JMA_SEA_ICE_ANALYSIS20230425
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777779999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777799999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777799977999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777799999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777779999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777799999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777744477777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999544444544447777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777779999999999999999997779999999999999999999999999999999999999999999999999999999555555555444777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777799999999999997777777999999999999999999999999999999999999999999999999999999555555555547777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777979777777777777777799999999999977777777999999999999999999999999999999999999999999999999999999955555555557777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777999999777777777777777777777777777999999999777777799999999999999999999999999999999999999999999999999999999999995555577777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777799999777777777779999999999999999999999999999999999999999999999999999999999995544777777799999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999779999999994447777777799999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999977779997779999977777777777777999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999997777777777777999777777777777779999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999777777777777777777777777777777749999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999997777777777777777777777777777777779999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999777777777777777777777777777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999977777777777777777777777777777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777797999999999999999999999999999999999999977777777777777777777777777777777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999977777777777777777777777777777777777777777777999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999777777777777777777777777777777777777777777799999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999777777777777777777777777777777777777777777779999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999997777777777777777777777777777777777777777777799999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999777777777777777777777777777777777777777777777999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777799997977777999999999999999977777777777777777777777777777777777777777777779999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777799777777779999999999999997777777777777777777777777777777777777777777777777799999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999777777777777777777777777777777777777777777777777777999799999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999977777777777777777777777777777777777777777777779777999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999977777777777777777777777777777777777777777999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944447777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999777777777777777777777777777777777777777779999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955554444444447777777777777777777777777777777777744777777777777777777777777777777777777779999977777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555455444447777777777777777777777777777444444777777777777777777777777777777777799999777777777777777777777777777777777777777777799799999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555554444477777777777777777777777774444444444777777777777777777777777777777799777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555444477777777777777777777777744455555544447777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555544777777777777777777777777744555555554447777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555547777777777777777777777777444555555554477777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555477777777777777777777777777744455555577777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555554777777777777777777777777777774444477777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977779999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999997799979999977777779999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999997777779777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995995555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999977777797777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999977777777777999777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999977777777777777777777777777797777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555554777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777799999999999999999799999999999999999999999999999999999999999999999999999999999955555555555555555555555555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999777777777777777777777777797777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777799999999777777777779999999999999999999999999999999999999999999999999999999779799999955559555555555555555555554777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999997777777777777777777777777977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999599999997777777700077777777777777799999999977777777777779999999999999999999999999999999999999999999999999999999999999999999995555555555555555547777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999799999999999999999999997777779999999999999999999999999999999999999999995554477777777777000000000077777777777777999777777777777777999999999999999999999999999999999999999999999999999999999999999999999555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997799999999777777777777777777777799999007777777777777779999999977777777799999999999999999999999777777777999999999999444777777777000000000000000777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999995555555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777999999999977770000777777797777999999999977777777777799999999999444444477777000000000000000007777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999555559555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000777777777777777777777777777777777777777777777777777777999999999977777707777770000777799990799997777777777799999999999777444477770000000000000000007777777777777777777777777777774999999999999999999999999999999999999999999999999999999999999999995555555554777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770007000000777777700077777777777777777777777777777777777777777777999999999977777777777000000007777777077777777777777777799777777799777777700000000000000000007777777777777777777777777777744477779999999999999999999999999999999999999999999999999999999999995555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999977797777777777777777777777799977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000077777777777777777777777774444777777777777777777777777777999977777777777777777777007777777777777777777777777777777777999777777700000000000000000077777777777777777777999999777745999999999999999999999999999977777979999999999999944999999959555955555554447777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999777777777777777777777779999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777700000000000000000077777777777777777777444444477777777777777777777777777977777777777777777777777777777777777777777777777777777777777977777770000000000000000000007777799777777777799999999999999999999999999999999999999999977777777779999999999444445995555555555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999997977777777777777777779999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977700000000000000000000077777777777777777744444444447777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777770000000000000000000000799997777777779999999999999999999999999999999999999999999977777777777799999499444455555554445555555547777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999977799977777777777777779999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000777777777777777777774444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000999777777777779999999999999999999999999999999999999777777777777777777774444444444455555544444555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777977777777777779999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777774444777744444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000007700000777777999999999999999999997777799999999997777777777777777777774444444455555555447777744444777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777777777777777799999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777774444444444444444444444444444444777777777777777777777777777777777777777447777777777777777777777777777777777777777777777000000000077000000000000000000777777799999999999999999977777777799999977777777777444444777444444555555555555557777744477777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999997777777777777779999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777444444444444444444454444444444444477777777777777777777777777777777774444444477777777777777777777777777777777777777777777000000077777700000000000000077777777779999999999999999777777777777777777777777755555555555444445555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999997777777777777777779999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777444445555544444444444444444444444477777777777777444447777777777777744445554447777777777777777777777777777777777777777777770077777777777777777777777777777777777777799777777777777777777777777777777744555555555555544445555555555555574777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999777777777777777777779999999999999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777444445555555444444444444444444444444777777777774444447777777777777744455555444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777444444445555555554444444444477444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999997777777777777777777799999999999777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777444445555555444444444444444444444444777777777744444444477777777777774455555444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444455555555555444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999977777777777777777777777999999997777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777444445555555444444444444444455544444477777777444444444444477444774444445555544447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444455555555444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999777777777777777777777779999997777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777077777777777777777777477777777777444445555554444444444444444555555444447777777444444444444444444444444445555554447777777777777777777777777777777777777777777777777777777777777777777777777777777777477777774444477777774444445555444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999997777777777777777777777799999777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777770000777777777777777444444447777744444455555544444444444444444445555544447777777744444444444444455555555555555555444477777777777777777777777777777777777777777777777777777777777777777774444444444444477777777444777777777444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999977777777777777777777799979977777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999007777777777777777777777744444444444444444444455554444444444444444444444444444444777777777744444444455555555555555555555544444477777777777777777777777777777777777777777777777777777777777777444455444444477777777777777777777777777744444747777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999777777777777777777777799997777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997770000077777777777777777744444444444444444444444444544444444444444444444444444444447777777777744444444455555555555555555555555444444444444777777777777777777777777777777777777777777777777777744455555544447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999995555544477777777777777799777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777744444444444444444444444444444444444444777444444444444444444477777777777744444444444555555555555555555555555444444447777777777777777777777777777777777777777777777777777744455555444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999955555555477777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777444444444444444444444444444444444444477777777444444447777777777777777777744444444444444455555555555555555555544444777777777777777777777777744444477777777777777777777777744455444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999955555555447777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777774444445555555455555554444444444444444477777777744444477777777777777777777444455555544444444455555555555555555554444777777777777777777777444444447777777770777777777777777774444444477777777777777777777777777777777777777777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999555555555547777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777744445555555555555555555444444444444444447777777744444477777777744444474444444455555544444444444555555555555555555444777777777777777777444444444477777770000007777777777777777777777777777777777777777777777777777777777777770000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999995555555555577777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777774444455555555555555555555544444444444444444477777744444477777777744444444444444555555444444444444445555555555555555544777777777777777777444444444777777000000777777777777777777777777777777777777777777777777777777000077000000000000000000000000000777777777777777777777777777777777777777744444477777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999955555555555577777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777774444555555555555555555555554444444444444444444444444444444474444444445555544444444444444444777774444444555555555555544777777777777777777744444477777070000007777777777777777777777777777777777777777777777777777770000000000000000000000000000000077777777777777777777777777744444444444444444444444447777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999955555555554447777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777744444555555555555555555555554444444444444444444444444444444444444445555555555555444444444447777777777444444555555555444777777777777777777777747777777000000007777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000007777777777777777444444444444444444444455444444777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999555555555554447777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777444444555555555555555555555554444444444444444444444444455555545555555555555555555444444444477777777777777444444455544477777777777777777777777777777770000000077777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000777777777777774444444444444444444444444444444777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999555555555557777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777744444444444445555555555555555555555555554444444444444444444444555555555555555555555555555444444444777777777777777774444444444777777777777777777777777777777770000000777777777777777777777777777777777777777777777770000000000000000000000000000000000000007077070007777777777777774444444444444444444444444444777777777777777777777997777779999999999999999999999999999999999999999999999999999999999999999999999999999999955555555577777