data:image/png;base64,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data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAeAAAAFoCAYAAACPNyggAAAAAXNSR0IArs4c6QAADoVJREFUeF7t1cEJAAAIxDDdf2m3sJ+4wEEQuuMIECBAgACBd4F9XzRIgAABAgQIjAB7AgIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAABAoGAAAfoJgkQIECAgAD7AQIECBAgEAgIcIBukgABAgQICLAfIECAAAECgYAAB+gmCRAgQICAAPsBAgQIECAQCAhwgG6SAAECBAgIsB8gQIAAAQKBgAAH6CYJECBAgIAA+wECBAgQIBAICHCAbpIAAQIECAiwHyBAgAAB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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.010