JMA_SEA_ICE_ANALYSIS20220103
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777779999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777799999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944447777777777777777777777799977999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944477777777777777777777799999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999477777777777777777777999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777779999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777799999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444777777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444447777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555554444777777777777999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777779999999999999999997779999999999999999999999999999999999999999999999999999999555555544777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777799999999999997777777999999999999999999999999999999999999999999999999999999555555557777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777979777777777777777799999999999977777777999999999999999999999999999999999999999999999999999999955555557777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777999999444444777777777777777777777999999999777777799999999999999999999999999999999999999999999999999999999999995557777777777779999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777774444444444477777777777777777799999777777777779999999999999999999999999999999999999999999999999999999999995555777777799999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999477777777777777777744444444444444777777777777777777777777777777799999999999999999999999999999999999999999999999999559999999994447777777799999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944447777777777777774444444444444444477777777777777777777777777777799999999999999999999999999999999999999999955559995559999944444477777777999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444777777744444444444444455555444477777777777777777777777777799999999999999999999999999999999999999999995555555555554999444444577777779999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444444444444444455555555554477777777777777777777777779999999999999999999999999999999999999999999444444555555444444444444477777779999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999774444444455555555444444444444555555555554447777777777777777777777777999999999999999999999999999999999999999994444444444555444444444447777777779999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444445555555555555555555555555555555554447777777777777777777777799999999999999999999999999999999999999999555555544444444444444447777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999544444455555555555555555555555555555555554447777777777777777777777999999999999999999999999999999999999999955555555544444444477777777777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444445555555555555555555555555555555555544477777777777777777777797999999999999999999999999999999999999955555555555544477777777777777777777777777777999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944555555555555555555555555555555555554444777777777777777777777999999999999999999999999999999999999955555555555555444777777777777777777777777777999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555554447777777777777777777777777999999999999999999999999999999999555555555555554447777777777777777777777777799999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555554447777777777777777777777777799999999999999999999999999999555555555555555544477777777777777777777777779999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555554447777777777777777777777777799999999999999999999999999995555555555555554444777777777777777777777777799999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555444477777777777777777777779999999999999999999999999999555555555555544444477777777777777777777777777999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555544447777777777777777777799997977777999999999999999955555555555555444477777777777777777777777777779999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555444447777777777777777799777777779999999999999995555555555555544777777777777777777777777777777777799999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555544444447777777777777777777777799999999999999555555555555544777777777777777777777777777777777777999799999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555444444477777777777777777777999999999999955555555555554447777777777777777777777777777779777999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555444444444477777777777777777999999999999955555555555547777777777777777777777777777999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555554444444444477777777777777999999999999555555555554477777777777777777777777777779999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944555555555555555555555555555555555555555555555555555555555555554444444444447777777777779999955555555555555555447777777777777777777777777777799999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555555555555555555555555555555555555555555555555555555555555554444444444444447777777799999555555555555555477777777777777777777777777799799999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444445555555555555555555555555555555555555555555555555555555555555554444444444444444477777799555555555555555544477777777777777777777777779999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444455555555555555555555555555555555555555555555555555555555555555555444444444444444444777444555555555555555477777777777777777777777999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994454445555555555555555555555444455555555555555555555555555555555555555555544444444444445555555555555555555555477777777777777777777777799999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944445555555555555555555555554444444444444445555555555555555555555555555555555555444444444455555555555555555555444477777777777777777777799999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944555555555555555555555444444444447744444444455555555555555555555555555555555555555444444445555555555555444444447777777777777777777777799999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555444444444444777777777774444444555555555555555555555555555555555555544444444455555554444444447777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999455455555555555555555444444474777777777777777777744444445555555555555555555555555555555555544444444444444444477777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444455555555555555554444477777777777777777777777774444444555555555555555555555555555555555444444444444444447777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444555555555555555444477777777777777777777777777777744444455555555544444444454445555554544444444477777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444555555555555554444777777777777777777777777777777444444444555444444444444444444444444444444444777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444555555555555555444447777777777777777777777777777777444444444444444444444444477777774444444444444777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999455555555555555555555444777777777777777777777777777777777444444444444444444444444777777777774444444447777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977779999999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555447777777777777777777777777777777774444444444444444444444444777777777774444444477777777777777777777777777777777777779999999999999999999999999999999999999999999999997799979999977777779999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555554447777777777777777777777777777777774444444477774444444444444477777777774444444777777777777777777777777777777777777799999999999999999999999999999999999999999999999997777779777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995995555555555555555555544477777777777777777777777777777777777444477777777444444444444444777777777444447777777777777777777777777777777777777999999999999999999999999999999999999999999999999977777797777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555444777777777777777777777777777777777777777777777777744444444444444447777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999977777777777999777777777777999999