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777444444444444455555555555555555555555555555555455445555555544444455555555555555555555555555444447777777777777777777777744447777777777777777777777777777777777770000007777777777777777777777777777777777777000000777000000000000000000000000000000000000000077777770000777777777777777774444444444444444444447777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555557797777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777774444444444455555555555555555555555555555555555555555555555555544555555555555555555555555555544447777777777777777777777777777777777777777777777777777777777777777700007777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000077777777777777777777744444444444444777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555599999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777007777770000000000000000000777000000000000000000000007777777777777777777777774444477777777777777777797777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555799999999977777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444477777777777744477777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777777777777777777777700000000077770000000000000000000000000000000007777777777777777777777777777777777799999777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995577799999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777444445555555555555555555555555555555555555555555555555555555555555555555555555555444445555555444447777777777774777777777777777777777777777777777777777777777777777777777777777777700077777777777700000007777777777777777777777777700000777777777777777770000000000000000000000000007777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777774444777777777774444455555555555555555555555555555555555544555555555555555555555555555555554444444444444555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777000000077777777000000077777777777777777777777777777777777777777777777777700000000000000000000000077777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777444444477777777744444555555555555555555555555555555555554444455555555555555555555555554444444444444477444445555544444477777777777777777777777777777777777777777777777777777777777777777777777777770000000000777777000077777777777777777777777777777777777777777777777777777777777000000000000000000777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777774444444444777774444455555555555555555555555555555555444444444455555555555555555544444444444777777777777777444444444444447777777777777777777777777777777777700007777777007777777777777777777777777777777700007777770007777777777777777777777777777777777777777777777777777770070000000000000000000007777777777777777777777777777700007777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777444444444444444444555555555555555555555555555554444444444444455555555555555555444447777777777777777777777744444444444447777777777777777777777777777777777000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000777700077777777777777777777777777700000000000799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777744444444444444455555555555555555555555555555444444444444444455555555555555555444777777777777777777777777774444444444447777777777777777777777777777777770000007777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777000000000000000000777777700007777777777777777777777770000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777744455555555555555555555555555555555555555554444444444444444445555555555555555444777777777777777777777777777444444444447777777777777777777777777777777777000000777777777777777777777777777000007770777777777777777777777777777777777777777777777777777777777777777777777770000000000077777770000007777777777777777777770000000000000000079999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777444555555555555555555555555555555555555555554444444444444444445555555555555554444777777777777777777777777777744444444447777777777777777777777777777777777770000077777777777777777777777000077777777777777777777777777777777777770007700007777777777777777777777777777777777700000000000077700000000000700700007777000000000000000000000799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777445555555555555555555555555555555555555555554444444444444444445555555555555554444777777777777777777777777777774444444444777777777777777777777777777777777777077000077777770077777777777007777777777777777777700777777777777777777777000007777777777777777777777777777777777777700700000077700000000000000000000000000000000000000000007999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777744445555555555555555555555555555555555555555554444444444444444445555555555555544447777777777777777777777777777774444444444777777777777777777777777777777777777777777777777777777777777770077777777777777777777000777777777777777700000000000707777777777777777777777777777777777777777777777777700000000000000000000000000000777777000079999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777774444455555555555555555555555555555555555555555544444444444444444444555555555555444477777777777777777777777777777774444444444477777777777777777777777777777777777777777777777777777777777000777777777777777777777007777777777700000000007777777000777000000777777777777777777777777777777777777777777700000000000000000000000000777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777744444555555555555555555555555555555555555555554444444444444444444445555555555554444477777777777777777777777777777777444444444447777777777777777777777777777777777777777777777777000000000007777777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777774444445555555555555555555555555555555555555555544444444444444444445555555555555544444477777777777777777777777777777777744444444447777777777777777777777777777777777777777777777700000000000777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777770000000770000000000000000777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777774444444455555555555555555555555555555555555555555544444444444444444455555555555555554444477777777777777777777777777777777744444444447777777777777777777777777777777777777777777777770000000007777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777700077777700777777777777799799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777444444445555555555555555555555555555555555555555555544444444444444444455555555555555554444477777777777777777777777777777777774444444447777777777777777777777777777777777777777777777777770000777777777777777777777777777770000007777777777777700007777777777777777777777777777777777777777777777777777777777777777770077777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997077777777777777777774444444555555555555555555555555555555555555555555555544444444444444444445555555555555554444477777777777777777777777777777777777444444447777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777777777777000007777777777777777770000000007777770000077777777777707000007777777777007777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777000077777777777777777444444445555555555555555555555555555555555555555555555554444444447777444445555555555555554444777777777777777777777777777777777777444444447777777777777777777777777777777777777777777777777777777777777777777777777777777000000000077777777777700007777777777770000000000000000000000000000000777770000000000007777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997007777777777777777777774444445555555555555555555555555555555555555555555555555554444444477777744444555555555555544444777777777777777777777777777777777777444444447777777777777777777777777777777777777777777777777777777777777777777777777777770000000000777777777770077777777777777770000000000000000000000000000000000000000000000007777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990007777777777777777777744445555555555555555555555555555555555555555555555555555554444444477777774444455555555555544447777777777777777777777777777777777774444444447777777777777777777777777777777777777777777777777777777777777777777777777770000000000000077777777770777777777777777777000000007777777777700000000000000000000000000000000777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777774444555555555555555555555555555555555555555555555555555555554444444777777777444445555555555544447777777777777777777777777777777777774444444777777777777777777777777777777777777777777777777777777777777777777777777707770000000077700007777777777777777777777777777777777777777777777777700000000000000770000777770000007000777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777774445555555555555555555555555555555555555555555555555555555544444447777777777444455555555554444447777777777777777777777777777777777774444444777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777000077777777777777777777777777777777777777777777777770000000000000777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777444555555555555555555555555555555555555555555555555555555555444444447777777774444445555444444444447777777777777777777777777777777777777444777777777777777777777777777777777777777777777777777777777777700077777777777777700000777777777777777777777777777777777777777777777777777777777777777000000000000000777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777444555555555555555555555555555555555555555555555555555555544444444777777777774444444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777777777700000777777700077777777777777777777777777777777777777777777777777777700000000000777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777774444555555555555555555555555555555555555555555555555555444444444447777777777774444444444444444444777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777770000777777777777000007777777000000000007777777777777777777777777777777777777777777777777000000007777770007777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777744455555555555555555555555555555555555555555555555544444444444444477777777777777744444444444774447777777777777777777777777777777777777777777777777777777777777777777777000077777777777777777777777777777777000000777777777770777777777000000000077777777777777777777777777777777777777777777777777777000007777770000777777777000777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777444555555555555555555555555555555555555555555555555444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777700000777777777777777777777000000000777777777777777777777000777777777707777777777777777777770077777777000077777700000077777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777774445555555555555555555555555555555555555555555555554444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777770000777077777777777777777777000000000007777000000000777777777777777777777777700077777770000777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777744455555555555555555555555555555555555555555555555554444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777770000000000000000000077000000000777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777744447444444447777444444555555555555555555555555555555555555555555555555544444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777770000007777777770777777777777777777777700000000000000000000077707777700000777777777700077777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777444444444444444444444455555555555555555555555555555555555555555555555555444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777000000007777777700777777777777777777700000000000000000000077000000077777700777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777444444444444774444455555555555555555555555555555555555555555555555555554444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777700000000007777777000777777777777777770007777777777777777777777770000007777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777774444554444444444445555555555555555555555555555555555555555555555555555544444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977799999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777744444444444444444445555555555555555555555555555555555555555555555555555544444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777779999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777744444444444444444555555555555555555555555555555555555555555555555555555544444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777000007777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777444444447777444444555555555555555555555555555555555555555555555555555555544444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777777777777777777777777777777777777777777777777000007777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777799999997777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777444447777777444455555555555555555555555555555555555555555555555555555555444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777700007777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777779999977777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777744444447777744445555555555555555555555555555555555555555555555555555555555444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777777777777777777777777777777777777777777777777777000777777700000000777777777777777777777777777777777777000077777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777744444444444444444455555555555555555555555555555555555555555555555555555555554444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777700777770000000000077777777777777777777777777777777777000007777777777777777777777777777777777777777777700777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999477777777444555555555444444444555555555555555555555555555555555555555555555555555555555554444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777700077799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997744777445555555555555555444444555555555555555555555555555555555555555555555555555555555554447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777777777770000700000777777777777777777777777777777777777777770077777777777777777777777777777777777777770777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777774455555555555555555555555555555555555555555555555555555555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777770000000777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777770077777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444777777777777777777777777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777777777777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544477777777777777777777777777777777777777777777000000000000777777777777777777777777777777777777777777777777777777777700000000777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000077777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777775555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554477777777777777777777777777777777777777777777000000000000077000777777770007777777777777777777777777777777777777777700000000777777777777777777777777777777777777777777777777777777777777777777777000000077777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555447777777777777777777777777777777777777777777000000000000000000007770000000777777777777777777777777777707777777777777000000777777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777770077777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777745555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554477777777777777777777777777777777777777777000000000000000000007777000000077777777777777777777777777000777777777777770000077777777777777777777777777777777777777777777777777777777777777777777777700000077777777777777777777770007777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994447777775555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444477777777777777777777777777777777777770000000000000000007000007777700007777777777777777