data:image/png;base64,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:image/png;base64,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 numbers in CHANGE GHOST EFFECT and in WAIT are up to the students' taste. But the 100 in problem 4.7 is 100%, completely invisible, and it doesn't make sense to change it.random positionmore 1.1.2.31.1.2.7. Don't optimize out the first GO TO. (See note in Teacher Guide)016