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555444777777777777777777777777777777777777777777777774444444444444444444777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999977777777777777777777777777797777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444447779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555444777777777777777777777777777777777777777777777774444444444444444447777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444447777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555554444777777777777777777777777777777777777777777777777444444444444444477777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555554447777777777777777777777777777777777777777777777777777777474777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999977777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444477777777777777799999999999999999799999999999999999999999999999999999999999999999999999999999955555555555555555444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999777777777777777777777777797777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444777777777777799999999777777777779999999999999999999999999999999999999999999999999999999779799999955559555444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999997777777777777777777777777977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999599999994444444444444444477777777799999999977777777777779999999999999999999999999999999999999999999999999999999999999999999994444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999499999999999999999999997777779999999999999999999999999999999999999999995544444444444444444444444444777777777777999777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997799999999555555555555555555555599999444444444777777779999999977777777799999999999999999999999777777777999999999999444444444444444444444444447777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955777775555555555555555555555555555555555444444447777777999999999977777777777777797777999999999977777777777799999999999444444444444444444444444777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999777779777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555444444477777777999999999977777777777777777777799997799997777777777799999999999444444444444444444444477777777777777777777777777777777444555999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555444444447777777999999999977777777777777777777777777777777777777777777799744444499444444444444444447777777777777777777777777777777774444555557779999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999977797777777777777777777777799977777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555544444447777777777999977777777777777777777777777777777777777777777777777774444999444444444444444777777777777777777777777777777999999444555999999999999999999999999999977777979999999999999977999999979777977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999777777777777777777777779999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555554444447777777777977777777777777777777777777777777777777777777777777777777444944444444444444477777777777777777799777777777799999999999999999999999999999999999999999977777777779999999999777777997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999997977777777777777777779999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555544444477777777777777777777777777777777777777777777777777777777777777777777444444444444444444777777777777777799997777777779999999999999999999999999999999999999999999977777777777799999799777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999977799977777777777777779999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555544444477777777777777777777777777777777777777777777777777777444477777777777744444444444444477777777777777777999777777777779999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777977777777777779999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777774444444777777777774444444444444777777777777777777777777777777777999999999999999999997777799999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999777777777777777799999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444455555555555555555555555555555555555555555555555555555555444444777777777777777777777777777777777777777777777777777744444444477777777744444444444444777777777777777777777777777777777799999999999999999977777777799999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999997777777777777779999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444455555555555555555555555555555555555555555555555555555555444444477777777777777777777777770077777777777777777777774444444444777777777774444444444447777777777777777777777777777777777779999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999997777777777777777779999999999999999999777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444555555555555555555555555555555555555555555555555555555444444444777777777777777777777777777777777777777777777774444444477777777777777444444444477777777777777777777777777777777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999777777777777777777779999999999999999997777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444445555555555555555555555555555555555555555555555555555444444444447777777777777777777777777777777777777777777774444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999997777777777777777777799999999999777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444445555555555555555555555555555555555555555555555555555444444444444477777777777777777777777777777777777777777774444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999977777777777777777777777999999997777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444444444455555555555555555555555555555555555555555544444555555444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999777777777777777777777779999997777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444444445555555555555555555555555555555555555554444444555555544444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999997777777777777777777777799999777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444477774444445555555555555555555555555555555555555554444444555555544444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999977777777777777777777799979977777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444444477777444444555555555555555555555555555555555555554444445555555554444444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999777777777777777777777799997777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444444444477777744444555555555555555555555555555555555555555444445555555555444455555554444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999997777777777777777777777799777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997744444444444444444444477777744444555555555555555555555555555555555555555444455555555555555555555555444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777744444444444445554444444477444444555555555555555555555555555555555555555555555555555555555555555555544444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777444444444444555555544444444444445555555555555555555555555555555555555555555555555555555555555555555555444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777444554444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774447999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777744444444445555555555444444444455555555555555555555555555555555555555555555555555555555555555555555555555555544444444447777777777770000777777777777777777777777777777777777777777777777777777777777777777777777774444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777744444444445555555555554444445555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444777777777770000000077777777777777777777777777777777777777777777777777777777777777777777774444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777444777777779999999999999999999999999999999999999999999999999999999999999999999999944774444777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777744444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444477777777777000000000777777777777777777777777777777777777777777777777777777777777777777774444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777744444474444444447777999999999999999999999999999999999999999999999999999999999999999999999999954444445477777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777444444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777700000000077777777777777777777777777777777777777777777777777777777777777777777447777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444444444444447777779999999999999999999999999999999999999999999999999999999999999999999999999555555555577777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777744444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444444444444777777999999999999999999999999999999999999999999999999999999999999999999999999999555555557777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777774444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444477777777777777770000000007777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777774444777994447779999999999999999999999999999999999999999999999999999999999999999999999999999999955555547777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777444444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555554447777797777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777744444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444447777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955444444799999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777444444444444445555555555555555555555555555555555555555555555555555555555555555555555554444445455555555555555555555555555444444477777777777777777770000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444447799999999977777