A series of colored lanterns are arranged in the pattern ``red, red, green, yellow, yellow, red, red, green, yellow, yellow$$\cdots$$'' What color is the $$52^{\text{th}}$$ lantern? 
Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Basic Permutation
Since $$52\div(3+2)=10r2$$, the $$52^{\text{th}}$$ colored lantern is red. 