void initLorenz2(char *s);
void match2winner(char *s, int& num);
void match2loser(char *s, int& num);
void addASwinner(char *s, Matrix *po, double T, double err);
void addASloser(char *s, double err);
void advanceString(char *s);
void flipANDmatch2winner(char *s, int& num);
void flipANDmatch2loser(char *s, int& num);
void flipPO(Matrix *po);
void addASwinner(char *s);
void addASwinnerNOsave(char *s);
void printWinners();
void printLosers();
void freeLorenz2();