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444774444477744444444444444455555555555555555555555555555555555555555555555555555555555555555555555444444444444555555555555555555555555544444447777777777777777777777000077777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994447799999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444444444444444444445555555555555555555555555555555555555555555555555555555555555555555555554444444444444445555555555555555555555554444444777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444444444444445555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444555555555555555555555555444444477777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777000007777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444544444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444555555555555555555555555444444444777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444555555444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444445555555555555555555555555444444444777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444445555555555444444455555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444455555555555455555555555554444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444555555555544444455555555544444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444445555555555544444445555555544444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444555555555555444444444555555544444444444447777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444455555444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444445544444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000770000777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444555555555555555555555444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000007777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444445555555555555555555444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777777777777777777777777007777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977744444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444555555555555555555554444444444444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999744444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444455555555555555555555444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777777777777777777777777777777777777777777777777777777777777777777799799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999744444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444455555555555555555555444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997744444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444455555555555555555544444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000007000777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444445555555555555555444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000077777777777770000000777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777774444444555555555555555555555555555555555555555555555555555555555555555555555555554444444454555555555555555555555554444444444444444444444555555555555444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000777777777777770000000000007007777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777744444445555555555555555555555555555555555555555555555555555555555555555555555555554444444444455555555555555555555544444444444444444444444444455444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000077777777777777777777777700000000000077777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997774444444455555555555555555555555555555555555555555555555555555555555555555555555555554444444444445555555555555555554444444444444444444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000007777777777777777777777777777777770000077777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444455555554455554444444444444444444444444444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000077777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444455555444444444444444444444444444444444444444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000007777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444555445555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444444444444444444444444444444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444444777777744444447777777777777777777444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777770000000000000000077777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000077777777777700000000000000000000770000077777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447777774444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777770000000000000000000000000077777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544447777777777747777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777777777007777700000000000000000007777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990007777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777007777777777777770000000007777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000077777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000007777777007777777777777777700777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000007777777777077777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995544444445555555555555555555555555555555555555555555555555555555555555555555555555555555555455454444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777770077777770000000007777777777777777777777777777700777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777770777777777777777777777777777777777777777777777777777777777777777777777700007777777000000007777777777777777777777777770000077777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997977799999999999999900000000000077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777770000777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777700000777777770000000077777777777777777777777777707777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000077779999999999990000000000000000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777700000077777770000007777777777777777777777777777777777777777777777777777777777777777777777777777770000777777777700000000007777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000077999999999770000000000000000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777700007777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777700000000777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000099999997770000000000000000000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444455555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777077777777777777777777777777770000777777777777777777777777777777777777777700777777777777777777777777777770000000077777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000009999900000000000000000000000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944445555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777770000077777777777777777777770777700777777777777777777777777777777777777777700777777777777777777777777777777700000007777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444455555555555555555555555555555555555555555555555555555555555555555555555555555554444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777770000007777777777700007777700007770007777777700007000777777777777777777777777777777777777777777777777777777777700000077777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444555555555555555555555555555555555555555555555555555555555555555555555555555555544444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777700077777777777777777777700777777777777777777777777777777777777777777777777777777777777000000077777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444445555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007770000777777007777777777777777777777777777007777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000700000000777777777777777777777777777000007777777777777777777770777777777777777777777777777777000007777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444445555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777000000000000077777777777777777777777777700000777777777777777777777007777777777777777777777777777777700007777777777777777777777777777777007777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444455555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000777777777777777777777777777777000077777777777777777777700777777777777777777777777777777777000777777777777777777777777777700000777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777000777777777777777777777777700007777777777777777777770007777777777777777777777777777777777000777777777777777777777777770000007777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000777000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555544447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000777777777777777777777777777000777777777777777777777007777777777777777777777777777777777700007777777777777777777777770000007777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000777000