777777777700000077777777777700777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554544444477777777777777777777777777777777000000000000000000000000000000000777777777777777777777777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999544444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544477777777777777700777777777700000000000000000000000000000000000007777777777777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777777000000077777770000000000000000000000000000000000000000777777777777777777777777770000000077777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554447777777000000007777000000000000000000000000000000000000000000077777777777777777777777777700000007777777770077777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444777777000000000077700000000000000000000000000000000000000777777777777777777777777777777770000077777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555559999755555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777000000000000000000000000000000000000000000000000000000077777777777777777777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777770000077777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555599955555599999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554477777770000000000000000000000000000000000000000000000000000007777777777777777777777777000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555599999555555599999999999995555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555447777777700000000000000000000000000000000000000000000000000000007077777777777777777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777770000077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555559999995555555999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777777077700000000000000000000000000000000000000000000000000007777777777777777777777000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555559955999999995555559999999999999935555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555333777000000770000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994455555555555555555555555555995559955555599999999999993355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553333220000000002200000000000000000000000000000000000000000000000000000777777777777777777777777777777777777007777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999344455555555555555555555555555555555555555999999999999993355555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555332220000000000200000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997700000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999334445555555555555555555555555555555555555955559999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555432220000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000777777777770000000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999934444555555555555555555555555555555555559555555999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555543222000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777000077777700000000007777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555555555555555555555555555555555555555599999555555955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555553322000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777000000000000000000777777777777777777700000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555995555559555555555555555555599555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555322200000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000777700777777777770000000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555559595555599999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555432220000000000000000000000000000000000000000000000000000000000000000077777000077777770000077777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000007777777777000000000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555543220000000000000000000000000000000000000000000000000000000000000000077777000077700000000007777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977799999999999999700000000000000000000000000000000000000000000000000000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544332000000000000000000000000000000000000000000000000000000000000077777777777777700000000000777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777779999999999970000000000000000000000000000000000000000000000000000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555955559955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554333000000000000000000000000000000000000000000000000000000000000077777777707777770000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777000000000000000000000000000000000000000000000000000000000000000000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559955595555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555955555555555332200000000000000000000000000000000000000000000000000000000000007777777700777777000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777700000000000077770000000000000077770000000000000000000000000000000000077000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555995555555555333200000000000000000000000000000000000000000000000000000000000000007777777777777777777777777770007777777777777777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777007777770077777700000000000007777000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559995999555555555555555555595555555555555555555555555555555555555555555555555555555555555555555555555555959995555555555533200000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777770007777777777777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777000077777777777777777000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999995555555555555555555559995555555555555559994455555555555555555555555555555555555555555555555599999999999555555555552220000000000000000000000000000000000000000000000000000000000000000077777777770000000000000077777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777770007777777777777770000007000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999955555555555555555555559999999955555599999999333555555555555555555555555555555555555555555555555999999999955555555553320000000000000000000000000000000000000000000000000000000000000000007777777777700000000000000007770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777700777770000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555999999995555555555555555555555559999999999999999999999995555555555555555555555555555555555555555555555555599999999999555555553333000000000000000000000000000000000000000000000000000000000000000000077777777770000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777700077777777777777777777777777777777777777000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555599999999999999999999999999955555555555555555555555555555555555555555555555559999999999555555555333000000000000000000000000000000000000000000000000000000000000000000000777777777777770000000000007777777777777777777777777777777777777777777777777777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555999999999999999999999999999999955555555555555555555555555555555555555555553355999999999555555555333000000000000000000000000000000000000000000000000000000000000000000000000000777777777700000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999995555555555555555555555555999999999999999999999999999995555555555555555555555555555555555555544733335599999999445555555333300000000000000000000000000000000000000000000000000000000000000000000000000077777777700000000000000077777777777700777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777000000000777777777777777777777777777777777777777770000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999995555555555555995559999999999999999999999999999999955555555555555555555555555555555555544333335559999993355555555333200000000000000000000000000000000000000000000000000000000000000000000000000000007777770000000000000000077777777700000777777777777777777777777777777777777777777777777777777777777777777700000000077777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777000000000077777777777777777777777777777777777777770000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999955555555555599995599999999999999999999999999999999955555555555555555555555555555555555544222255555999932225555554433300000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000000000777777777700000007777777777777777777777777777777777777777777777777777777777770000077007777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999997777777777700000777000000000007777777777777777777777777777777777777770000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555559555599999999995555555555555999995599999999999999999999999999999999555555555555555555555555555555555555554422555555999933325555555433300000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000777777777777700000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999997777777700000000000000000000000077777777777777777777777777777777777777700000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944999999999999999955555555555555999995599999999999999999999999999999999955555555555555555555555555555555555555522555559999993222555554433300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999997777770000000000000000000000000000000007777777777777777777777777777777700000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555999955599999999999999999999999999999999999555555555555555555555555555555555555555555559999993222455544433300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999997777000000000000000000000000000000000000000777777777777777777777000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555599999555999999999999999999999999999999999999995555555555555555555555555555555555555555599999999333445554433200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999997700000000000000000000000000000000000000000000077777777777777777770000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999955555999999999999999999999999999999999999999555555555555555555555555555555555555559999999999333355555443220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000777777777777777777000000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559999999555559999999999999999999999999999999999999999955555555555555555555555555555555555599999999999933355555543322000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999777000000000000000000000000000000000000000000000077777777777777777700000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999995555599999999999999999999999999999999999999999999955555555555555555555555555555599959999999999993355555553333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000077777770777777777777777777000000000000000000777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555999955555599999999993355555555333200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000007777777777777777777777777777700000000000077700777777077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555999999555555999999999999335555555533220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000077777777777777777777777777000000000000000077770077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959595555555595999999999555559999999999999935555555533332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999997700000000000000000000000000000000000000000000000077777777777777777777770000000000000700077777777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599955555559999999999999999999999999999935555555553333200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000707777777777777777777770000777777777777777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999999999999999999999999999994555555553333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999994555555555333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999993355555555333320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999000079999990000000000000000000000000000000000000000000000000000000000000000700000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999999335555555333330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999000000000009999000000000000000000000000000000000000000000000000000000000000007777777777000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959999999999955555555599999999999999999999999999999335555555533332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999990000000000000000099000000000000000000000000000000000000000000000000000000007777077777777700000007700777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995799999999555555555559999999999999999999999999999335555555533333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000077777000007777000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977999955555555555555999999999999999999999999999935555555554333200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999977779999900000000000000000000000000000000000000000000000000000000000000000000000000007777770000000000777777777777777707777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977755555555555555559999999999999999999999999999933555555554333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999977779999000000000000000000000000000000000000000000000000000000000000000000000000000007777770000000077777777777777700007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555559999999999999999999999999999933555555555333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999779979900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999945555555555533300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999955555555555543333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555544333220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999977770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555544333320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000007777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999955555555555544433330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555999999999999999999999999999999945555555555555433330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999945555555555555433300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999999999999999999999999999999935555555555554433300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999999999999999999999999955555555555554333330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999999455555555555554333330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777000000000000777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999999999999999999999999993355555555555554333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000000000007000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999999922335555555555544333300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000070000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555599999999999999999999999999999922255555555555533332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777700000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000770007777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955599999999999999999999999999999222255555555555533332000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777770007777000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000077077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599999999999999999999999999999922255555555555533333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777700000000070777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000777000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555999999999999999999999999999999333555555555555533333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999977700000000000000000000000000000000000000000000000000000000000000000700007777777000000000