A company held four competitions for swimming, bowling, billiards and table tennis  Xiao Li, Xiao Zhang, Xiao Wang and Xiao Dai all participated in one of the competitions, and the four people participated in different events
Known: (1) Xiao Li, Xiao Zhang has one person participating in a bowling game; (2) If Xiao Wang participates in a billiards game, Xiao Zhang participates in a bowling game; (3) Only Xiao Li participates in a bowling game, Xiao Wang participates in a billiards game; (4) If Xiao Wang participates in swimming or table tennis competitions, Xiao Dai will not participate in swimming or table tennis competitions
Xiao Dai participates in a billiards game