Wanna Eat Cookies

There are n children who have landed up in an unknown place where they find just some jar of cookies to eat. They also have a dog with them. The children gather all the cookies and put them in a big jar. Exhausted, they agree to go and wait until the next morning to divide up the cookies. At one o'clock in the morning, the first child wakes up. He realizes that he can't trust the others, and deci