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955335999999999999999999999999999999333555555555555553333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000700700777777777700000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999553335599999999999999999999999999999933555555555555553330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000007777777777777777770777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993225599999999999999999999999999999955555555555555553333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999077700000000000000000000000000000000000000000000000000000000000000000007007077777777777777777777777777777777777777777777777700777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999922225999999999999999999999999999999935555555555555553330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999007700000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992222233599999999999999999999999999999994555555555555553300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777000000000777777777777777777777777777777777777777777777777700777777999999999999999999999999999999999977077000000000000000000000000000000000000000000000000000000000000000777777777007777777777777777777777777777777777777777777777007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999222222200555999999999999999999999999999999555555555555553330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777700000000000000777777777700000000000007777777777777777777777777777777000000777777770007777777999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000077777777000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200000000055999999999999999999999999999999455555555555553330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770070000000000000000000000077777777700000000000077777777777777777777777777777000000000007777777077777777999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000777777777700077777777777777777777777777777777777777777700777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000009999999999999999999999999999999945555555555553330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777000000000007777777777777777777777777777777777700000777777777777777777999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777700077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000099999999999999999999999999999944555555555555333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000000777777777777777777777777777777777777777777777777777777777999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000009999999999999999999999999999994555555555554333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000999999999999999999999999999999455555555553322000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777000000000000000000000007777777777777999999999999999999999999909000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000009999999999999999999999999999455555555533320000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777000000000000000077777777777777777777777999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000009999999999999999999999999999455555555533220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777700000000000000000077777777777777777777777777999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000030000000000000000999999999999999999999999999955555555333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000777777707777777777777777777007007770770000077777777777777777777777777799999999999999999999000000000000000000000000000000000000000000000000007777700000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000333333330000000000000099999999999999999999999999955555555333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777700000000000000000000000000000000000000000077777777777777777777707777777777777777777777777777799999999999999999990000000000000000000000000000000000000000000000000077777700000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990300000333303333000000000000099999999999999999999999999955555555333000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777000000000000000000770000000000000000000000077777007777777777700000000077777777777777777777777799999999999999990700000000000000000000000000000000000000000000000000007777000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000003330000000000000000000009999999999999999999999999995555555533300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000000000000000007770000000000000000000000777777777777777770777770000000000000000000077777777777999999999999997000000000000000000000000000000000000000000000000000000770000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000555330000000000000000000009999999999999999999999999995555555533200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000000000000000000000000000000000777777777777777777777777777777770777777770000077777777777779999999999777700000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990004454330000000000000000000000999999999999999999999999995555555555200000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000077777777777777777777777777777777777777777777000777777777777779999999977777770000000000000000000000000000000000000000000000007777700000000000000000000077777777777777777777777777777777777777777777777777777777777777770007777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990044433300000000000000000000000999999999999999999999999999555555555300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000000000000000000000077777777777777777777777777700799999999777777777700000000000000000000000000000000000000000000077777000077707777077777777777777777777777777777777777777777777777777777777777777777777700000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990044330000000000000000000000000999999999999999999999999999555555555300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777700077999997777777707770777000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777000000770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900073330000000000000000000000000999999999999999999999999999555555555330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777000000000007777700077997777777777707777770000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777000777777777000007770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900033330000000000000000000000009999999999999999999999999999955555555330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777700000000000007777000779970000000000000700000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777000070007770000077770007700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000444330000000000000000000000099999999999999999999999999999955555555500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007799997000777700000000000799000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777770007777700000000000000077777777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000444433330000000000000000000099999999999999999999999999999955555555550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099997000077770000099000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777700007777700000000000077777770077777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000444444333000000000000000000999999999999999999999999999999995555555553000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000900000007770009999700000000000000000000000000000000000000000000000000000000000000000000000000000000777000777777777777777777777777777777777777777777777770077777000000000000077777700000770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900004455544330000000000000000000999999999999999999999999999999995555555555300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000079997999999900000000000000000000000000000000000000000000000000000000000000000000000000000000770000777777777777000007777777777777777777777777777777777770000000000000077777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000004555553330000000000000000000999999999999999999999999999999995555555554440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000799997999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777700000000777777777777777770777777777777777700000000000000777777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900445555543333000000000000000000999999999999999999999999999999995555555555430000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999990999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000777777777777777777777777777777770000000000000007777777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999974445555543333000000000000000009999999999999999999999999999999995555555555440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000009999999779000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777770000000000000070077777777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999744445555543333000000000000000009999999999999999999999999999999999555555555300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000079999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777700000000000000777777777777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444445555533333000000000000000000999999999999999999999999999999999555555555330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000799999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777000000770000000777700777777700000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944445555433333000000000000000000999999999999999999999999999999999555555553300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777000000777700000000000077777770000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555433330000000000000000000099999999999999999999999999999999955555553300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700779999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777000000077770000000000077777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994555554433330000000000000000000099999999999999999999999999999999955555553300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007007777999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777000000077770000000000007777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999974455554333330000000000000000000099999999999999999999999999999999955554555330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000777777777779979999999999970000000000000000000000000000000000000000000000000000000000000000000000000007770000000777777777777777700077777777777777777777777777777777777777000000777700000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445544333330000000000000000000099999999999999999999999999999999995554455530000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700000007777777777779999999999999970007700000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777000000777000000000000070000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999974444443330000000000000000000000099999999999999999999999999999999999555475555000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700077777777777977777999999999997770000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777700000077770000000000777000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444433300000000000000000000000009999999999999999999999999999999999555445550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777700077777777777777777999999977777770000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777770000077777000000000077000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944333000000000000000000000000009999999999999999999999999999999999954444450000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777779999977777777770000000077000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777007777777000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993330000000000000000000000000009999999999999999999999999999999999994447553000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777779999977777777770000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777077777770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997703000000000000000000000000000099999999999999999999999999999999999994445555000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777700000007777700000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000099999999999999999999999999999999999999445555000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000099999999999999999999999999999999999999445555500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777000007770000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000330000000000000000000000000000099999999999999999999999999999999999999975555500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777000777770007700070000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000099999999999999999999999999999999999999975555550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777997777777777777777777777777000077777000000077000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777700000000070000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999995555550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777997777777777777777777777777700077777000000007700000000000000000000000000000000000000000000000000000000000000000000000777777770077777777777777777777777777777777777777777777700000000777000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999995555550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777997777777777777777777777777700007777700000000770000000000000000000000000000000000000000000000000000000000000000000000007777770000077777777777777777777777777777777777777777770007777777000000000000000000007000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999995555550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777700007777770000000770000000000000000000000000000000000000000000000000000000000000000000000000077777000000777777777777777777777777777777777777777777777777777000000000000000000777770000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999999555555000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777779977777777777777777770000077000777777777000000000000000000000000000000000000000000000000000000000000000000000000007777770000007777777777777777777777777777777777777770007777777000000000000000000777700000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999999445550000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777799997777777777777777777000077777777777777000000000000000000000000000000000000000000000000000000000000000000000000000007000000077777777777777777777777777777777777777700000007770000000000000000000777770000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999999999999999999999999977770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777799977777777777777777777700000777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777700000000700000000000000000000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000099999999999999999999999999999999999999999977773000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777999077777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777770000000000000000000000000000077777707777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000999999999999999999999999999999999999999999977777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777779999077777777777777777777000070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777770000000000000000000000000000077777007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000999999999999999999999999999999999999999999997770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777779999077777777777777777777700077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777770000000000000000000000000000077777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000999999999999999999999999999999999999999999997700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