JMA_SEA_ICE_ANALYSIS20240212
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
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444449999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444444444444477799999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555554444444444444444444799977999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555544444444444444499999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555554444444444477999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555554444444449999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555599999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555559999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555577999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555557779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555577777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555559999999999999999997779999999999999999999999999999999999999999999999999999999555555555555555777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999997777777999999999999999999999999999999999999999999999999999999555555555555555557779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555959555555555555555599999999999955577777999999999999999999999999999999999999999999999999999999955555555555555555779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999555555555555555555555555555999999999555557799999999999999999999999999999999999999999999999999999999999995555555555555579999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555599999555555555579999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999559999999995555555555599999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555799999999999999999999999999999999999999999955559995559999955555555555555999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555555555555555555555555555555555555555555555555555555555555799999999999999999999999999999999999999999995555555555555999555555555555559999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444455555555555555555555555555555555555555555555555555555555555579999999999999999999999999999999999999999999555555555555555555555555555555559999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444455555555555555555555555555555555555555555555555555555555577777999999999999999999999999999999999999999995555555555555555555555555555555559999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444455555555555555555555555555555555555555555555555555555555777799999999999999999999999999999999999999999555555555555555555555555555555555555777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444445555555555555555555555555555555555555555555555555555555555577999999999999999999999999999999999999999955555555555555555555555555555555555557777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555595999999999999999999999999999999999999955555555555555555555555555555555555555557777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999955555555555555555555555555555555555555555557999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999555555555555555555555555555555555555555555599999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999555555555555555555555555555555555555555555559999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999995555555555555555555555555555555555555555555599999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999555555555555555555555555555555555555555555577999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555554455555555555555555555555555555555555555555555555555555555555555555599995955577999999999999999955555555555555555555555555555555555555555557779999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555599555555559999999999999995555555555555555555555555555555555555555555557777799999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999555555555555555555555555555555555555555555555577777999799999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999955555555555555555555555555555555555555555555559777999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999955555555555555555555555555555555555555555999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999555555555555555555555555555555555555555559999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555559999955555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999555555555555555555555555555555555555555555599599999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599555555555555555555555555555555555555555555579999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555799999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557799999999999999999999999999999999999999999999999999999999955559999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555579999999999999999999999999999999999999999999999994499949999944444449999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999994444449444444444444999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995995555555555555555555555555555555555555555555555555555555555555555555555555555555554555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999944444494444444444447999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555544444444555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999955555555544999444444444777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444455555555555555555555555555555555555555555555579999999999999999999999999999999999999999999999955555555554444444444477777797777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555749999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555444444444455555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999555555555555555455555477777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555554444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555544444444455555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999955555555555555555554444777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555554444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555554445555555555555555555555555555555555555577779999999999999999999999999999999999999999999999999999955555555555555555554444477777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555444444444444444499999999999999999799999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999555555555555555555554444497777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555544444444444444499999999777777777779999999999999999999999999999999999999999999999999999999779799999955559555555455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999995555555555555555555555444977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999799999995555555555554444444444444499999999944444444444479999999999999999999999999999999999999999999999999999999999999999999995544475555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999955555555555555555555555444477777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999599999999999999999999995555559999999999999999999999999999999999999999997555555555555555555544444444444444444444999444444444444444999999999999999999999999999999999999999999999999999999999999999999999477777444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999995555555555555555555554444447777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997799999999555555555555555555555599999555555555555555579999999955555555599999999999999999999999555555555999999999999555555555555555554444444444444444444444444444444444444499999999999999999999999999999999999999999999999999999999999999999999997777444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555579999999999999999999999999999999999999999999999999999999999999555555555555555555544444447777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999957777777555555555555555555555555555555555555555555555555999999999955555555555555494444999999999955555555555599999999999555555555555555555544444444444444444477774444444444444459999999999999999999999999999999999999999999999999999999999999999999999777779444444444444455555555555555555555555555555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999555555555555555555444444447777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555999999999955555555544444444444499995599995555555555599999999999555555555555555555554444444444444444447777744444444444555555999999999999999999999999999999999999999999999999999999999999999997777777777444444444444455555555555555555555555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999995555555555555555555444777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555999999999955555555555444444444444455555555555555555544499444444499555555555555555555444444444444444447777774444444455555555557779999999999999999999999999999999999999999999999999999999999997777777777777777777444445555555555555555555555555555555555555555555555555555555555555555555555579999999999999999999999999999999999999999999999999999999999999977595555555555555555555557799977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555999955555555555555544444444444455555555555555555544444444444999555554445555555555544444444477777777777777744999999555555999999999999999999999999999977777979999999999999977999999979777977777777777777777777744444555555555555555555555555555555555555555555555555555555555555555555555799999999999999999999999999999999999999999999999999999999999999999555555555555555555555559999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555955555555555555555544444444445555555555555555555555554444444944444444444555555555555554447777799777777777799999999999999999999999999999999999999999977777777779999999999777777997777777777777777777777777777774444555555555555555555555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999999999999995955555555555555555559999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444445555555555555555555555555555555544444444444445555555555555554447799997777777779999999999999999999999999999999999999999999977777777744499999799777777777777777777777777777777777777774444445554444444555555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999955599955555555555555559999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444555555555555555555555555555555555554444444444555555555555555554447999777777777779999999999999999999999999999999999999444444444477744444447777777777777777777777777777777777777777777774444444444444444455555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999999555955555555555579999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444455555555555555555555555555555555555554444444445555555555555555554447777777777777777999999999999999999994444499999999994444444444444444444477777777777777777777777777777777777777777777744444444444444444444445555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999999555555555555555599999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444555555555555555555555555555555555555555444444455555555555555555554444777777777777777799999999999999999944444444499999944444444444444444444447777777777777777777777777777777777777777777744444444444444444444444455555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999999995555555555555559999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444555555555555555555555555555555555555554444444555555555555555555544444447777777777777779999999999999999554444444444444444444444555555555544447777777777777777777777777777777777777777777744444444444444444555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999995555555555555555579999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444455555555555555555555555555555555555554444445555555555555555555544444444477774444447444555599555555555555555544444444444444455555555555555444444477777777777777777777777777777777777777444444444444444455555555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999555555555555554445779999999999999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444455555555555555555555555555555555555554444455555555555555555555554444444444444444444444555555555555555555555554444444445555555555555555555444444777777777777777777777777777777777777774444444444444445555555555555555555555555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999995555555555555544444499999999999777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444455555555555555555555555555555555555544444555555554444455555555555555555555545555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777444444444444445555555555555555555555555555555555555555555555555557999999999999999999999999999999999999999999999999999999999999955555555555555555444444999999997777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444455555555555555555555555555555555555444444555555554444444444445555555555555555555555555555555555555555555555555555555555555555555555554447777777777777777777777777777777777777777777777777444444444445555555555555555555555555555555555555555555555555599999999999999999999999999999999999999999999999999999999999999555555555555555554447749999997777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444455555555555555555555555555555555554444444555555554444444444444555555555555555555555555555555555555555555555555555555555555555555554447777777777777777777777777777777777777777777777777777777444444444555555555555555555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999995555555555555555557777799999777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444455555555555555555555555555555555555444445555555555444444444444455555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777444444444444444444555555555555555555555555555555555555799999999999999999999999999999999999999999999999999999999999999955555555555555555577799979977777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544555555555555555555555555555555555555444455555555555444444444444445555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777744444444444444444445555555555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999555555555555555555577799997777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444445555555555555555555555555555555555555555555555555555555554444477777777777777777777777777777777777777777777777777777777777777774444444444444444444555555555555555555555555555555559999999999999999999999999999999999999999999999999999999999999995555555555555555555557799777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997744444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554445555555555555555555555555555555555555555544444444444444444455555555555555555555555555555555555555555555555555555555444444777777777777777777777777777777777777777777777777777777777777777777444444444444444444445555555555555555555555555555999999999999999999999999999999999999999999999999999999999999999955555555555555555555444777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999554444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444445555555555555555555555555555555555555554444444444444555555555555555555555555555555555555555555555555555555555555444447777777777777777777777777777777777777777777777777777777777777777777744444444444444444444455555555555555555555555999999999999999999999999999999999999999999999999999999999999999999955555555555555555555544477777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444445555555555555555555555555555555555555554444444444455555555555555555555555555555555555555555555555555555555555554444477777777777777777777777777777777770007777777777777777777777777777777744444444444444444444445555555555555555555999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555544477777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555544455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444445555555555555555555555555555555555555555544444444555555555555555555555555555555555555555555555555555555555555554444777777777777777777777777777777777770077777777777777777777777777777777774444444444444444444444455555555555555799999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555544447777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444555544445555555555555555555555555555555555555555554444445555555555555555555555555555555555555555555555555555555555555554444777777777777777777777777777777777777777777777777777777777777777777777774444555555444444444444444455555557779999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555554447777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555554555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444445555555555555555555555555555555555555555555555555444445555555555555555555555555555555555555555555555555555555555555555444777777777777777777777777770777777777777777777777777777777777777777777774444555555555444444444444444444777999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555444777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444555555555555555555555555555555555555555555555555554555555555555555555555555555555555555555555555555555555555555555554447777777777777777777777777700077777777777777777777777777777777777777777777444555555555554444444444444444479999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555444777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554447777777777777777777000000000777777777777777777777777777777777777777777774444445555455544444444444444444999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555544477777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444555555555555555444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444555555555555555555555554477777777777777777700000000007777777777777777777777777777777777777777777774444444444444444444994444449999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555444777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444455555555555555444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444445555555555555555555555555555555555555555555555555555555555555555555555555555555555444555544444444555555555555555555554477777777700007777700000000777777777777777777777777777777777777777777777777444444444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555595555555555555444777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444455555555555555544444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444445555555555555555555555555555555555555555555555555555555555555555555555555555555554445555444444444445555555555555555444777777777000000777777777777777777777770777777777777777777777777777777777777744444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555599999995555555554444777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444445555555555555554444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444455555555555555555555555555555555555555555555555555555555555555555555555555555555444555554444444444444444444455555554444777777777770007777777777777777777000000000700777777777777777777777777777777444494444447447799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555799999999955454444447777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444555555555555555444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444445555555555555555555555555555555555555555555555555555555555555555555555555