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