Dandan, Xiaoying and Shuzhen went to take part in the Olympic Games. There are three kinds of mathematics, physics and chemistry in the Olympic Games, and each person only takes part in one. Jianguo, Xiaojie and Daniul made the following guesses: Jianguo: Dandan participated in the math competition and Xiaoying participated in the physics competition. Xiao Jie: Shuzhen didn't take part in the physics competition. Xiaoying took part in the math competition. Dandan did not take part in the math competition, while Xiaoying took part in the chemistry competition.
Dandan, Xiaoying and Shuzhen took part in chemistry, physics and mathematics competitions respectively if their guesses are half right.