555554444555444444444444444444444444455544447777777777777770770000777777777777700000000000077777777777777777777777777777499999455777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995557799999999999999444477777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995554444444444444455555555555555444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554445555555555555555555555555555555555555555555555555555555555555555555555444444444444554444444444444444444444444444444477777777770077700000000007777777777777777000000000777777777777777777744447774999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944477777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555544444444444445555555555544444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554445555555555555555555555555555555555554444444444455554444444444444444444444444444447777777777770077777000000007777777777777777700000007777777777777777774444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555544444444445555555554444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444555555555555555555555555555555555554444444444455544444444444444444444444444447777777777777770077777777000007777777777777777777007777777777777777777744444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555444555555555555444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444455555555555555444455555555555555555444444445555544444444444444444444444447777777777777000000007777000770007777777777777770777007777777777777777777444444444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555544555555555555555555444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444455555444444444444444444445555555555554444455555444444444444444444477777777777777777700000777700000000777777777777777777777777777777777777777777777444444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555544444455555555555555555444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444445555554444444444444444444444555555555555555555554444444444444477777777777777777777700000007777777707000077777777777777777777777777777777777777777774444444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977555555555555544444455555555555555555444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544555555554444444444444444444444444455555555555555554444444444444477777777777777777777777700000777777777777777777777777777777777777000077777777777777777744444444444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777555555555555444444455555555555555554444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444555555555555544444444477777777777777777777777777770000000777777777777777777777777777777777777000000777777777777774444444444444444444799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777555555555554444444455555555555555554444444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444445555555554444444444777777777777777777777777770000000000077777777777777777777777777777777777700000007777777777744444444444444444447999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555544444444555555555555555555444444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444444444455455544444444444777777777777777777777770000000007000777777777777777777777777777777777777700000000777777777444444444444444444479999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997775555555555555555444444555555555555555555555444444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444444444444444444444444444777777777777777777777700000000000000077777777777777777777777777777777777700000000777777777444444444444444444779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777755555555555555555555555555555555555555555555544444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444444444444444444444444447777777777777777700777770000000000700000777777770007777777777777777777777700000007777777774444444444444444447799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977755555555555555555555555555555555555555555555555544444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444444444444444444444444777777777777777000077777777777777700000077777700000777777777777777777777700000777777777744444444444444444447999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444444444444444444444444447777777777777000777777777777777777777777777700000777777777777777777777700007777777777444444444444444499499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555544444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444444444444444444444444447777777777770007777777777777777777777777777770000000777777700007777777700777777777774444444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444444444444444444447777777777777777077777777777770077777777777777000007777777770000777777777777777777744444444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994447777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999577555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444444444444444447777777700777770000777700000000077770777777777700000000077777000077777777777777777444444444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444477777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444544444444444444444444444444444444777777777777777777700007700000000077700007777777777770000077777700077777777777777777444444444447774999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444454444444444477777777777777777777777000077700000007700007777777770777000077777700007777777777777774444444444477799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444555444444447777777007777777777777077700007000000077000077777777700077770077777770000777777777777774444444444799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444447777777777007777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444477777700000077777777777707777777700000077700077777700777777777777777777777777777777777774444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444477777777770000000777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444777777777777777777777777777777777777000077000777777700777777777777777777777777777777777774444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000000000007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444777777777777777777777770077770007777700077000777777000777777777777777777777777777777774444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000000000000000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444477777777777777777777777077700077777070000000777777777777777777777777777777777777774444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777700000000000000000000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777777777777777077700077700077700000777777777777777777777777777777777777744444444444444499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777700000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444777777777777777777777777700077000777770007777777777777777777777777777777777774444444444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444777777777777777777777700000007000777770007777777777777777777777777777777777744444455555444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444777777700077777777777777777007777777777777777777777777777777777777777777774444445555555444447999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444555555554444477777777770000000007777777777777777777777777777777777777777777777777777777744445555555555544479999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777770000000000000000000000777707
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444777777777777770000000777777777777777777777777777777777777777777777777777777444455555555555577779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777700000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444777777777777777700000077777777770777777777777777777777777777777777777777777744444555555555577799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977700000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444477777777777777777777777077777777770000777777777777777777777777777777777777777744444445555555577799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977799999999999999977770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444444444477777777777777777777777777777777770000777777777777777777777777777777777777777774444444555555555999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777779999999999997777770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444477777777777777777777777777777777770000777777777777777777777777777777777777777774444444455555557999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777999999999777777000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444447777777777777777777777777777777777770000077777777777777777777777777777777777777774444444555555559999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777799999997777770000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444444444777777777777777777777777770000007777777700007777777777777777777777777777777777777744444445555555559999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777700070009999977777000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444447777777777777770000077777770000000777777770007777777777777777777777777777777777777444444455555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777000000000077777777000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444777777777777000000000000777777000000000777770077777777777777777777777777777777777774444444455555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777000000000007777777000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544445555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444447777777777770000000000000077770000000000077770000777777777777777777777777777777777774444444455555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777000000000007777777700000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444445555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444477777777777700000000000000007770000000000777770000077777777777777777777777777777777744444444455555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777000000000007777777700000000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444555555554455555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444777777777777000000000000000000777000000000777770000077777777777777777777777777777777744444444455555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000777777000000000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444445544444444555555555555555555555555555555555555555555555555555555555555555555554444444444444444447777777777777777777000000077700000077777700007777700077777777777777777777777777777777777744444444445555555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777700000000000000000077000007700000000000000000000007777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444477777777777774444444444444455555555555555555555555555555555555555555555555555555555555555544555544444444444447777777777777777777777700007777777700007777777077777777777777777777777777777777777777777777774444444444444555599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777000000000000000000000000777700000000070000000000777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444777777777777777777444444444444555555555555555555555555555555555555555555555555555555555555444455554444444444777777777777777007777777777777777777777000777777777777777777777777777777777777777777777777777777744444444444455599999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777700000000000000000000000007777770000000000000770007777770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444777777777777777777777777744444455555555555555555555555555555555555555555555555555555555554444455555444444447777777777777777777770007777777777777777777777777777700777777777777777777777777777777777777777777744444444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777700000000000000000000000777777770000000000077777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444777777777777777777777777777744444555555555555555555555555555555555555555555555555555555554444455555444444777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777744444444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000000007777777770000000000077777777777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444477777777777777777777777777774444455555555555555555555555555555555555555555555555555555444444445555544444777777777777777777770000000000077777777777777777777777707777777777777777777777777777777777777777777774444444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777700000000000000000000777777770000000000000077777700000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444777777777774444447777777777444445555555555555555555555555555555555555555555555555544444444445555444444777777777777777777777000007700007777777777777777777777777777777007700007777777777777777777777777777744444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000070000000000000000077777700000000000000777770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444447777777444444444477777774444445555555555555555555555555555555555555555555555555444444444445555444444777777777777777777777777000777000000007777777777777777777777770000070077777777777777777777777777777744444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000077700000000000000777777777000000000007777770000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444445555555544444447444444445555555555555555555555555555555555555555555555554444444444444454444447777777777777700777777777700000000000000007777777777777777777777077777777777777777777777777777777777774444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777000000077700000000000000777777770000000000000070000000000770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444445555555555555555444444444444555555555555555555555555555555555555555555555555554444444444444444444447777777777777700777777777777700000000000007777777777777777007777777777777777000777777777777777777777777444444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000770000000000000000077777770000000000000000000007000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444555555555555555555555555555555555555555555555555555554444444444444444444477777777777777777777777777777777770000000007777777777777777777777777777777777000007777777777777777777777744444444449999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777700000000000000000000000077777700000000000000000007777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555559999775555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444477777777777777777777777777777777777000000000777777777777777777777770000007777000007777777777777777777777777444444444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777700007707770000000000000777777000000000000000000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555599955555599999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444777777777777777777777777777777777777000777007777777777777777777777770000777777700000777777777777777777777777777774444999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777770007777777700000000007777770000000077770000000777777777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555599999555555599999999999995555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444447777777777777777777777777777777777777000777777777777777777777777777777777777777770000077777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977770007777777000000000000777777000077777770000077777777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555559999995555555999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444477777777777777777777777777777777777770000777777777777777777777777777777777777770077000077777077777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777007777770000000000007777777777777777777777777777777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555559955999999995555559999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777777777777777707777777700777777777777777777777777777777777777770000000000000007777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777770000000000007777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555995559955555599999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777700777000077000777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777700000000000077777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777000777000000077777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777077000000000000077777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555955559999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777770077777777777777777777777777777777777777777777777707777000007777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000007777777777777777777777777777777700000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555559555555999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777700007777777777777777777777777777777777777777777777700077777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997700000000000000777777777777777777777777777777770000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555599999555555955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555077777777777777777777777777777770000777777777777777777777777777777777777777777777707777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997700000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555995555559555555555555555555599555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555550000777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777700077777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555559595555599999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555575555544555570000007777777777777777777777777777777777777770007777777777777777777777777777777777777777777777777777777770077777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777770000000007777777777777777777777007777777777700000077777777777777707777777777777777777777777777777777777777770077777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977799999999999999770000000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777000000000000777777777777700007777777777777777700000007777777700070007777777777777777777777777777777777777777770000777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777770009999999999970000000000000000000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555955559955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777770000000070000077777777777000000077777777777777000000777777777770000007777777777777777777777777777777777777777700000777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777000000077777777777700000000000000000000000777777777777777777777777777777777777777707
