//states=["000","010","101","110","111"];
//linkmat=list();
//linkmat(1)=list(1,2,"00");
//linkmat(2)=list(2,3,"01");
//linkmat(3)=list(3,4,"10");
//linkmat(4)=list(4,5,"11");
//linkmat(5)=list(5,1,"00");
//linkmat(6)=list(5,2,"01");
//linkmat(7)=list(1,3,"00");