3, 4, 5, 5, 5, 2, 4, 5, 5, 5, 3, 3, 5, 5, 4, 5, 5, 2, 1, 4, 4, 5, 5, 5, 5, 3, 4, 2, 1, 5, 3, 4, 5, 4, 3, 4, 5, 4, 5, 5, 5, 1, 2, 5, 3, 2, 5, 1, 5, 5, 5, 5, 2, 5, 3, 2, 2, 5, 4, 5, 3, 4, 5, 5, 5, 3, 5, 5, 2, 5, 4, 3, 3, 2, 3, 1, 2, 1, 4, 4, 4, 5, 4, 5, 4, 2, 5, 3, 4, 3, 3, 4, 2, 2, 4, 4, 4, 5, 4, 5, 3, 4, 3, 4, 5, 2, 5, 1, 1, 5, 5, 5, 4, 5, 5, 3, 5, 5, 5, 5, 5, 5, 4, 2, 5, 3, 3, 5, 4, 5, 3, 2, 3, 4, 3, 5, 4, 4, 5, 3, 5, 5, 5, 5, 5, 5, 2, 4, 2, 4, 5, 5, 5, 5, 2, 3, 4, 4, 5, 1, 3, 5, 5, 5, 2, 2, 3, 5, 2, 2, 2, 4, 5, 2, 4, 4, 4, 0, 2, 5, 3, 4, 5, 5, 2, 5, 4, 5, 5, 5, 3, 0, 5, 4, 2, 5, 3, 5, 5, 3, 1, 2, 5, 5, 4, 5, 5, 3, 3, 4, 5, 1, 5, 4, 1, 3, 5, 5, 0, 5, 4, 4, 5, 3, 5, 5, 4, 5, 4, 1, 4, 2, 4, 4, 5, 5, 5, 2, 5, 4, 3, 5, 5, 5, 3, 4, 5, 2, 4, 2, 3, 3, 4, 5, 2, 3, 5, 4, 2, 5, 2, 0, 3, 5, 1, 4, 4, 5, 3, 3, 5, 4, 3, 5, 1, 2, 2, 5, 4, 2, 5, 5, 2, 3, 5, 3, 5, 5, 4, 5, 5, 5, 4, 5, 3, 3, 4, 5, 1, 4, 4, 2, 4, 4, 2, 2, 5, 5, 5, 4, 4, 3, 2, 2, 4, 0, 3, 5, 3, 2, 1, 4, 4, 2, 3, 5, 4, 3, 2, 3, 4, 4, 5, 4, 4, 2, 3, 5, 3, 4, 2, 4, 5, 2, 5, 1, 5, 2, 2, 5, 4, 5, 4, 3, 3, 5, 5, 2, 4, 3, 3, 4, 4, 5, 5, 5, 4, 5, 5, 4, 3, 5, 5, 4, 2, 5, 5, 5, 4, 2, 2, 4, 5, 5, 4, 3, 5, 4, 5, 3, 0, 4, 5, 5, 5, 5, 3, 4, 5, 5, 5, 4, 5, 4, 3, 5, 1, 4, 2, 5, 5, 5, 5, 5, 2, 1, 3, 5, 5, 3, 4, 1, 5, 4, 5, 4, 3, 2, 2, 4, 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