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559955595555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777000000077777777777777777777777777777777777777000000777777777770000007777777777777777777777777777777777777777700077777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777770000000777777777777000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777007777777777777777777777777700007777777777700000077777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777770000077777777777700000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559995999555555555555555555595555555555555555555555555555555555555555555555555555555555555555555555555555959995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777777777777777777777777777770000000777777777777777777777777777777777777700077777777777777777777777777077777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777770000077777777770000000000000000000000000077777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999995555555555555555555559995555555555555559995555555555555555555555555555555555555555555555555599999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554777777777777777777777777777777770077000077777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777770000007777777770000000000000000000000000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999955555555555555555555559999999955555599999999555555555555555555555555555555555555555555555555555999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777777777777777777777777777777777700777777777000777777777000000077777777770077777777777777777777777777777777777770777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777770000000777777770000000000000000000000007777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555999999995555555555555555555555559999999999999999999999995555555555555555555555555555555555555555555555555599999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554777777777777777777777777777777777777700000707777777777777000070777777777777700007777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777700770000000000777770000000770000000000000077777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555599999999999999999999999999955555555555555555555555555555555555555555555555559999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777770000000777777777007777777777777777777777777777777777700777777777777777777777777700077777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999997770777777700770000000000777770000000000000000000000777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555999999999999999999999999999999955555555555555555555555555555555555555555555555999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777007777777777777777777777777777777777777777770007777777777777777777777777777777770000777777777777777777777777000077777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999977700777777707770000000007777770000000000000000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999995555555555555555555555555999999999999999999999999999995555555555555555555555555555555555555555555555599999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777770777777777777777777777777777777777777777777007777777777777777777777777777770070077777777777777777777777770077777770077777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999900000777777777770000000077777777000000000770000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999995555555555555995559999999999999999999999999999999955555555555555555555555555555555555555555555559999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777000077777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777000777777770777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999000000777777777777777000077777777700000000777000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999955555555555599995599999999999999999999999999999999955555555555555555555555555555555555555555555555999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777770777777777777777777777777777777777777777777777777777777777777777777000007777777777777777777777777777777777777770077777777555599999999999999999999999999999999999999999999999999999999999999999999999999999997000077777777777777777000077777777700000000777700077777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555559555599999999995555555555555999995599999999999999999999999999999999555555555555555555555555555555555555555555555555999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777744455599999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777770000077777777700000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955999999999999999955555555555555999995599999999999999999999999999999999955555555555555555555555555555555555555555555559999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744455599999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777700000777777777770000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555999955599999999999999999999999999999999999555555555555555555555555555555555555555555559999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077777777777444555559999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777000077777777777777000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555599999555999999999999999999999999999999999999995555555555555555555555555555555555555555599999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077007777777444555559999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777770000077777777777777000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999955555999999999999999999999999999999999999999555555555555555555555555555555555555559999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077777744555559999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777770000077777777777777700007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559999999555559999999999999999999999999999999999999999955555555555555555555555555555555555599999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777554477777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777774445559999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777700777777777777777000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999995555599999999999999999999999999999999999999999999955555555555555555555555555555599959999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774445555999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555999955555599999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777445555999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777770707
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555999999555555999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000077777445555999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959595555555595999999999555559999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777444555999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777077777777777777777777777777777777777777777000000070
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599955555559999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777770000000077777444555999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000070707777777744455599999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777770777777777777777777777777777777777777777770000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000077777774444499999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000007777774444499999999999999999999999999999999999999999999999999999999999999999999000079999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007000000000007777774444499999999999999999999999999999999999999999999999999999999999999999000000077779999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959999999999955555555599999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000007770000000007777774444499999999999999999999999999999999999999999999999999999999999990000000000077777799777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599999999555555555559999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007770000007077000000000777774444499999999999999999999999999999999999999999999999999999999999700000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955999955555555555555999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007770000007770000007700077774444449999999999999999999999999999999999999999999999977779999900000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555559999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000777777770000007770777774444559999999999999999999999999999999999999999999999977779999000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555559999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000777777770007007777777774444559999999999999999999999999999999999999999999999779979900000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777700007777777777700000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000007777777770007777777777774444559999999999999999999999999999999999999999999999999907000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777700000077700000000770000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000077777777777777777777777774444457999999999999999999999999999999999999999999999999900000000000000000000000077777777777777777777777777777777777777777777777777777777777777777770000000000700000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999944555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007770000700077777777777777777777777774444447999999999999999999999999999999999999999999999977000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077700007777077707777777770007700777777444444499999999999999999999999999999999999999999999999700000000000000000000000077777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007777777777777777770077700777777744444499999999999999999999999999999999999999999999999000000000000000000000000077777777777777777777777777777777777777777777777777777777770077770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777777000077777777777777777777777000077777744444449999999999999999999999999999999999999999999990000000000000000000000000077777777777777777777777777777777777777777777777777777777770007770000000000000000000000000000000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554447777777777777777777777777777777777777777777777777777777777777777777777777777777070777777700077770777777777777777777777777700007777774444449999999999999999999999999999999999999999999999000000000000000000000000077777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554477777777077777777777777777777777777777777777777777777777777777777777777777777777770777777770777777077777777777777777777777770007777777444447999999999999999999999999999999999999999999990000000000000000000000000777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554447777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777770077777777774477999999999999999999999999999999999999999999997000000000000000000000000077777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544777777000007777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777770077777700000007777777777777777777799999999999999999999999999999999999999999997700000000000000000000000077777777007777777777777777777777777777777777777777777777777777700000777000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554477777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777700000000000077700777777777777777777799999999999999999999999999999999999999999999000000000000000000000000077777770000777777777777777777777777777777777777777777777777777770007770000000000000000000000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444447777777777777777777777777777777777777777777777777777777777777777777777777770070777777777777000000000000000000070000077777777777777777779999999999999999999999999999999999999999999000000000000000000000000077777770000077777777777777777777777777777777777777777777777777700000000007770000000000000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777770077777777777777777777777777777777777777777777777777777777777000000077777777007700077000000777770000000007777777777777777779999999999999999999999999999999999999999990000000000000000000000000077777700000077777777777777777777777777777777777777777777777777700777000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955599999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544477777777777777777777777777777777777777777777777777777777777777777777007000000007777777777700077777777777777000000007777777777777777779999999999999999999999999999999999999999700000000000000000077700000077777000000007777777777777777777777777777777777777777777777777000770000000007777777777770777777777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554447777777777777777777777777777777777777777777777777777777777000077770007770000007777777777770077777700007777777000777777777777777777777999999999999999999999999999999999999999000000000000770007777777070007777000000007777777777777777777777777777777777777777777777770077700000000000000000000000007777777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444400777777777777777777777777777777777777777777777777777000070007000077770000007770707777700007777000000007777777777777777777777777777999999999999999999999999999999999999970000000000000077777777777777000777700000007777777777777777777777777777777777777777777777700777777777777770000000000000000000777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544440077777777007777777777777777777777777777777777777700000777777777777700000000000000777777777770000000000077777777777777777777777777999999999999999999999999999999999999900000000000000777777777777777700777770000007777777777777777777777777777777777777777777777777777770000000000000000000000007777777770077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544440777777777700007777777777777777777777777777777777700000777777777777700000000007777777777777770077700000000077777777777777777777777999999999999999999999999999999999999900000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544440777777777777707777777777777777777777777777777770000000077000077777777777007777777777777777770077777770000007777777777777777777777999999999999999999999999999999999999000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000777777000077700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447000077777777777777777777777777777777777777777700000000077000077777777777777777777777770777000077777700000000000007777777777777777999999999999999999999999999999999999000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000077777770000007707
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544440000777777777777777777777777777777777777777777000000007777000077777777777777777777777777777777777700000077777777000007777777777777999999999999999999999999999999999900000000000000000000077707777777777700000000777777777777777777777777777777777777777777777777777000000000000077777777777777777770000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444000777770077777777777777777777777777777777770000000077777700077700777777777777777777777700077770000000000000777700000777777777777999999999999999999999999999999999000000000000000000000000000000007000000000000007777777777777777777777777777777777777777777777777770000000000000077777777777777707777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554000077770777777777777777777777777777777777000000000007777770000000077777777777707000077700000000000000000000007770000777777777700999999999999999999999999999999900000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777000000000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555559999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544400077777777777777777777777777777777777770000007700000777770000000777777770000000000007770000000000007000000000077700007777777000999999999999999999999999999999900000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777700000000077777777777770777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444000000777777777777777777777777777777777700000077700007777777000077777070000000077700000000000777770007000000770007770000077777000999999999999999999999999999999000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777770000000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999445555555555555555559999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554440000000007777777777777777777777777777777000000007700077777777777777777077000000777770000000007777777777700077777777770000007777777999999999999999999999999999900000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777700000077700777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444555555555555555555999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444000000000077777777777777777777777777777000000007700007777777777777077777000000000070000000007000000777700777777777000000000007777999999999999999999999999909000000000000000000000000000000000000000077777777000000077777777777777777777777777777777777777777777777777777000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555555555555555559999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444000000000007777777777777777777777777770000007777777000077777777770007770000000000000777777000000000000000000000770007770000007777999999999999999999999900000000000000000000000000000000000000000000077777777777700000777000777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995444455555555555555555559999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555445555544400000007777777777777777777777777777700000000777777700077000777700000777000777777000777770000000000000000000000000000770000000777999999999999999999999000000000000000000000000000000000000000000000007777777777777770770000077777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544445555544400000007777777777777777777777777700000000000000077777777000000000000077777777770007777770777000000000000000000007000000000000007799999999999999999999000000000000000000000000000000000000000000000007077777777777777000000077777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555599999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444445544444400000077777777777777777777777777777000000000000077777777770000000000077700777000077700077000000000007770000000777770007770000000099999999999999999990000000000000000000000000000000000000000000000000000777777777777700000007777777777777777777777777007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555599999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444400000000077777777777777777777777777000000000007777777777777777777700077007777000777000077000700000007770000007700077007777000000799999999999999990000000000000000000000000000000000000000000000000000000777777777777700000000077777777777777777777777700007777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555559999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444400000000000000007777777777777777700000000000077777777777777777777777777000770007770000077777777777777770000077000077007700077007777999999999999990000000000000000000000000000000000000000000000000000000777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555559999