## 7. The Fourth Story

- What a hassle with the search for this cursed pepper! - the King said angrily. - You'd think it's impossible to bake pretzels without it! She needs pepper, you see!
- Why don't you put blotting paper in the dough for the pretzels? - he added sarcastically.
- I do, - the Queen replied, - just a tiny bit, for flavor.
- Excellent! - exclaimed the King. - By the way, now that you have pepper again, perhaps you will finally bake some pretzels?
- Without sugar? - the Queen asked.
- Why do you need sugar? Isn't jam enough? - the King inquired.
- Sugar is needed for pretzels, and my sugar was stolen!
- Please, don't start all over again! the King said wearily. - I see I won't get my pretzels after all!

But finding the stolen sugar turned out to be quite simple. It was discovered in the Duchess's house, and the investigation revealed that either the Duchess or her cook had stolen it, but not both. At the trial, the suspects made the following statements:

Duchess: The cook did not steal the sugar. Cook: The Duchess stole the sugar.

The one who stole the sugar was lying. (Whether the other one told the truth or lied is unknown.)

Who stole the sugar? Did the other suspect tell the truth or lie?
7. The fourth story. Suppose the Duchess stole the sugar. Then, testifying in court, she was lying. Therefore, her statement that the cook did not steal the sugar is false. In other words, the cook must have also stolen the sugar. But as we know for sure, the sugar was stolen by only one of the two accused. Therefore, the Duchess could not have stolen the sugar. This means the cook stole the sugar. (By the way, note that both accused were lying.)