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Bright Women
Four extremely bright women are at a party. The hostess takes a set of eight stickers, 4 yellow and 4 purple, and shows the stickers to the other three women. She then puts two stickers on the forehead of each woman. Everyone can see all the other stickers except the two in the hostess' pocket and the two on her own head. The hostess asks each woman in turn if she knows the colors of her own stickers. The answer as follows:

Alice: "No"
Brenda: "No"
Cyndi: "No"
Alice: "No
Brenda: "Yes"

What are the colors of Brenda's stickers, and how did she figure it out? (Figure that at each step, the women all gave the only possible answer and that their reasoning was correct.)

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