777779999777777777777777777777000007000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000777700070007700777777777777777777777777770000000000000000000000000007777777770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000999999999999999999999999777000000000099999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777779997777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000007000777000000000077777777777777777777770000000000000000000007000000777777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000999999999999999999999000000000000000000009999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000070000000000000000077777777777777000000000077700000000077700000777000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000009999999999999999999990000000000000000000000099770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777799977777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000007777777777700000000007777000000000777770007770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000009999999999999999999000000000000000000000000099970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777779977777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000000000000077077700000007777700777000000007777777777777000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000099999999999999999999000000000000000000000000000990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777977777777777777777777700000000000000000000070000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000777777700770000000777777777777777000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000099999999999999999999000000000000000000000000000099000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777770777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000000000000007777777777700000000000777777777777777000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999000000000000000000000000000009990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777779977777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000000000000000000000000007000077770777777777000000000077777777777770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999000000000000000000000000000000799000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777997797777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770000000000000000000000000007777000007777077777777000000000007777777777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000999999999999999999999000000000000000000000000000000009900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777999777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777770000000000000000077700007777770000007770000077000000000000000777777777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000009999999999999999999990000000000000000000000000000000007900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000077700000000777777777777777777777777777777777777997777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777000000000000000077770077777700000000000000000000000000000000777777777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000099999999999999999999900000000000000000000000000000000000790000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777770777777777770000077777777777777777777777777777777799777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777770000000000000000077777777777000000000000000000000000000000000777777770000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000009999999999999999999000000000000000000000000000000000000090000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777000777777777077777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777707000000000000000777000000777777700000000000000000000000000000000000777777700077770000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000009999999999999999999000000000000000000000000000000000000099000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777007770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777000000000007700000077700000777777000000000000000000000000000000000007777777770777777000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770777777000000000000000770007700000077770000000000000000000000000000000000077777777777777777000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000099999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000777000000000077777000000000000000777000000000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000099999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000070000000077700000000000000000000000000000000000000000000000000000000000000000000000007777777777770000000000000000007770000000000007777000000000000007777000000000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000009999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000777777777700000000000000000077770077777700000700000000000000007777000000000000007777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000700000000000000000000000000000000000000000000000000000000000000000000000000007777777700770000000000000077700007770000000070000000000000077777000000000000007777777777777777777007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000099999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770700007000000000077700000000000077777777700000007777777000000000007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000099999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777077000007777777777777777777797700777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000077777777700000007777777000000000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000099999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777000000000000077777777777777770000777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000700000000000000007770077777777777000007777770000000000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000009999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777700000000000077007777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700000000000077777700007770000000007777777777777777777777777770000000000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000009999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777770000000000777700777777777777777777777777777777700777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000077777777700077770700000077777777000077007777777777700000000000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000009999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000777777777777777777770000000000777777777077777977777777777777777770000077777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000077777777700000777770000077777770000007777777777000000000000000007777777777777777777000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000009999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000007777777777777777000700077777777777777777997777777777777777770000077770077777777770000700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777770000777777700007777777777777777777770000000000000000077777777777777777000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000009999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000777777777777777777777777777777777777777777777777777777777700000007000007777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777770000777777777777777777777777777777777777000000000000077777777777777777000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000009999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007707007777777777777777777777777777777777777777777777777077770000000007777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777700000777777777777777777777777777777777777700000000000077777777777777777700000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000099999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777000000007777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777000007770000077777777777777777777777777700000000000000077777777077777777700000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777700777777777777777777000000007777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000077000000077007700077777777777777777700000000000007777777777077777777700000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777000000000000000007777777777700000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000077777777777777777777000000770000007777777777777777777770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000009999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770777777777777777779977777777777777777000000000000000077777777777770000000000000000777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000007777777777777700000000007777000007777777777777777777770000700777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000009999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000777777777777777779777777007777777777000000000000000777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777707777777700000000000070000000777777777777777777000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000099999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000077777770777777777700770007777777000000000000000007777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000077700077777700000000000000000000000000000000007770007777777000770000000000000007777777777770777777000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000099999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700000000000007777700007777777770077700000777000000000000000700777777777777777700000000000000000770000000000000000000000000000000000000000000000000000000000007777777777777700000000000700000000000000000000000000007777770007770000000000000077777777777777777777777077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000099999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777000000000000777000007779777770000000000077000000000000000770777777777777777000000000000000000770000000000000000000000000000000000000000000000000000000000000777777777777700000000000000000000000000000000000000777777700007000000000000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777700000000007777000000770077770000000000007000000000000000000000000007777777000000000000000000070000000000000000000000000000000000000000000000000000000000000000077777777700000070000770000000000000000000000007777777000000000000000000007777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000799999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770000000000777700007777777700000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000000070007770000000000000000000000000777000000000000000000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770000000000077777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000000000007700000000000000000000000000000000000000000000000700077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000099999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777700000000000077997777777777000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000099999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000007997777777777000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000777777770007700000000000000000000000000000000000000000000000000000007707777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000099999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000077777777770000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000777777777070000000000000000000000000000000000000000000000000000000000000777777777777777777777777700777777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000009999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777700000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000077777770000007770000000000000000000000000770000000000000000000000007770077777777777777777777000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000009999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000799000000000000777770000000000000000000000000000007700000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000007777770077077700000000000000000000000077770000000000000000700777777777077777777777777777777000000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000009999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000007999000000000000007700000000000000000000000000077007770000000000000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000077700077777000000000000000000000000777000000000000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000009999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000000079907000000007770000000707000000000000000000000777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000007700000000000000000077777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000009999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007799900000000007777000000777770000070000000000007777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000007000000000000000000000000000000000000000000000777770777777077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000079990000000000000777000000777777777777000000000000777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000000000000000000000000000000007700007777777777777777777777777777777777777007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700799907770000077777777770000777777777777000000000007777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000777777777777777777777777777777777770007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777799997777777777777777777777777777777777777700000000077777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000700000077777777777777777777777777777777770007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999907900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000077799977777777777777777777777777777777777770770000000007777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000000000000000077777700000000007777777777777777770000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000007777707777777770007777777777777777777777770777000000000777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777700000007777777777777007700000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000009999999999999900099999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700000000000077700077777700000000000777777777777777770077000000000777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777770000000000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000099999999999990000099999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000007777777777770000000000777777777777777770077700000000077777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777000000000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000099999999999900000079979999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777000000007777777777777700000007000000000077777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777077777000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000099999999999900000000000000079999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000779700000000000000000777777777777700000077777777777777770000000000000000007777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000777777777777777777770077777777777000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000099999999999000000000000000000999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777797000000000000000000077777777777700000077777777777777770000000000000000000077777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777770077777770700077777777777700777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000099999999999000000000000000000099999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770090000000000000000000077777777770000000077777777777770000000000000000000000077777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777770000