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444000000000000000000077777777777077700000000000077777777777777777777777777777700077700070007777007777777000000000700077007700077777777779999999999000000000000000000000000000000000000000000000000000000077777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444000000000000000000000000777777777700000000000000777777777777777777777777777700777000077000000000077777700007700000007777777777700777079999999900000000000000000000000000000000000000000000000000000007777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555445555555555544444444477700000000000000000000000777777700000000000000000000007777770777777777777700077000770000777000000000000777777000700000000000070770007770099999999000000000000000000000000000000000000000000000000000000007777777777777777777777777000000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444555544444440777000000000000000000000000007770000000000000000000000000777000777777770077777777777000007777777777000000000777770000000000000000077777777007999997000000000000000000000000000000000000000000000000000000777777777777777777777777777700000000777770000077777777777777777777777777777777777777777777777777777777007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444443330000007700000007700000000000007700000000000000777000000000777000077777700077777777077777777777777777777000000007777770007777700000077770007700997777000000000000000000000000000000000000000000000000000007777777777777777777777777777777000000000000000000777777777777777777777777777777777777777777777777777777077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555559999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444443333333000777777000777770000000000000000000000000007777770007000000000000000707777777700007777777007777777777700000000000000007777770000077777777709977777000000000000000000000000000000000000000000000000000077777777777777777777777777777777770000000000000000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444404433333337777777777007777777770700000000000000000000077777777777700000000000000777777777000077777777777777007000700000000000099997000000000777777777799770000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777000000000000000777000000777777777777777777000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444400000333777777777770077777777777700000000000000000000777777777777000007770000077777770000777777777777777777700000770000000777799990000000000000099777077700000000000000000000000000000000000000000000000000000777777000777777777777777777777777777777777770000000000000777000000000000007777777770777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444400000077777777777777777777777777770000000000000000777777777777000077777777777770077777777000700077777777700000000000000077777977000007777779999700007770000700000000000000000000000000000000000000000000000777777777777777777777777777777777777777777770000000000007777700007007707777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444400000000077700007777777777777777700000000000000000000777777077000077777777777770077700770077700007000000000000000000000000000000000009997999999900007770777770000000000000000000000000000000000007770000000777777777777777777777777777777777777077777777000000000007777777777777700777000000000000000000000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555500000700000077770007777777777777777000000000000000000000777777007077777777707777000077000000000000000000000000000000000000000000000000799997999999000000000777700000000000000000000000000000000000777777000007777777777777777777777777777777777770007777777777707000077777777700000000000000000000000000000007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555400000000000000077777777777777700000000000000000000000000777000000077777777700000000077700000000000007770000000000000000000000077777709999997999999000000000000777000000000000000000000000000000000777000000077777000777777777777777777777777777777000000777777777700777770000000700000777777777700000000000007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555559999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555440000000000000077777777777777770000000000000000000000007770000000777777000770007000000000000000000007770000000000000000000000007777779999999009000000000000000077777777700000770000000000000000000000077700000000000077777777777777777777777777777777770000007777000777777777777777777777777777777770070077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999755555555555555555555555555555559999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555400000000000000077777707777777770000000000000000000000777777070777777000777700077700000000000000000000000000000000000000000000000000779999999000000000000000000077770007770000077000000000000000000007777700000007700077777770007777777777777777777777777700000007000000777777777777777777777777777777770077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554000000000077700007777700777777700000000077777770000077777777777777770000700000000000000077777770777700000000000000000000000000000000099999999000000000000000000000000077770000000000000000000077770077777777000077777777777000077777777777777777777777777777777777770000000777777777777777777777707777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544000000000007700000077777777777700000000000777777777777777777700777000700000000000007777777777770700000000000000000000000000000000000999999900000000000000000000000007777770000007777777000000777770077777777700000007777000000077700777777777777777777777777777777770000000777777777777777777000000007777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555599999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544000000000007700000007777700000000000070000000777777777000777707700007000000777700777777777770000000000000000000000000000000000777779999999000000000000000000000000000777770000000707770000077777777777777770000000000777000000000007777777777777777777777777077000000000000000777777777777777700000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555550000000000007700000000007000000000000077000007777777000077777777000000000000700000000077777777777000000000000000000000000000007999999999990000000000000000000000000000007770000077777700077777777777777777777077000077777700000000777000777777777777770000000000000000000000000777777777777777770777777777000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555555555555555555555599999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555550000000000007700000000000000000000000077777777777777000777777770000000770007000770000777777777777000000000000000000000000009979999999999900000000000000000000000000000000777700777777777777700077777777777777777777777777000000000000000777777777000000000000000000000000000777777777777777777700077707777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555550000000000007770000000000000000000000077777777770007700000000000000007777777007700777770777777770000000000000000000000000009999999999999900000000000000000000000000000000077777000000000770000077777777777777777777777777000000000000007777777770000000000000000000000000000070000000000000000000070007777777700000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555555555555555555555599999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554400000000000007777000000000000000000000777777770000000007000000000077777777777777770000000007777777000000000000000000000900007999999999990000000000000000000000000007777777000000000000000070000077777777777777000077777770000000000000000007777770000000000000000000000000000000000000000000000007777007700000000000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555559999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444400000000007777777000000000000000077000777777700000000077000000777777777770077777700000077777777777000000000000000000000000007999999900000000000000000000000000000007777777000000077000000770000077777700777770000007777770000000000000000007777770000000000000000000000000000000000000000000770000700007700000000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555559999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444400000000007700777000000000000000777000077777000000077777000007777007770077777770000077777777777777700000000000000000000000009999900000000000000000000000000000000000777777000000077770000770000077700007700777000000077000000000000000000777777700000000000000000000000000000000000000000777770000000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555559999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554555444444000000000000000777770000000000700777000007700000000777777077777700077770770000000000077777777777777777000000000000000000000009999900000000000000000000000000000000000077777000007777777007770077777000777700770000000000000000000000007777777770000000777700000000000000000000000000000077777777700000000777777777770000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997755555555555555555555555555555599999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555445555444000000000000000000777770000000777777770000007700000000077777777770000000700000000000000077777777777777777000000000000000000000000000000000000000000000000000000000000000077777000777777770007777777000007777007700000000770000000000000077777770000000007777700000000000000070000000077777077777777770007777777000000000000000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555599999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444555444000000000000000000007777700000000000000000000770000000077777777700000000000000077777777777777777777777770000000000000000000000000000000000000000000000000000000000000000077707000777777770007777700000007000777000000007700000000000000007700000000000000007000000000000007770000007777777777777777777777777777000000077700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999755555555555555555555555555555555599999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444000000000000007000000777777777000000000077777770077777777777770000000000000000777077777777777777777777000000000000000077000000000000000000000000000000000000000000000000000000000077777700007777700000000000770000007777700000000000000000000000000000000000000000000007777770000077777777777777700077777777777077777770000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555599999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555554555544444400000000000000007000000077777777000000077777777777777777777777000000000000000000000077777007777707777770000000000000000077000000000000000000000000000000000000000000000000000000000000777000007777700000000000000000777777777000000000000000000000000077700000000000777777777770000007777777777770000077007770077777777777770000770007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555599999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555544455444444400000000000000000000000077777000000777777777777777777777777000007700000000077770007777700000007777777777000000000997700000000000000000000000000000000000000000000000000000000000000077777770777777000000000000000077777777777000000000000000000000000777777000007777777777777777000077777700770000007777077770007777777777777777700077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555544444444444000000000000000000000000000000000000007777777777777777777777700000077000000777777777777777700000000777777770000000000990000000000000000000000000000000000000000000000000000000000000000077777777770777000000007700007777777777770000000000000000000000007777777700007777777777777777777777700007770000707777777770007770077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555444444444400000000000000000000000000007770000000077777777777777777777770000000770000077777777777777777000000000077777770000000000990000000000000000000000000000000000000000000000000000000000000000077777777707777000070000000077777777777777000000000000000000000077777777777000777777777777777777777000077770000000000777700000000000077700777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555444444444400000000000000000000000000077770000000077777777777777777777000000000700007777777777777777770000000077777777770000000000000000000000000000000000000000000000000000000000000000000000000000007777777777770000770000000777700077777777000000000000000007777777777777777707770000777777777770000007777700000000000777777000000000077700077777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555444444444400000000000000000000000000770000000007007777777777777777700000000077777777777777777777777777777777777777777777700000000000000009977000000000000000000000000000000000000000000000000000000007777777777700000000000007700000077777000000000000007000007777777777777777777700000007777777770000007777700000000000777777700000000777700777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555599999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555444444444444400000000000000000000000000000000000077000777777777777770000000007777777777777777777777777777777777777777777777700000000000000099990000000000000000000000000000000000000000000000000000000000777777777700000000000077000000000000000000000000777000007777000077700007777000000000077077700000000000000077770000000077000000000000000000777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555554499999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555544444444444000000000000000000000000000000000000000077777777777777777700000000777777700000777777777777777777777777777777777777770000000000000099900000000000000000000000000000000000000000000000000000000000000777777000000000007777000000000000000000000007777000000777000000000007777000000000000077770000000000000000000000000007000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555554499999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555544444444440000000000000000000000000000000000000000007777777777777770000000077777700000000000007777777777777777777777777777777777000000000007999000000000000000000000000000000000000000000000000000000000000000777077777700000000777000770000000000000000007777700000077707000000007777700000000000077777000077000000000000000700000000000000000000000007707
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555554444444999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555444444444400000000000000000000000000000000000077000000000777777777000000000777777000007000000007777777770007777777777777777777700000000000009999700000000000000000000000000000000000000000000000000000000000007700077770000770000777000770000000000000770000077700000000007700000000777770000000000007777777777700000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555544444433999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555444444444000000000000000000000000000000000000077000000000777777770000000777777770000777000000007000000000700077777777777777777700000000000009999700000000000000000000000000000000000000000000000000000000000007000077770007770007777700000000000000007777000077700000000007700000000777777000000000000777000777000000000077770000070000077007000007777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997555555555555555555555555555444422999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555444444400000000000000000000000000000000000000770000070000777777000077777777777000007770000000007700007770000007777777777777777777700000000009999700000000000000000000000000000000000000000000000000000000000000000007000777770007777777007777000000077770000077700077777700000000000077770000000000000000000777000000007777700007777000077777000007770000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997555555555555555555555555555555222999999999999999999999999555555555555599999999555555555555555555555555555555555555555555555555555555555555555554444444000000000000000000000000000000000000000000000077777777700077777777777777000777777000007777777777777000007777777777777777777700000000009990000000000000000000000000000000000000000000000000000000000000000000000000777000000770007777777700000777000077777000077770000777700000077700000000000000000007770000007777777777777777000007700000000700000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555544555555555555544422999999999999999999999555555555555555555559999555555555555555555555555555555555555555555555555555555555555555544444442000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777700777777777777777777770000000070000000000000000000000000000000000000000000000000000000000000000000000000000007770000000000000700077700077777000777770000000000000770000000007000000000000000000077700007777777777777700000000777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999974455555555554444555555555555544439999999999999999999995555555555555555555555599555555555555555555555555555555555555555555555555555555555555555444444447000000000000000000000000000000000000000077077777777777777777777777777777777777777777777777777777777777777777777777777777700000070099907000007700000000000000000000000000000000000000000000000000000000000077000077700000000000007700000000077777000777700000000000000000000000000000000007777777770000000777777777777777700000000077777700000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999974445555555544455445554444444444779999999999999999999555555555555555555555555599955555555555555555555555555555555555555555555555555555555555555444400000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777770000770009977777777777000000000000000000000000000000000000000000000000000000000070000777000000000000007700007700000000000077000000000000000007777777777770000007777777777700077770777777777777777777700777777770000777007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999954445555554444444444444444444444799999999999999999999555555555555555555555555555995555555555555555555555555555555555555555555555555555555555554440000000000000000000000000000000000000000000770777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777077977777777777700000000000000000000000000000000000000000000000000000000000000000000000000000007770007770000000000007700000000000000077777777777777007777777777777777777770007777700007777777700077770070000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999954445555554444444444444444444427799999999999999999999555555555555555555555555555599555555555555555555555555555555555555555555555555555555555554400000000000000000000000000000000000000000007777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000007770000000000000000000000770000770000000000000000777000000007777777000777777777777777777770007777770007777700007777777000000000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994455555554444444444444444444777799999999999999999999555555555555555555555555555559995555555555555555555555555555555555555555555555555555555554442220000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777770000777779977777777777777777777777770000000000000000000000000000000000000000000000000700000070000000000077770000007770000000000000000007777770000000777770770000007777777777777777777777777770