100 T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T* *T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T*T