data:image/png;base64,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data:image/png;base64,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random positionmore 1.1.2.31.1.2.7. Don't optimize out the first GO TO. (See note in Teacher Guide)The 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.