007777700000007777000000000000000000007770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555554444444444444444437777799999999999999999999555555555555555555555555555555799555555555555555555555555555555555555555555555555555555544444200000000000000000000000000000000000007770000777777777777777777777777777777777777777777777777777777777777777777777770077777777997797777777777777000000000000000000000000000000000000000000000000000000000000000070000000000077770077777770770070000000000007777770000007777770000000000077777777777777777777770000000000000700000000000000000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944445555554444444444444447777777999999999999999999999555555555555555555555555555555559955555555555555555555555555555555555555555555555555555544444000000000000000000000000000000000000077770000077777777777777777777777777777777777777777777777777777777777777777777000007777777007999007777777770000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700777000000000000077777700000000777777700000000007777777777777777777770000000000007700000000000077000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444555555555444444444447777777779999999999999999999995555555555555555555555555555555557955555555555555555555555555555555555555555555555555555544444400000000000000000000000000000000000777700000777777777777777777777777777777777777777777777777777777777777777777777700000777770077997007777777700000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000000000000000077707770000000000007777700000000000777777777770007777777700000000077770077700000077777777700000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994455555555555444444444400077777799999999999999999999955555555555555555555555555555555555795555555555555555555555555555555555555555555555555555544444420000000000000000000000000000000000777770000777777777777777777777777777777777070007777777777777777777777777777777777777777777799700000000777700000000000000000000000000000000000000000000000000000000000000007700000777000000007000777000000000000000777770000000000000000077000000700000007777000770007777777777777000000777077000077777777770000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555444444444444444400000000779999999999999999999555555555555555555555555555555555555595555555555555555555555555555555555555555555555555555444444220000000000000000000000000000000007777777707777777777777777777777777777700000000000077777777777777777777777777777777777777777777700000000770000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000077770077777770000000000777700000000077777770077770000777777777777777777700007777000000077777777700000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944445544444444444444433000000000079999999999999999999555555555555555555555555555555555555599555555555555555555555555555555555555555555555555555444444220000000000000000000000000000000007777777777777777777777777777777777777700000000000007777777777777777777777777777777777777777777700000000070707000000000000000000000000000000000000000000000000000000000000000000000000077700777700000007000077777777777770000000007777700000007777777770007700000777777777777777777000077700000000007777777000777000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444444330000000000000999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444222000000000000000000000000000000007777777777777777777777777777777777777700000000000000777777777777777777777777777777777777777777777000000777777770000000000000000000000000000000000000000000000000000000000000000000000777777777770077700000007777777700000000000000777000000777777777777000000007777777000000007777700777000000000077777777007777000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444443000000000000000099999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444222000000000000000000000000000000777777777777777777777777777777777777770000000000000000777777777777777777777777777777777777777777777777000777700770000000000000000000000000000000000000000000000000000000000000000000000777777007777770000000000000777000000000000000000000777777777777777777700000777777000000077777770770000000007777777007777770000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444554444444400000000000000000099999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444222000000000000000000000000000000777777777777777777777777777777777777000000000000000007777777777777777777777777777777777777777777777777770077770000000000000000000000000000000000000000000000000000000000000000000000007777700000077700000000077000000000000000000000000007777777777777777777777700077777700000077777777700000077000770000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444445555544444000000000000000000079999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554554444222000000000000077000000000000000077007777777777777777777777777777777000000000000000000007777777777777077777777777777777777777777777777700777777000000000000000000000000000000000000000000000000000000000000000000000007000000000007777700000777770000000000000000000000007777777777777777777777700007777000000777777777700000000000000777770000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444455555544444000000000000000000000007999999999999555555555555555555555555555555555555555555555555555555555555555555555554445555555555555444444444442222200000000000000000000000000000077777777777777777777777777777777770000000000000000077700077777777777000077777777777777777777077777700000000770000000000000000000000000000000000000000000000000000000000000000000000000000000000007777770000007000000700000000000000777777777700000777777777777700007770000777777777777000000000000000000707770007777777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444555555444440000000000000000000000007799999999999555555555555555555555555555555555555555555555555555555555555555555554444444445555555554444444444432222200000000000000000000000000000077777777777777777777777777777770000000000000000000077770777777777777000007777777777777777700007777770000000000000000000000000000000000000000000007700000000000000000000000000000000000000000000007777000000000000000000000000000000777777777700000777777777777707777700007777777777700000000000000000000000000007770000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999544444454444444300000000000000000000000000799999999995555555555555555555555555555555555555555555555555555555555555555555544444444444555555555555444444222222200000000000000000000000000000777777777770077777777777777777770000000000000000000777777777777777777000777777797777777777000000777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000777777777000077777777777777777770000007777777700007700000000000000000000000000770000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999934444444444444443000000000000000000000000000799999999995555555555555555555555555555555555555555555555555555555555555555555444444444444444444455555444444222220000000770077000000000000000000777777770000077777777777777777770000000000000000777777777777770777777777777777777770000777770077777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000000700000000000007770000077777770077777777777777777777000000007777770000007700000000000000000000000000070000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999744444455444445500000000000000000000000000000039999999995555555555555555555555555555555555555555555555555555555555555555554440007744444444444444444444443222222200000000077777000000000770000077777700000077777777777777777770000000000770777777777777777000777777777777777777777700777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000007700000000000007777000077777700777777777777777777777000000077777700000000000000000007700000000000007700000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975444445555444455000000000000000000000000000000339999999955555555555555555555555555555555555555555555555555555555555555555554470000074000444444444444444442277777777777777777700000000007777000077777700000777777777777777770000770000007777777777777777777777777777777777777777777777777777777777700770000000000000000000000000000000000000000000000000000007770777770000000000000000000000700000000000000077000000000000007777777777777000777777770000000077770000007777777000000000000000000077700000000000777777770007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999755444444552223500000000000000000000000000007774449999999955555555555555555555555555555555555555555555555555555555555555555555500000000000777444444444444427777707777777777777777700000077770007777777000007777777777777777700007777777777777777777777777707707007777700777777977777777777777777777777777770000000000000000000000000000000000000000000000000777777770000000000000000000000000700000000000000770000000000000007777777777770007777777000000000077700777777777700000000000000000000007077770007777777777770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555554277775000000000000000000000000000007444449999999555555555555555555555555555555555555555555555555555555555555555555555500000000000000004444440432327777000077777777777777777777777770007777770000777777777777777777700777777777777777777777777777000000007777700777777997777777777770077777777777777700000000000000000000000000000000000000000000077777777000000000000000000000000077770000000000077700000000000000077777777777770007777700000007770000077777777000000000000007000000000000070000000777770000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955545555443777770000000000000000000000000000004444449999999555555555555555555555555555555555555555555555555555555555555555555555447000000000000000000000000000000000007770077777777777777777777777777700077777777777777777777707777777777777777777007777777000000077777700077777777777777777000077777777777777000000000000000000000000000000000000000000777777777000000000000000000000000000077000000077000077700000000000000077777777777777777777000000077770000777777700000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555544555333777700000000000000000000000000000044444449999999555555555555555555555555555555555555555555555555555555555555555555555444000000000000000000000000000000000000770007777777777777777777777777770777777777777777777777777777777777777777770007777777700000070777000007777777777777770000777777777777777000000000000000000000000000000700000000007777770000000000000000077700000000007700000000000000007700000000000000077777777777777777777700007777777777777777700000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555554453355000000000000000000000000000000000044444499999999555555555555555555555555555555555555555555555555555555555555555555554444000000000000000000000000000000000000000007777777777700077777777777777777777777777777700007777777777777777007700000777777770000000770000000077777777777770000777777777777777000700000000000000000000000000000000000077777700000000000000000777000000000777000000000000000000000000000000000077700000777777777777777077777777777777777700000000770000000000000000000000000000000070000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997555555544444335000000000000000000000000000000000000777999999999555555555555555555555555555555555555555555555555555555555555555555554477000000000000000000000000000000000000000000777777777770007777777777777777777777777777777077777777777777777007777770007777770000000000000000077777777770000000777777777777777777777777000000000000000000000000000007777770000000000000000000700000000000000000000007700000000000000000000000077000000077777777777777777777777777000700777770077777000000000000000000000000000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555554444444077000000000000000000000000000000000007777999999999555555555555555555555555555555555555555555555555555555555555555555554470000000000000077000000000000000000000000007777777777770000777777777777777777777777777777777777777777777777777777770000077000000000000000000777777777770000000077777777777777777700077700000000000000000000000000077777700000000000000000077770000000000000000000007700000000000000000000000077007770007777777777777777777777777000077777777777770000000000000000000000777770777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999775555554444477000000000000000000000000000000000000007779999999999555555555555555555555555555555555555555555555555555555555555555555444700000000000007700770000000000000000000000007777777777770000777777777777777777777777777777777777777777000077777777700000007777770000000000779977777777000000000777777777007777000770000000000000000000000000000007777777700000000000000077777770000077777700000000077700000000000000000000000007777700077777777777777777777777777777777777777007700000000000000000007777777707777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999755555554444477700000000000000000000000000000000000077779999999999955555555555555555555555555555555555555555555555555555555555555555447000000000000000770777000000000000000000000007777777777777000777777777777777777777777777777777777777777000077777777777777700070000000000000779777777777000000007770007777007770000077700000000000000000000000000777777770000000000000777777700007777777777000000000777000000000000000000007700077777000777777777777777777777777777777777777770000000000000000000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997775555555444777700000000000000000000000000000000000077799999999999955555555555555555555555555555555555555555555555555555555555555554470000000000000000077777770000000000000000000000777777777777777777770077777777777777777777777777777777777777777777077777770000007000000000000007777777777000000077770000777777700000077700000000000000000000000777777777700000000000777777777700077777777700000000000000000000000007700777077777777777000777777777777777777777777777777007777770000000000000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977775555557377777700000000000000000000000000000000000077799999999999995555555555555555555555555555555555555555555555555555555555555544470000000000000000077777777770000000000000000000777777777777777777770007777077707777777777777777777777777777777777777770000000007770000000000000777777777000000777777000077777700000000000000000000000000007777777777777777777700077777777777707777777777777777700000000000077770777770777777777777777000777777777777777777777777770000777000777770000000000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777755777777770000000000000000000000000000000000000077799999999999999555555555555555555555555555555555555555555555555555555555555554400000000000000000077777777777000000000000000000007777777777777777777777777000007777777777000777700777700077777777777777777700007777000000079007777777777770000777700000000700000000000000000000000000000777777777777777777770000777777777777777777777777777777777000000077777777777777777777777777777077777777777777777777777777000000777777770000000000000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777770000000000000000000000000000000000000077999999999999999555555555555555555555555555555555555555555555555555555555555554400000000000000000077777777777700000000000000000000077777777777777777777777777007777770777000777700000007777770000777777777777777777000000077000777777777770007777000000000000000000700000000000000077777777777777777777777777777777777777777700077777777777777777000007777777777777777777777777777777777777777777777777777777700077700077777000000000777777777777777777777000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777700000000000000000000000000000000000000077799999999999999995555555555555555555555555555555555555555555555555555555555554000000000000000000007777777777777000000000000000000077777777777777777777777777777777777770000077000000077777777700077770777777777777777000007000777777770000007777700077000770777777777077000000000777777777777777777777777777777777777770000000077777777777777777000777777777777777777777777700000777777777777777777700000077700777777777000000000007777777777777777777000000777777777770777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777700000000000000000000000000000000000000000999999999999999999955555555555555555555555555555555555555555555555555555555540000000000000000770000777777000777700000000000000000007777777777770777777777777777777777000000077000000777077777777777777000777777777777777777700777777777000007777777007700777777777777777000000077777777777777777777777777777777777770000000000777777777777777777777777777777777777777777700000000777777777777777700700000077700777770070070000007777777777777777770000000000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777700000000000000000000000000000000000000000099999999999999999995555555555555555555555555555555555555555555555555555555540000000000000000777000000777777707770000000000000000000777777777777777777700070777777777700000770000000770000770077000007777077777007997777777777777777777000007777770007000000777777777777707077777777777777777777777777777777777770000000000007777777777777777777777777777777777777777777700000007777777777777777000770007777777777770000000000777777777777777777700000000000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777000000000000000000000000000000000000000000799999999999999999999555555555555555555555555555555555554555555555555554454444000000000000000770000000007777777777000000000000000000007777777777777777770000007777777777777770000000700000000070000007777007777000997707777777777777777700000777770007000777777777777777777777777777777777777777777777777777777700000000000000000007777777777777777777777777777777777770000000777777777777777000000700077777777770000000000007777777777777777777000000000000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777000000000000000000000000000000000000000000799999999999999999999955555555555555555555555555544455444555555555555555444400000000000000000770000007000777777777700000000000000000000777777777777700777000000777777777777770000007700077000000000777770000000000777700077777777777777777700077700007777777777777777700777777777777777777777777777777777777777000000000000000000777777777700777777777777777777777777700000007777777777777700000000000777777700000000000007777777777777777777777000000007770077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777000000000000000000000000000000000000000000009999999999999999999955555555555555555555555555544555555555555555555555444400000000000000000777000007777700077777770000000000000000000777777777777700777000000777777777777770000077700077770000007777000000000000000007777777777777777777777777700077777777777777777777777777777777777777777777777777777777770000000000000000007777777777000777777777777777777777777700077777777777777777777000777777777770000000000000077777777777777777777777000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777770000000000000000000000000000000777000000000000009999999999999999999955555555555555555555555555445555555555555555555555544440000000000000000070000077777770007700000000000000000000000077777777777700770000077777007777777770000777777777700000777777777000799000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777000000077777777777777