000077770000777770077777777770077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000099999999990000000000000000000099999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000000000000007777777700000000007777777777770000000000000000000000007777777777777000000000000000000000000000000000000000000000000000000000000000000700000000000000000000000000000000000000000000000000000000000000000000000077777777777700000000077700000777777777777777700777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000009999999900000000000000000000099999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777007000000000000000000000077777770000000000777777777770000000000000000000000007777777777770000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000007777700777700770000777700000077777777777777700777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000009999999900000000000000000000009999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770777770000077770000000000000007777000000000007777777770000000000000000000000000077777777777000000000000000000000000000000000000000000000000000000000000000000000777770000000000000000000000000000000000000000000000000000000000000000007777700000007777000777700000077777777777777707777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000990000000000009999999900000000000000000000000990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777770000000000000000077700000000000000077777000000000000000000000000000000777777700000000000000000000000000000000000000000000000000000000000000000000007700000000000000070000000000000000000000000000000000000000000000000007777700000077777700077000000077777777777777007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000900000000000009999999000000000000000000000000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999997777777777777777777000000077700000000077000000000000000770000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000000000000007770000000777777777777777777777777000000777777777070007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000999999000000000000000000000000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999007777777777777777770000000007777700000000000000000000000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700777777777777777777777777777700007777777000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000999999000000000000000000000009900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999900007777777777777700000000000077777777700000777700000000000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000077777777777777777777777777777777777777777777700000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000999999000000000000000000000000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999997000007777777777777777000000000007777777777777777777000000000000000000000000000000000000000000077777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770007007000777777777777770000777777770777777777777777777000000000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999900000007777777777777777700000000007777777777777777777700000000000000000000000000000000000000000077777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777770000000777777770777777777777777700000000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999000000000777777777777777770000000007777777777777777777770000000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000777777777700000000777777700777777700777777000000000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999000000000007777777777777777770000007777777777777777777777000000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000077777777000000000077777700007777700000000000000000000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999900000000000007777777777777777770077770077777777777777777770000000007000000000000000000000000000000007777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777770000000007777700000077777700000000000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999000000000007777777777777777777777000770077777777777777777777000000007700000000000000000000000000000000777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777000000000777770000000777770000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999900000000000000770077777777777777777777000000777777777777777777700000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770777777000777777777770000000077700000000077770000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999900000000000000000700000077777777777777777777700077777777777777777770000000000000000000000000000000000777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777700777777777770000000007000000777777700000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999000000000000000000000000000000077777777777777770000777777777777777770000000000000000000000000000000000777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777700000000777000007777777700777770077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999900000000000000000000000000000000000777777777777770000777777777777777770000000000000000000000000000000000000007777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777700000007777700077777777777777700007770077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099000000000000000000000000000000000000000000000000000007777770000000000777777777777777777000000000000000000000000000000000000000777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777700777700000007777777777777777777777000000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999990000000000000000000000000000000007770000000000000007777770000000000000007077777777777700000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777700777770000007777007777777777777770000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000900000000000900009990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999900000000000000000000000000000000077777770000000000077777777000000000000000000000777707770000000000000000000000000007777777000000070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777770077700000000770007770707777777000000000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000009900000000000909999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009900000000009999999900000000000000000000000000000000007777777000000000007777777000000000000000000000077700777700000000000000000000000007777777000000000000000000000000000000000000000000000000000000000000000000007777777000000000000000000000000000000000000000000000000077777770777777777000000000000000077770000077777000700000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000009900000000000999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009900000000099999999900000000000000000000000000000000007777777700000000000777777700000000000000000000007700077777777000000000000000000000777777700000000000000000000000000000000000000000000000000000000000077777777777777777000000000000000000000000000000000000000000000077777777777777777700000000000000777700000777777777000000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000009000000000000999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009990000000999900000000000000000000000000000000000000000077000770000000000077777700000000000000000000000000007077777700000000000000000000777777770000000000077700000000000000000000000000000000000000000000077770077777777777777000000000000000000000000000000000000007777777777777777777777700000000000000070000007777777700000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000900000009999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999990000000000000000000000000000000000000000000007700000000000000007777000000000000000000000000000000000777000000000000000000000777777777700000000777700000000000000000000000000000000000000000077777700077777777777777700000000000000000000000000000000007777777777700007777777777000000000000000000000000777777700000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999000009999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999000000000000000000000000000000000000000000000000770000000000000000777000000000000000000000000000000000000000000000000000000000777777777777700000777700000000000000000000000000000000000000000777777770007777777777777777700000000000000000000000000000077777777777700000000777000000000000000000770000000000777700000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999000009999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999990000000000000000000000000000000000000000000000000000000007700000000000007000000000000000000000000000000000000000000000000000000000777777777777700000077770000000000000000000000000000000000000000077000777777777777777777777770000000000000000000000000000077777777777770000000000000000000000000000777000000007777700000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000009990000009999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000090099999999000000000000000000000000000000000000000000000000000777777777777700000000000000000000000000000000000000000000000000000000000000000000000777777770000000077770000000000000000000000000000000000000000000000077777777777777777777770000000000000000000000000000000000000007770000000000000000000000000000777000000077777700000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999990000000000000000000000000000000000000000000000000007777777777700777770000000000000000000000000000000000000000000000000000000000000000770777777770000000007770000000000000000000000000000000000000000000000077777777777777777777700000000000000000000000000000000000000007770000000000777000000000000007777000000777777700000007777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099909999900000000000000000000000000000000000000000000000000007777777770000777777700077700000000000000000000000000000000000000000000000000000000777777777770000000000777770000000000000000000000000000007770000000000077777777777777777777770000000000000000000000000000000000000007770000000000077700000000000007700000000777777700000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999000990000000000000000000000000000000000000000000000000000000077000000000077777770007777700000000000000000000000000000000000000000000000000777777777777770000000000000777000000000000000000000000000000700000000000077700007777777777777777000000000000000000000000000000000000000000000000000077777700000000000000000000777777700000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999000000000000000000000000000000000000000000000000000000000000000000000007777777777000077700000000000000000000000000000000000000000000000000777777777777777000000000000077000000000000000000000000000000000007777777000000000077777777777777000000000000000000000000000000000000000000000000000777777000000000000000000700000777000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999990000000000000000000000000000000000000000000000000000000000000000000000007777707777700077777000000000000000000000000000000000000000000000000007777777777777700000000000077700000000000000000000000000000000777000777700000000077777777777777700000000000000000007000000000000000000077777700000777770000000000000077777700000000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999900000000000000000000000000000000000000000000000000000000000000000000000007777000007700077777000000000000000000000000000000000000000000000000000777777777777777000000000007700000000000000000000000000007777770077777770000000077777777777777770000000000000000777700000000000000000777777777007777770000000000000777770000000000000007777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999997000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000007000000000000000000000000000000000000000000000000000000777777777777700000000000700000000000000000000000000077777777777777777000000007777000777777000007000000000000777700000000000000007777777777777777700000000077700777700000000000000007777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777700000000000000000000000000000000000000077777777777777777700000000000000777777000777700000000007777700000000000777777777777777777777770000000077777777777700000000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000909990000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000000000000000000000000000000000000000000000000000000000000000077777777777000000000000000000000000000000000000000007777777777777777770000000000077000077770077770000000077777700000000077777777777777777777777777000000077777777777770000000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000090999990000000000000000000000000000000000000000000000000000000000000000000000000000000777700000000000000000000000000000000000000000000000000000000000000000000077777777770007700000000000000000000000000000000000007777777777077777770000000000000000077770077777000000077777700000000777777777777777700000007770000000000000000777000000000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000099900000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000000000000000000000000000000000000000000000000000000000007777777777077700000000000000000000000000000000000007777777777707777770000000000000000007777007077000000777777700000077777000777777770000000000770000000000007000770000000000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999000000000000000000000000000000000000000000000000000000000000900000000000000999000000000000000000000000000000000000000000000000000000000000000000000007700000000000000700000000000000000000000000000000000000000000000000000000000000000000007777777777777700000000000000000000000000000000000000077777777777777770000000000000000007777000000000077700007777700077777000077777770000000000000000000000077707770000000000007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999990000000000000000000000000000000000000000000000000000000009990000000000000990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777770000000000000000000000000000000000000000000777777777777000000000000000000000000000000000000000070700700077770000007777000000000000000000000000007777700000000000007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999000000000000000000000000000000000000000000000000000000099999999090000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000000000000000000000000000000000000000000000000000777777777000000000000000000000000000000000000000000000077777777777000000000000000000000000000000000000007700000000000000000000000000000000000000000000000007777777700000000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999990000000000000000000000000000000000000000000000000000999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000000777777777777000077000000007777000000000000007700077070000000000000000000000000000000000000000000000000000007700000000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999000000000000000000000000000000000000090000000000000999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000007777777777000000000000007777777000000000000777700777770000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999000000000000000000000000000000000999000000000099999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000000770000000000000000000000000077777777700000000000077777777777700000000000777770077700000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999000000000000000000000000000009990000000000999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000077000000000000000000000000777777700000000000000000000777777777770000077777000000000000000777777700000000000000000000000000000000000000000000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999900000000000000000000000999970000000009990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000007000000000000000000000000007777777777000077700000000000007777777777777777700000000000000000000000000000000000000000007777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999990000000000000009999700000000099