777777777777777777777777777777777777777777777777777777777770000000000000007777777777777777777777777077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777700000000000000000000000000000000000000000000000009999999999999999999955555555555555555555555555455555555555555555555555444440000000000000000000000007777777000000770000077000000000000007777777777777777770077700077707777770007777700777777777777777770000999000770000077777777777777700000777777777777777777777777777777777777777777777777777777777777770000777777777700000077777777777777777777777777777777777777777777777777777777777777777777777000000000000000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777000000000000000000000000000000000000000000000000079999999999999999999955555555555555555555555555445555555555555555555544444000000000000000000000000000077777777000077000077700000000000000777777777777777777777000007777777770007777000000000077777777770009900000770000777777777777777770000007777777777777777777777777777777777777777777777777777777777000077777777770000000777777777777777777777777777777777777777777777777777777777777777777777000000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777000000000000000000000000000000000077000000000000779999999999999999999995555555555555555555555555444455555555555555555444444000000000000000000000000000077777777700000000777770000000000000077777777777777777777700007777777770077770000000000000007777770799900000000007077700777777777700000077777777777777777777777777777777777777777777777777777777700007777777777000000000777777777777777777777777777777777777777777777777777777777777777770000000000000000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777000000000000000000000000000000000077700000000000799999999999999999999999555555555555555555555555555555555555555555554444400000000000000000000000000000777777777770000000007770000000000000077777777777777777777777077777777777777770070000000000007000079990000000000000077700077777777700000777777777777777777777777777777777777777777777777777777770000000000077700000000077777777777777777777777777777777777777777777777777777777777777777000000000000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777770000000000000000000000000000000000077700000000000799999999999999999999999555555555555555555555555555555555555445555554444000000000000000000000000000000077777077777000000000777000000000000007777777777777777777777777777777777777777777000000000000000799900000000000000000770077777777000007777700777777777777777777777777777777777777777777777777700000000000000000000000777777777777777777777777777777777777777777700000007777777777777700000000000000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555777777777777777770000000000000000000000000000000000077770000000007999999999999999999999999955555555555555555555555555555555544455555554444000000000000000000000000000007777770000777700000000077777000000000000007777777777777777777770077777777777777777707000000000099990000000777777700000777777777777000000777000077777777777777777777777777777777777777777777777000000000000000000000007777777777777777777777777777777777777777000000000007777777777770000000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997755777777777777777700000000000000000000000000000000000077770000000077999999999999999999999999999957955555555555555555555555555445555555554440000000000000000000000000000077777777000777777000000000077777000000000000777000000777777777777000777777777777700777000700000799900077000777777700000777777777777000007777000000777777777777777777777777777777777777777777777000000000000000000000777777777777777777777777777777777777777770077777700077777777770000000000000000000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000000777770000000779999999999999999999999999999999955555555555555555555555555555555555554444000000000000000000000000000777777777000077777700000000000777700000000000000000000077777777777777777777777777000000000000000777700070000000000000007770000777777700077770000007777777777777777777777777777777777777777777777777777777000000000007777777777777777777777777777777777777777777777777777777777777770000000000000000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000000777777000000779999999999999955599999999999999995555555555555555555555555555555555554440000000000000000000000000007777777777700007777770000000000077770000000000000000000007777777777777777777777777777000000000000007700000000000000770000770000077777000000777007777777777777777777777777777777777777777777777777777777770000000000077777777777777777777777777777777777777777777777777777777777777770000000000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000000777777000000799999999999995555599999999999999995555555555555555555555555555555555554444400000000000000000000000007777777777770000077770000000000007700000000000000000000077777777777777777777777777777770000000000000000000000000000777000770007777777000000777777777777777777777777777777777777777777777777777777777770000000000000777777777777777777777777777777777777777777777777777777777777777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000007777770000000799999999999955555579979999999999995555555555555555555555555555555555554444440000000000000000000000007777777777777770007777770000000000777700000000000000000000007777777777777777777777777777777000000000000000000000000777000000007777777000000077007777770777777777777777777777777777777777777777777777770000000000777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777700000000000000000000000000000000077777777000000799999999999955555555555544479999995555555555555555555555555544555444444444400000000000000000000000000777770000007777000707777000000000077700000000000000000000000777777777777777777779777777707777000000000000070000000770000000007777777700000777007777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777700077000000777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777700000000000000000000000000000000777777777000000799999999999555555555555544444999995555555555555555555555555444544444444444000000000000000000000000000777770000000777770000777770000000077700000000000000000000000007777777777777777797777770077770000000000007700000000070000000077777777700077777777777777777777777777777777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777700000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777000000000000000000000000000000000777777777700000099999999999555555555555444444499999555555555555555445555554444444334444444000000000000000000000000000777700000000077770700077777000007777777000000000000000000000000000000007777777797777007770000000000000007770000000077000000777777777700007777777707777777777777777777777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000000777777777777000099999999995555555555544444444499999555555555555544444444444444433334444420000000000000000000000000000000000000000000000007000000700000000000070000000000000000000000000000000007777700000077700000000000000077777000000770000000777777777700007770070000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777700700000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000007777777777000700009999999955555555555554444444499999955555555555444444444444333333334442222000000330000000000000000000000000700077000000000007700700000000000077000000000000000000007700770007000000000000000000007000000000777777777707700000000777777770000077777070007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777000000000000000000000000000000007777777777000070009999999955555555555554444444449999555555555554444444444740000333444444222002223332000000000000000007000000070007770000000000000000000000000007770000000000000000007000077777777000000077000000077000000000000700777777000000000777777770000077777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777770000000000000000000000000000000007777997000000777009999999955555555555544444444444995555555555555544443337774444004444444444332222544400000000000000007700000777007770077000000077700000000077000777000000000000000000000007777777000007770000777007000700000777700000770000000007777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007777777777777777000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777700000000000000000000000000000000000777977000000077009999999555555555555444444444444955555555555555555443337334444444444444433344445555400000000000000007770007777007770777007700077700000000000700070000000770000000000007799999990007777007777770007777700000777770000000000000077777777770000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777777777777700000077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777770000000000000000000000000000000000000000077777700700077007999999555555555554444444444444955555555555555555544444444444444444444432334445555500000000000000000700007777700000000000000007777700000000000000007700777000000000077999999700000077777777700007777000000077777000000000000777777777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077777777777777000007777777777777777000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777770000000000000000000000000000000000000000077777700007777007999999555554445544444555444449955555555555555555555544444444444444444442234444555540000000000000000000000777777000077700077777777777700000000000707777777700000077999999970000000000077000777777000000000007777700000000777777777777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777007777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777700000000000000000000000000000000000000777777777777777777999999555554445554444455444444955555555555555555555554444444444444444444434444555540000000000000000000000077777700077007770007700777000770000000777777777700000009999997770000000000077000000000000000000007777000000077777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777000000000000000000000000000000000000077777777777700777999995555555555555555555445555555555555555555555555554444444444444444444444445555440000000000000000000000007777000000000700000777777777770000000000007777770000099999977770777700007777000000000000777770000000007770777777777777777777700000000077700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777770000000000000000000000000000000000000000777777777777007779777755555555555555555455555555555555555555555555444444444444334443344444333555444000000000000000000000077700077000000000007700077770000000000000000777777700999999777700000000077777770777700000007777000000007770077777777777777777777000007777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777077770000000000000000000000000000000000000000777700777077007779777777555555555555444555555555555555555555555555444444444440033333443333333554440000000000000000000000777000777777000000000700777770000000000000000007777779999999700000007700000777777007700000000770000077777700077777777777777777777770007770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777770007770000000000000000000000000000000000000077777000770077007777707777755555555555555555555555555555555555555554444444444400007223444333444554400000000000000000000000000777770000000000000077777700077000000000000000779999999977000000007770007770000000000000007770000777777777777777777777777777777770000700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777770007070000000000000000000000000000000000000077770007770777007700000007755555555555555555555555555555555555555544444445544440077733443333444444400000000000000000000000000077770000000000000777770000777700000000000000799999999777777700000000000000000000000000000770000077777777000777777777707777777770077000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777077000000000000000000000000000000000000000000000007770777000000000007745555555555555555555555555555555555555544444444444447777733443220444444000000000000000000000000000000007700000000000000770000777700700000000000999999907777777000000000000000000000000000000077700007777770000007777777700777777000777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777770007000000000000000000000000000000000000000000000007700077777000007777775555555555555555555555555555555555555544444444444477777733333320444444000000000000000000000000000000000000070000000000000000007777700000000079999970000007777000770000000000000000070000007777777777777770000007777777777777777000770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999907777777777007777777777777000000000000000000000000000000000000000000000000000000770077777077777777777555555555555555555555555555555555555544444444444377777777333330044400000000000000000000000000000000000000070000777770000000000770000000000099999000000000077777700000000000000000000000077700077777777770000000777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000777777777000777777777777000000000000000000000000000000000000000000000000000000777777777777777777775555555555555555555555555555555555555544444444444377777777733300000000000000000000000000000000000000007700000000007777770000777700770000000999900000000000077777000000000000000000000000000000777777777700000007777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000777777770000007777777777777000000000000000000000000000000000000000000000007000777700777777777777775555555555555555555555555555555445555444444444444447777777730000000000000000000000000000000000000000000007770000000000770007799777700000000000000000000000007700000000070000000000000000000000077000777000000007777700007777777777770777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000007777700000000007777777777000000000000000000000000000000000000000000000000777777770079977777777777555555555555555555555555555554455554444444444744444477777000000000000000000000000000000000000000000000000777000000000000099999997700000000000000000000000000000000000000000000000007777777700000000770000000007777770007777777777700777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000777700000000000070077777700077770000000000000000000000000000000007900000777777977779997777777777755555555555555555555555555554554334444444447777777773770000000000000000000000000000000000000000000000000007777777700007999999900000000000000777000000000000000077000000000000007777777777777707777770000000007777770000777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000077000000000000000077777700007770000000000000000000000000000000079900000777777979999999777777777775555555555555555555555555555555334444444447777777777777000000000000000000000000000000000000000000000000079977777777779999999970000000007700777700000000000000777770000070077777777777777077777777770000000007777770000077777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000007777770000000000000000000000000000000000000009900000777777999999999997777777777555555555555555555555555555555543333344444777777777777700000000000000000000000000000000000000000000000079970000007799999999970000000077777777770000000000000007777000000077777000700077000000770000000000000777770000077777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000007770770000000000000000000000000000000000000009000000777777999999999999700000777755555555555555555555555555555544444444444477777777777777000000000000000000000000000007700000000000000079990000077999900000000000000007770077707077700000000000777700000000000000000007700000000070000000000777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000007707770070000000000000000000000000000000000000077970777779999999999999900000007775555555555555555555555555555544444444444447777777777777777007770000000000000000000007777777777700000079999999999997700000000000000000777770000077700000000000000000000000000000000007777000000070000000000077777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000007007770000000000000000000000000000000000000000079999070009999999999999990000007777555555555555555555555555555554444444444777777777777777777707700000000000000000000000000007777777777999999999999077777000000000000000777700000000000000000000000000000000000000077000777007700000000000000007777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000077000000000000000000000000000000000000007779999000009999999999999999000007777555555555555555555555555555554444444447777777777777777777777770000000000000000000000000000777777779999999997770000777770000000000000000000000000007000000000000000000000000000077700077000000000000000000007777700077777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000700000000000000000000000000000000000000000077779990000009999999999999999900000777555555555555555555555555555555445554477777700777777777777777777707770000000000070000000000077797799999999000770000007777000700000000000000000000000700007000777000000000000000077700077777000000000000000777777000077777777777777777777777777777777777777777777777700770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000700000000000000000000000000000000000000000077777770000007999999999999999999000077555544555555555555555555555555555555447700077777777007700777777777777770000000000000000000777799999999997000000000000007777700000000000000000000000077007700000700000000000000077700077777700000000000000777777700777777777777777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000007000000000000000000000000000000000000000000077777000007777799999999999999999000007755544555555555555555555555555455555544770000000777000000000007777777777777777770000000007777799979999970000000000000000777770000000000000000770000007077777700000000000000000007770007770000000000000000777777777700000077777777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777007777777799999999999999999900007755444555555555555555555555555545555544477700000007777777700077777777777777777770000000777779999777997777000000000000000000700007777777700000070000077000077770000000000000000000770000700000000000000777777777777770000077777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777007777777779999999999999999990000754444445555555555555555555554555555544447777770077777777777777777777777777777777777777777999999777777777000000000000000077000000777777777000000000077000077777777770000000000000777000000700000000000777777777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000777777779999999999999999999700774444444555555555555555555555445555544444455777777777777777777777777777777777777777777779999997777777777000000077770000777700000000000777770000000000777777777777777777700000000000000000770000000000777777777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000777777779999999999999999999900070044444445555555555555555555555555554454455554777777777777777777777777777777777777799999999977000077777700000077777000077770007770077000077700000000077777770007777777000000000000000000000000000000077777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777007777777777999999999999999999990000774444444555555555555555555555555555555555555444777777777777777777777775557777777777999997000000000777777000000077700000000007777777000077777700000000077777000777777700000000777000007770070000770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770777777777777999999999999999999999707777744444555555555555555555555555555555555555444444477777777755555575555555575555775999700000000000007777000000000700000000000700007777777777700070777777777700000077777700000000000000770000000770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777999999999999999999999977777774444355555555555555555555555555555555554444444444447555555555555555555555555959997000000000000000077000700000777000000077777000077000077707000077700000000000077700007707000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777999999999999999999999999725544444433455555555555555555555555555554444444444444445555555555555544555555595999997777777700000000000000770000077700700777777000000000007777777077770000000007777000070077000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777999999999999999999999999975555554444445555555555555555555555555555555555555544555555555555555555544455799977777777777770000000000000077000007770000070777000000000000000000077777700000000770000000000000000077000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000777777777999999999999999999999999999555555554455555555555555555555555555555555555555555555555555955555555554477999777777700077770000000007700077770000000000707007770000000777000000777777777777700000000000077777000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777779999999999999999999999999999995555555555555555555555555555555555555555555555555555555559995555555555770990000000000000777000000000000007777700000007777707777000000000070077777770070777770000000000007777000077000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700077779999999999999999999999999999999555555555555555555555555555555555555555555555555555555599999999597744000000000000000000007777777000000007777770000777007777700000000000077777000000077777777700000000770000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777007799999999999999999999999999999999995555555555555555555555555555555555555555555555555555999999999077444000000000000000000000777777700000000770777000000000777000000000000770077700000000000007700000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000777777999999999999999999999999999999999999555555555555555555555555555555555555594444555555555999999900007544000000000000000000000777777770000000000077700000000000000770000000000007000000007770700000000000000000700000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000777999999999999999999999999999999999999999555555555555555555555555555555555999745555555599999000000044400000000000000000000007777777770000000000007770000000000777770000000007777077700000000777700000000000007777770007700000000000077777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000777999999999999999999999999999999999999999999555555555555555555555555555559997775555555999970000000004440000000000000000000000777777700000000000000077000000000777700000000000000077777000000777000000000070000000000000000000000000077777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777999999999999999999999999999999999999999999999955555555555555555555555999977755555559997700000000004444000000000000000000000000777777700000000000077770000007777770000000000000007777777000077000000000000000000000000000077000000077777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777799999999999999999999999999999999999999999999999999995555555555555559999774555555599977700000000004440000000000000000000000000077777770007770000000777770000770000000000777000077007777700077770000000000077000000000000077700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777070000000000000000000077999999999999999999999999999999999999999999999999999995555555555555999999745555555599977000000000000000000000000000000000000000007777777777770000000000770000000000000007777777770000077770007700000000000077000000000000077770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700000000000000077999999999999999999999999999999999999999999999999999995555555555559999997555555559999770000000000000000000000000000000000000000000000777770000777000700000077777777007777777777777000007700007700000000000007000000000000077070007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000000000000007999999999999999999999999999999999999999999999999999999995555555599999975555555599997770000000000000000000000000000000000000000000000000000000000007700000777777000777777777777777770000000000000000000000000000000000000000007777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000777777700000000000009999999999999999999999999999999999999999999999999999999999999999999999955555559999707700000000000000000000000000000000000000000000000000000700000000000000000700000000007777777777777000007700000000000000000000000000000077077777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777000007777777777700007999999999999999999999999999999999999999999999999999999999999999999999999555555599977000000000000000000007999900000000000000000000000000000000000700000700000000077000770000770777077777700077770000000770000000000000000000077777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777000777777777770799999999999999999999999999999999999999999999999999999999999999999999999999755555599900000000000000000000999999000000000000000000000000000000000000077000070000000777700777000000770777777700007777000000770000000000000000000077077777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770007777777777999999999999999999999999999999999999999999999999999999999999999999999999999775554799900000000000000000000999900000000000000000000000000000000000000007000077000000077007777770007700777777770000777000000700000000000000000000070007777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999975544777900000000000000000000000000000000000000000000000000000000000000000000007700000000077777000077700777777777000777000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777707777777999999999999999999999999999999999999999999999999999999999999999999999999999944444007900000000000000000000000000000000000000000000000000000000000000000000000000000000000770000007770707700077770007770000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070000777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999994400000000000000000000000000000000000000000000000000077000000000000000000000000000000007700000000000000000077777000770007000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999490440000000000007700000000000000000000000000000000000007700000000000000000000000000077777700000000770000000007777007700007000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999000744700000000009970000000000000000000000000000000000000000000000000000000000000000000007700000777770000000007770000000000000000000000000000000007777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999900077770000000007000000000000000000000000000000000000000000007770000000000000000000000000007777777700000000007770000000000000700000000000000000007777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777770077777777777779999999999999999999999999999999999999999999999999999999999999999999999999999973377777777770700000000000000000000000000000000777000000000000000000000000000000770000000700077777700007770077770000070000000700000000000000000007777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777779997777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999093335599997700000000000000000000000000000000000077777770000000000000000000000000777770007700007770000777770007770000000000000000000000000000000007777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777999999977777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999909347997000000000000000000000000000000000000000000007777777000000000000000000000777700000000007770007777770000770000000000077000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977799999997999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000700000000007999999999707777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000007777777770000000777000000000077700000000000777000077770000070000000000007700000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555599999777799999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770077700799999999999999777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000777000777777007777700000777077700000000700777700007777000770000007700000700070000000000077770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997555999977777999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777779999999999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000077000777777700000000770000077777000000000077000700777777700000000000000077000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977759999777779999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000007777777700000007770000007777700000777770000007777000770077777700000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777797777777779999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999790999900000000000000000000000000000000000000000000000000000777777700000000077700077777777000077777700000077007770077777770000000000000000000000000000007000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979777999977777779999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999990099990000000000000000000000000000000000000000000000000000000007777700000000077077777777770070007777777000077007770000777770000700000000000000000000000007700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997779779777777779999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999900000099999999000000000000000000000000000000000000000000000000000000000000000777777000070000007777077770007700777777000000007770000077770000770000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779777770777779900999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077007777777777779999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000007000070077007777777700007770077777000000007770000777770000000000000000000000000000000777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777000777709999099977999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777799999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777007777707770007777777777000700007777007777700000000000000000070000000000000777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777700000070000000000000999799999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000077007777777797799999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777077700770077700077777077007770007770007777000007000070000000000000000000000777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990077777770000000000009900000000090079999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770777777777777999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700770000077770077770777000777000000077777770077000007000000000077777000000077777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990077777770000000000000000000000000099990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777799999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000077700777077777700770000000077700777000000007000000000070777770000077777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999779999999997777970000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700007700777077777770770077000007000077700000000000000000000777777000777777707777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997797000990777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077779999999999999999999999999999999999900000999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000777777777000070777777707777770070000007000077770000000770000007777777000007777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007779999999999999000077999999999999900000000009999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000000000007777000700000777777707777000000000000000777770000007777000007777077700777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777999999999990000000799999999990000000000000099999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777000070077700770007777777707777007007777700000777700000070000000000777077777777770077777777777700770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777999999999900000000009999999700000000000000000099999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700077007777777777777777777707770000000070000777000000070007700000077777777777770000777777777000770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777999999999970000000000999900000000000000000000000999999999999999999999990000000000000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000077770000000777777777770000077777770000000000000070077000000007700000007777777777777000777777777000770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007779999999999700000000000799000000000000000000000000099999999999999999999900000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000700070777700000077777777777000007777770000000000700000007700000077700000007777777777777000777777777700777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777779999999999770000000000770000000000000000000000000000999999999999999999900000000000000000000000000000000000000000000000000000000000000077700000000000000000000000000000000777777077777000000777777777000077777777000770000770000007000007777000007707777777777070000777777777700777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777779999999999977700000000000000000000000000000000000000009999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777007777700000777777770000007007777777770000000000000000007770770000777777777777700007777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000099077777999999999999000009000000000000000000000000007700000000009999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700077770000077077770000007700770777000000000000000000000000777000777777777777700000777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000999000777799999999999970009000000000000000000000000000770000000000099999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700007777000000000077700000000770777000077000000000000077000000000777777777777770000077777777777777777000777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007799000777777799999999999999900000000000000000000000000077700000000000000999999900000000000000000000000000000000000000000000000000000000000000000000000000007000000000000000000000000777700000770000700000000000000000777077700777000000000000007000000000000007777777770000007777777707777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770777077777799999999999999990000000000000007777000000007777000000000000009999900000000000000000000000000000000000000000000000000000000000000000000000000077700000000000000000000000077777007700000000000000000000007007777777000007700000000000770777770000000777777777700007777777700777770777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777779999999999999999700000000000007777770000000000000000000000000099000000000000000000000000000000000000000000000000000000000000000000000000000077770000000000000000000000007770000000000000000000000000007700777777700007700000000000777700070000777777777777770077777777770777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777999999999999999970000000000007777777000000000000000000000000090000000000000000000000000000000000000000000000000000000000000000000007777700007777000000000000770000000000000777777000000000000000000000770777777770007777700000000000000000077777777777777777777777777770777777770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777700999999999999999999700000000077777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700000777700000000077777077000000000077777000770000000000000700777077777777007770700007007000777007777777770777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007007777777000000077777777777779999999999999999999999000000000777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777770000777000077777777777777700000000000777000777000000000000770077777777077777700070077700007777777777777777777777777707777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777700000077777777777779999999999979999999999000000000000007777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000700770000000007777000000777777777777777700000000000000077000000000000000077777777077777000007700700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777770777777777799999999999909009999990000000007777000077700000000000000000000000000000000000000000000000000000000000000000000000000000000000007700070000000007777700000007777777777777770000000000000007770000000000000007777770077777000000700777000077777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777999999999990000000000000000000000077777700777770000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700077777077770000000777777777777000000077700000000000000000000000000777770077777000000000077777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777999999999700000000000000000000000000077700777777000000000000000000000000000000000000000000000000000000000000000000000000000000000077770770077777777770000077777777777770000000007770000000000700000770000000770777777777000700000777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777999999999000000000000000000000000000000000077777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777077777777777777700000000007770000000007777000000000000070777777777700700000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777779999999999000000000000000000000000000000000077777700777000000000000000000000000000000000000000000000000000000000000000000000000000000000777777007777777777777777777777700000000000777700000000777777000007000000077777777000777000007777777777777777777077777777700777777777770777777777777777777777777777777777777777777777777777777777770777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777779777777777777999999900000000000997700077000000000000000070777000077700000000000000000000000000000000000000000000000000000000000000000000000000000000777777007777777777777000007777700000000000077770000000007777700077000000007777770007777700007777777777777777077007777777700777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777770000000000000700077777770077777777777777777777777799997000000000007999997777700000000700007700000000077700000000770000000000000000000000000000000000000000000000000000000000000000000000077777777777777777770000077777700000000000007777000000000777000000000777000777777000777700077777777777777770077777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700000000777000077777770000077777777777777777777770090000000000009999999777779700000770000000000077700000000000077000000000000000000000000000000000000000000000000000000000000000700000000077777777707777770000777777700000000000077777700000000777700000007777000770077777777000077777777777777777777777770777770007777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777700070000777777777777007777777777777707777700000000000000079999999999997777777777700770000077700000000000007000000000000000000000000000000000000000000000000000000000000007777000000077777777777777777000077777770000000000077777777700000777770000000