900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000007777000077777777777777700000000000000007777777770777777770000000000000000000000000000000000000000007777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999990000000000000999999700000000099900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000077777700777777777777777770000000000000000777777770077777770070000000000000000000000000000000000000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999990000000000009999997000000009999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777000000777770000000000000000077000000777000000000000000000000000000000000000000000000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999990000000099999970000000099997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777000000777770000000000000000000000000007000000000000000000000000000000000000000000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999999999999999999999999999999999999999999900000009999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000707777777777000000777770000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999000000099970000000000000000000000999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000077777700000000000000000000000777777777777000007700000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999999000000099900000000000000000000999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700000000000000000000000000777777770000000000000000000000777777777777770000000000000000000000000000000000000007700000000000000000000000000000000000007777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999700000099900000000000000000000999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000000000000000007777777000000000000000000000077777777777777000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999977700770900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000000000000000000000007777777000000000000000000700077777777777777000000000000000000000000000000000000000070000000000000000000000000000000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999977777700900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777000000000000000000000000777777000000000000000000000077777777777770000000000000000000000000000000000000000070000000000000077000000000000000000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777000007777700000000000000007770000000000000000000000007777777777000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999090000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777000007777770000000000070777770000000000000000000000007777777777700000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000009900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000000000000007777777777000007700007770000000077777777700000000000000000000007777777777777777700000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000000000000000777777777700000700007777770000777777777700000000000000000000007777777700777777700000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000000000000007777777700000000007777770000777777777700000000000000000000777777777777777777700000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000779990000000000000000009999999999999999999999999999999999999999999999999999999999999999999999999999090000099997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000777700000000777777700000000000000000000777777770007777777770000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999900000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999909707997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000000000000000777000000000000000000000777777700000777777000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977799999997999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999770000000000999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700000777700000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777799999777799999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777999977777999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000077777777777700000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977779999777779999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000777777777700000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777797777777779999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000007777777777000000000000000000000000000000000000000000000007799999999999999999999999999999999999999999999999999999999999999999999999999999999999999790999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000007000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979777999977777779999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000007777777777000000000000000000000000000000000000000000000007779999999999999999999999999999999999999999999999999999999999999999999999999999999999990099990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997779779777777779999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000077770000777777777777000000000000000000000000000000000000000000007999999999999999999999999999999999999999999999999999999999999999999999999900000099999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700077777000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779777777777779977999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000700000077777777777700000000000000000000000000000000000000000009999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000000000000000000000000000000000000000777000777770000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777779999799977999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770000000000000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000077000000000000000000000000777000000000000000000000000000000000000000000000000000000000000000000000000007700000007777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777999799999999997777770000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777770077000000000000000000000000000000090799999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000077700000000000000000000000777000000777000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777779977777777797779999777777777000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777007000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000007000000000000700000000007777700007777770000000000000000000777777700000000000000000000000000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777799997777777700000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777000000000000000000000000000000099999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000770000000000007000000077770000000077007777000700770000000000000000777777777777777000000000000000000000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999779999999997777977777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777007000000000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700077700000000000000000007770000000077000007777000000000000000000007777777777777777700000000000000000000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997797777997777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000000000000000000000000000009999999999999999999999999999999999900000999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777770000000000000000000000000000000000000000000007700000000000000000777777777777777777777000000000000000000000000000000000000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999000777999999999999900000000009999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700777000000000000000000000000000000000000000000000770000000000000007777777777777777777777770000777000000000000000000000000000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999990000000099999999990000000000000099999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700077070000000000000000000000000000000070000000000000000000000000777777777777000770000000777777777777777000000000000000000007777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999900000000009999999000000000000000000099999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700077700000000700000000000000000000000770000000000000000000000007777777777777000000000000777777777777770000000000000000000007777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007999999999900000000000999900000000000000000000000999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000077700000000000770000000000000000000770000000000000000000000077777770777777000070000007777777777777770000000000000000000077777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777000000000000000000770000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000009999999999700000000000099000000000000000000000000099999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000077770000077700000077000077777007777777777000000000000000000077777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777999777777777777777777777777777777777777007777777777777700077700000000000007000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999770000000000000000000000000000000000000000999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000777000000007777777777000777777770000000000000000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777007777777700000007777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999970000000000000000000000000000000000000000009999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000077777777000000077777777777000777777770000000000000000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777000000000000000000000777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000799000000999999999999000009000000000000000000000000000000000000009999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000007770000700000000000000000000000007700000007777777777777777777777700000000000000000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777770000000000000000000000000777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999000000099999999999900009000000000000000000000000000000000000000099999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000777000770000000000000000000000000000000007777777777777777777777700000000000000000007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777770000000000000000000000000000000007777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000799000000000099999999999999900000000000000000000000000000000000000000000999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000077707777000000000000000000000000000000000777777777777777777777700000000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999990000000000000000000000000000000000000000000009999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000007000000000000000000000000000000000000000007777777777777777777770000000000000000077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999700000000000000000000000000000000000000000000099000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000007777777777777777777770777700000000000077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777077777700000000000000000000000000000000000000000000000000000777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999900000000000000000000000000000000000000000000090000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000000777777777777777777777000000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000000000000000000000000000000000000000000000000000000777777777777777777777777000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770777770000000000000000000000000000000000000000000007777777777700777777777777700000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999979999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000000000000000077777777777700777777777770000000000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999909009999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000000000000000000000000000000000000000777777777000777770077000000000000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000777777007777700000000000000000077777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000000000000000000000000000000000000000000000077770000777777777777770000000000000007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000777700000777777777700077000000000000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777770000077777777777000000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009000000000000999999900000000000990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777000000077777777700000000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777700000000000000000000000000000000000000000000000000777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099990000000000000999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777700000000077777777770000000000000077700777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777000000000000000000000000000000000000000000000007777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000090000000000009999999000009000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000007777777777777700000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777700000000000000000000000000000000000000000000007777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000077777777770000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777000000000000000000000000000000000000000000000000707700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000000000000000000000000077077777700000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000090000000099999999999997700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770077777770000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099009900799999977779997770000770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000077700000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999977799900007779977770007777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000007777700000077777770000000000000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999977770000000799997777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007007700007077770000000077777770000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999977777700000799977777770007777770000700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777770000000000000077777700000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999997777900000799900777777777007700777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000077777000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999990779990000799970077777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000777777700000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777700000000000000000000000000000000000000000000000000000000000000700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999990079999900999970007770077777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000007777777777700000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777700000000000000000000000000000000000000000000000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999779999999999997700000007777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777770000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777779999977999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999997777700000000077777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000777777770000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999997777770000000000777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770000777770000000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999990077707777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777770007000000770000000000000000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999990000000077777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999000000000777707707777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000007777777777000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777770000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977977777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000007777700077777777000000777000000000777777777777777777000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777700000000000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000000000000000000000000000000000000000000000007777770777777777700000000000000007777777777700777000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777770000000000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000000000000000000000000000000000777700007777777000000000000000007777777777000070000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000000000077707777777777000000000000000007777777770000000000000000000000000000000000777000000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000000000000000000000000000770077777777777700000000000007777777700000000000000000000007707000000000777770000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000000000000000000000070077777777777777700000000000777777770000000000000000000077777000000000777700000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000000000000000000077000000000000000000007777777777777777000000000007777777000000000000000000000777700000700000000000000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777007000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000007777777777777777000000000000077777000000000000000000000077700000000000000000000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777700000770000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000000000000000000000777777707777777700000000007777770000000000000000000000777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777700000070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000009999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000000000000000000000000000000000000000000000000000000777777770777777700000000077777700000000000000000000777777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777797777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000900999999999999999999999999999999999999999999000000000000000000000000000000000000000000777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777000000000000000000070000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000777777777777777000000000777777000000000000000000077777000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999999999900077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000007777777770000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000000077777777777770000000007777770000000000000000000077777000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000777777777777777000007700000000000000000000000000000000000000000000000000777000000000007770000000000000000000000000000000000000000000000000000000007777777777777777700077707770000000000000000000007770000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000007777777777777000077700077000000000000000000000000000000000000000000000077770000000000070000000000000000000000000000000000000000000000000000000007777777777777777770000000000000000000000000000007770000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999797799999999777799999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777700777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777000007700000770000000000000000000000000000000000000000000077777000000000000000000000000000000000000000000000000000000000000000000077777700000000777770000000000000000000000000000077700000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777779999999999999999999999999999999999997999777799777777777777777999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777000070000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077770000777700000000000000000000000000000000000000077777777000000000000000000000000000000000000000000000000000000000000000000777000000000007777770000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000777770070000000000000000000000000000000000000000000000000000000000000000000770000000000770777770000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999997779777777777777777777777777777779977777999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777700000000000000000000000000000000777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000007777770000000000000000000000000000000000000000000000000000000000000000000007000000000000000000070000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999997777777777777777777777777777777777779777797799999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777700000000000000000000000000000077777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799997999999999999999999999999977777777777777777777777777777777777799777997777999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777770700000000000000000000000070000077777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000007000000000000000000000000000000000000000000000000000000000000000000000000000000000777777000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777799799999999999999999999999977777797777777777777777777777777777777777777977777777779999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777770000000000000000000000077000000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000077777000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777779999999999999999999999997777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777000000000000000000000770000000077777777770000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007777000000000000000000000000000000000000000077000000000000000000777770000000000000007770000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799999999999979999999997777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000777777000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000770000000000000000000000000077777700700770077700777777777000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777977999799999999999777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999997977777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700070000000000000000000000007777777777777777777700777777000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777799999999997777779777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777977777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000777777777700000777000777777000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777799999999999977777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777000000077777000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000007777777000000077000777777770000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777797799999999999777797777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777777770000000007777770777770000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999977777999999999999999997777777777777777777777777777777777777777777777777777779999999999777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000077000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777707777777700007777777700007777000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777799999999777999777777777777777777777777777777777777777777777777777777779999999997777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000700000770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777770000000770000000000000000000000000000000000000000000077777000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777799999997777777777777777777777777777777777777777777777777777777777777999999999777777777777777777777779777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000700000000000000000000000000077777000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777977777777777777777777777777777777777777777777777777777777777779999999799777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000007777770000000000000000000000000000777777000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777797999999997777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000077777700077700000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777999999999999977777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000007777077777770000000777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777799999999779777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000077700070000000777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977799999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000070000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999979777779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777777777777799999999999999999999999999999999977777777997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777799999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999977777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999777777777777777777799999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999977777777777999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999777777777777777777799999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779997799999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799997777777777777777777999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777777777777779999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797999977777777777777999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777797777777777777777777777777777777777777777777777777777777777777777777777777777779777777999999999999997799999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999977777777777999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999779999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779779999799997779999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777779999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777799999777777777777777777777777777777777777777777777777777777777777777777777777777777777777977999999977777779999799799999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777799999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777999997777777777999777799999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777799999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777779799977777777777777779999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777779999999999999999977777977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777799999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777999999999999999999999999977777777777999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777997999999999999999999999999999999999999999999999999997777777777777777777777777777777779997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799997777777777777777777777777999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777799999999999999999999999999999777979997999779777777777777777777777777777777777777777777777777777777777777777777777777777777777797777999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777777777777777777777777999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777799999999999999999999999999999999999999999999999999977997777777777777777777777777777777777777777777777777777777777777777777777777797777999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999997777777777777777777777777779999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777779999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999777777777777777777777777999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999777777777777777777777777779999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777797777779779799999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777777777777777777777777999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777779999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777799799999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999997977777777777777777777777779999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777777777799999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977797777777777777777779999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777777777777777999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997997777777777777777777777777777777777777777777777777777777777777777777777777777997997777999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999997777777777779999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997799999999997777777777777777777777777777777777777777777777777777777777777777777777777777799999999799999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999977777777799999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777799999777777777777777777777777777777777777777777777777777777777777777777777777777979799999999977999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999977777777999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777799997777777777777777777777777777777777777777777777777777777777777777777777777777997799999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999977777777999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777779999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999797999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779777999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999797997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999799777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777997999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777779997777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777779999777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777999777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777799999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777797977777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999779997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999977797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999997997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779997777777777777797999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999777777777777797999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999997777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999797799999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779777999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777977777777777777777777777799999999999999999977779777777779999999999999999999999999999999999999999999999999999999999999999999999999999977777777999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777779999777777777777777777779999999999999999999777799977799799999999999999999999999999999999999999999999999999999999999999999999999999999997777779999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777799999999977779999999999999999999999999999999999999779999779999999999999999999999999999999999999999999999999999999999999999999999999999999997777799999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777779999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777797777999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777799977799999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777779777999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999799999999997777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777779777999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777997979777999999999999999999999999999999999999999999997999779797777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777799999777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999979999999999999999999999999999999999999997977777797777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977999999999999999999999999999999999977777777999977777777777777999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777979999999999999999999999999999999999999979977777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777799999999999999999999999999999999777777999999777777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777