000777000077777700007000077777777777777777777770077777007777770777707777777777777777777777777777777770777770007700000777777777770000007777777777777777777777777777777777777777777777777777777777777777770007777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777700000077777777777777007777777777777777000000000000000000099999999999990000777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000777777777777770777700000077777700000000000777700000000077777700000000000000007700777000000000777707777777777777777777777777777777777777007777777770777777777777777777770007770000000000077777777770000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777077777777707777777777777777000777777777777777000000000097777700799999999999990000000777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000007770000007777770007777000007777700000777700000000007777700000000707777777700000000700007777777770000000777700777777777777777777007777077777777777777777777770077777777777777777777770770000000000007777777777000000000000000077777777777777777777777777777777777777777777777777777777770077700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777077777777777700077777777777777700000000799779977799999977779990000000077777777000000000000000000000000000000000000000000000000000000000000000000000000000000000007700007777700000000077007000077777000777000000077770077777770777700077777700770007777007777777777777700077777777777777777777777000777077777777777777007777777077777777777777777777770077777000000000777777777700000000700000077777777777777777777777777777777777777777777777777777777700000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777770007777777777777777000007799999977799977777779900000000000777777777700777700007777700000000000000000000000000000000000000000000000000000000000000000700077777700000000000000000077777777777700000000000777777700777770000777777777777777707777777777777700007777770777777777777777700770007777777777777007777777707777777777777777777770777777777700000777777777770000000777000077777777777777777777777777777777777777777777777777777777000000000000000000000007777000000000000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777700007777777777700777777777777777777007799999977777777700799990000000000007777777777777000000777700000000000000000000000000000000000000000000000000000000000000000770777777000000000000000000777077777777700007700077777770000007777000777777000777707777777777700777770000777777777777777777777777770007777777777777777777777777777777077777777777777777777777777700077777777777777007777777777777777777777777777777777777777700777777777777777777777000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777770000777777777770007777777777777777007999999977777777777799977000000000000077777777777700000777000000000000000000000000000000000000000000000000000000000770000000000777777777770770007777000770007777777770077700000777777000007777700077777777777777007007777777777777000077777077777777777007777777000777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777777777777777777000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770000077777777000007777777777700777799999997777900777799977700000000000000777777777777000070000000000000000000000000000000000000000000000000000000000000000000007777077777777777777777777777000777777777777000007777777770777777700000777777777777000077777777777777700000777777777777777777777777700077777777770777700777777007777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777000007777777770000777777777700777999999997779997777799977770000000000000077777777777770000000000000000000000000000000000000000000000000000000000070000000000777777770007077777777777770077777770077777700000007777777770007777007000777777777777777777777777777077777000077777777777777777777777000007777777777777777777777770777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777077777777777700777000000777777999999997779999977999900077000077770070000777777777770000000000000000000000000000000000000000000770000000007000000000000777707777770007700777777777000000777777777777700000000000000000000777770000077777777777777770777777777777777000007777777777777777777777700007777777777707777777777770077770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777077707777777777777770007777777999999999779999999999990077000077777777700007777777777000000000000000000000000000000000000000007777700000000770000000000777700777777777777777777700000000777077777777700000000000000000000777777000077777777777777777777777777777777700000777770000777777777777770077777777777777777777777777007777777077777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777779999977999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000007777777707777777777777777777777777779999999999999999999999997777000077777777770000007777777777700000000000000000000000000000000000777777770000000777007777000777777777777777777777777007007777777007777777770000000000777770000007777770007777777777777777777777777777777777000777777000007777777777777777777777777777777770077777777777777007777777777777777777777777777777707777777777777770000007777777777777777777777707777777777777777777777777000000000000000000000000000007770000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777700777777777770077777777799999999999999999999999999997777777777777777770000077777777777700070000000000000000000000000000777777777777700000777777777070077777777707777777007700000000000000000007777777000000000777777000000700000007777777777777777777777777777777777700007777777777777777770077777777777777777707777777777777777777700777777777777777777777777777777777777777777777777700000007777777777777777777777770007777777777777777777700770000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700077777777007777777777007777777999999999999999999999999999997777777777777777770000077777777777777777777000000000000000000077777777777777777777777777777777700007777777777777777007777777000000000700000007777700000000007777700000000000077777777777777777777777777777777777700000777777777777777770007777777777777777777777777777777777777770077777777777777777777777777777777777777777777777770000000000000077777777777777777700077777777777777777777777000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000007777777000077777777000707779999999999999999999999999999997777777777777777777700000007777777777777777000000000000000000077777777777777777777777777777777700000777770777777777770077770007770007777770000777770000000007777777000077770007777777777777777777777777777770777777000770077777777777777700077777777777777777777777777777777777777777000777777777777777777777777777777777777777777777700000000000000777777777777777777777777777777777777777777770000000000000000000000000007777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077000077000000777777000077777077777000799999999999999999999999999999999777777777777777777770000000077777777777777000000000000000000777777777777777777777777777777777700000007777777777707770077700000077007700077770077770000000077777777000007770000777777707777777777777777777777777777777700007777777777777770077777077777777777700777707777777777777777000077777777777777777777777777777777777777777777777000000000000077777777777777777777770007777777777777777777777777077000000000000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000077777777007770007777777779999999999999999999999999999999977777777777777777770000000000000007777777700000000000000007777777777777777777777777777777777700000000077000000000000000000000000000000077700007770000000777777777777707777000777777777777777777777777777777777777777770007777777777777777777777777700777777770777700777777777777777700007777777777777777777777777777777777777777777777777000000000000077777777777770777700077777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977977777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770770077077777777777777777777779999999999999999999999999999999999777777777777777777000000000000000000077700000000000000000777777777777777777777777777777777770000000077700000000000000000000007000077777700007777000000000077777777000077770000777777777777777777777777777777777777777007777777007777777777777777770777777777777777007777777777777777777777777777777777777777777777777777777777777777777777077777707077777777777700000700007777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777000000777777777777777777779999999999999999999999999999999999977777777777777777700000000000000000007700000000000000000777777777777777777777777777777777777777000077700000077000000000000007700000777777700777000000000077777770000077770000777777777777777777777777777777777777777777777770007777777777777777770077770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777770700000000000000070077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777000000777777777777707777777999999999999999999999999999999999997777000077777777770770000000000000000770000000000000000077777777777777777777777777777777777777777700000000077700000000000007000000000777000777700000000777777777000007777777777777777777777777777777777777777777777770077777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000700000000000077700777777777777777770000000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777000007777777707777700007777799999999999999999999999999999999999700000007777777777000000000000000000000000000000000000777777777777777777777777777777777777777707000000000777770000000000000000000000000000777770000077777777777700000777770777777000000777777777777777777777777777770777700777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007700000000000000077777777777777700000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700000777777777777777777000000077777007777000000777799999999999999999999999999999999999000000777700077777000000007000000000000000000000000007777777777777777777777777777777777777777777000000077777777777777700070000000000000000777700000777777777777770000077000077777700770077777777777777777777777777777777707777777777707777707777777007777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707000007700000000000000000000777777777700000007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777000777777777777777777700000077777007777700000777799999999999999999999999999999999999900000077700007770000777000700000000000007000000000777777777777777777777777777777777777777700000000000077777777777777777777700000000000000000000000777777777777777000777700777777000770770077777777777777777777777777777777777777777777777777777700007777777700077777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000770000007770000000777777777770000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777700770000777777777777700777777799999999999999999999999999999999999900000000000000000000000000000000000000077700000007777777777777777777777777777777777777777000000000000777777777700077770770000000000000000000000000077777777777777777700777700077777777770077777777700077777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777000000000000700000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777000077777077777777700077777999999999999999999999999999999999999990000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777000000007777777700000007000000000000000000700007700000000000777777777777000000700000777777770007777777700007777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007770000007700077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007700077777777777777777777777777777777777777700007777777770007777999999999999999999999999999999999999900000000000000077000000000000000000007770077777777777777777777777777777777777777777777777770000000077777777700000777777700000000000077700007770000000000077777777777770000000000077777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777770007007770000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777770000777777777000079999999999999999999999999999999999999990000000000000007000000000000000000077770077777777777777777777777777777777777777777777777700000007777777777770007777777777007700000070000077777700000000007777777077770000007770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777797000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777770000077777700900999999999999999999999999999999999999999999000000000000007000000000000000000077770077777777777777777777777777777777777777777777777700000077777777777777077777777777707700000007700077777700000000000777770007777000777770777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777700077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777077777777777777777777777777777777777777777777777777000077777777999999999999999999999999999999999999999999999900077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007700000007770000000000007777700777777777777777777777777777777777777777777777777777777777777777777770077777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000707777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999977777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000070077777777777777777777777777777777777777777777777777700000777777799999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000007777777777777000077707777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007000000000700007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999977777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777770000777777777777999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077700700770077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999797799999999777799999999999999999999999999999999999999999999999999999999999999977777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777770000777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777770777777777777707777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777779999999999999999999999999999999999997999777799777777777777777999999999999999999999999999999999999999999999999999999999999777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777700777777777777777777777777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777777777777777777777777777777777700777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999997779777777777777777777777777777779977777999999999999999999999999999999999999999999999999997777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777000777007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999997777777777777777777777777777777777779777797799999999999999999999999999999999999999999999999999977777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777700000777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777000077000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799997999999999999999999999999977777777777777777777777777777777777799777997777999999999999999999999999999999999999999999999999777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007000007770777000000000777700000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777700077777777777700077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777799799999999999999999999999977777797777777777777777777777777777777777777977777777779999999999999999999999999999999999999999999777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077700077777777777777777700077770000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777770777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777779999999999999999999999997777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777700077777777777777777777770000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777007777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777077777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799999999999979999999997777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777700777777007777777777777700000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777007007777777777700077777770077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777977999799999999999777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999997977777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777700007770077707007777777777077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777799999999997777779777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777977777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777077707777700777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777799999999999977777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777777077777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777797799999999999777797777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999977777999999999999999997777777777777777777777777777777777777777777777777777779999999999777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999997777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777799999999777999777777777777777777777777777777777777777777777777777777779999999997777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999997777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777799999997777777777777777777777777777777777777777777777777777777777777999999999777777777777777777777779777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999997777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777977777777777777777777777777777777777777777777777777777777777779999999799777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077770777777700777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777797999999997777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999977777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777707777007777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777999999999999977777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999777777777777770000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777799999999779777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999997777777777777000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077770777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999777777777777000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777770777700777770007777777707777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999977777777777000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999977777777700000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977799999999999999999999999999999999999999999999999999999999999999997777777700000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999997777777700000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777770000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777770000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777700777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999997777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999979777779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999997777777700000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777777777777799999999999999999999999999999999977777777997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777799999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777
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