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777077777777777000000077777777777777770000777777777777777777777777777777777777007777777777777777777770000000077777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000007700000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555544444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777777700077777777777777777777700007700000777700007777777777777770000000777777777777000000777777777777777777777777777777777777777777777777777777770077000077777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000770000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777770077777777777777777777777000000000007000000777707777777770000000777777777777700000077777777777777777777777777777777777777777777777777777700000000077777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000077700000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444447447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777770077777777777777777777777777000777777770007770000777777777000000000000777777770000000777777777777777777777777777777777777777777777777777700000000777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000007770000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777000077707777777777777777777777777777770000077777777777700000000777777777700000777777777777777777777777777777777777777777777777777700000777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000007777777000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444455555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007770000000000777777777777777777777777000770000777777777777770000770077777777777000000777777777777777777777777777777777777777777777777000000777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000077777700000000070000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955444445555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444444444474477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007000777777777777770077777777700000007777777777777777000777007777777777007700000777777777777777777777777777777777777777777777000000777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000077777770000777770000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555559999755555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444747777777777777777777777777777777077777777777777777777777777777777777777777777777770007777777777777777777777777700777777777777777770007777777777777770777777777777777000007777000777700770000777777777777777777777777777777777777777777777700000007777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000777777777777777777000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555599955555599999999995555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777700777777777777777777700000077007777700077777777777777700000777000077700000077777777777777777777777777777777777777777777777770000000777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997700000000000000000007777777777777777777770000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944555555555555555555555555599999555555599999999999995555995555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777000777777777700077777777777777007777777777777777777700000070000000000007777777777777777000000000077777000007777777777777777777777777777777777777777777777777000000077777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000777777777700007777777777777700000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555555555555555555555559999995555555999999999999999555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444447777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777777777007777777777777777777777777777777770000000000000077777777777777777000000077777700000077777777777777777777777777777777777777777777777000000007777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000007777777770000007777777777777770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555559955999999995555559999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444444444444444444477777777777777777777777777777777777000777777777777077777777777777777777777777000000777777777700777777777777777777777777777777777777777700777000007777777777777777700000777777777700077777777777777777777777777777777777777777777777700000000077777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000007777777770007777777777777777770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555995559955555599999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444444444444444447777777707777777777777777777777777777777777777777777777777770777777777777777777700777777770077777777777777700077777777777777777777777777777000000777777777777777700077777777777000007777777777777777007777777777777777777777777777700000000007777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000077777777777777777777777777777777770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444555555555555555555555555555555555555555999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444444444455555444444477777777777777777777777777777777777777777777777777777777700077777777777777700000000077777777777777777777700007777777777777777777777777770000000077777777777777777077700077777000000777777777777777700077777777777777777777777777700070000000000099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000077777777777777777777777777777777700000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999445555555555555555555555555555555555555555955559999999999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555544444444444455555544444447777777777777777777777777000000077777777777777777777777770777777777777777000000000000777777777777777770000000777777777777777777777777770007770000777777777777777777700000777000000077777777777777777777777777777777777777777777777777777770000099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999077777777777777777777777777777770777000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999945555555555555555555555555555555555555559555555999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555444444444445555554444444777777777777777777777770000000000777700077777777777777777770000007777777000000000007777777777777777770000007777777777777777777777777777077770000007777777777777777700000777700000077777777777777777777777777777777777777777777777777777777770099999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777700777000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555599999555555955555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444444445555555444444777777777777777777770007777000000000007777777777777777777770077700077777707777707777777777777777777770077777777777777777777777777777777000777700000077777777777777000000777000000077777777777777777777777700077777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777700000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555995555559555555555555555555599555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444455555554444447777777777777777777777077777770770000000777777777777777777777777770077777777777700777777777777777777777777777777007777777777777777700077770077770000077777777777777777007777777770000777777770077777777777770000077777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555559595555599999555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554444447777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777700000000777777777777777777007770000000000777777770000777777000777777777700007777777000777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777770000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555554455557777777777777777777777777777777777777777777777777777777777700777707777777777777777777777777777777777777777000700000077777777777777777700000000000000007777777700077777007777777777770000077777770077707777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977799999999999999777777777777777777777777777770000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777777007777777777777777777777777777777700007777770007777007777777777777777777777777777777777777777777777770077777777777777777777000000000000000777777777777777777777777777777000000007777777000077777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000077779999999999977777777777777777777777777777770000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555955559955555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555557777777777700000777777777777777777777777777770000007770000007777777777777777777777777777777777777777777777777777770007777777777777777777777000000000007777777777777777000777700000077777700000777700000007777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997770000007700777777777777777777777777777777777777777700000077700000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559955595555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555955555555555555555577777777777007777777777777777777777777777777777770077000007777777777777777777777777777777777777777777777777777777777000007000777777777777777777777700077777777777777777700000000000000000000007777770000000777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777770000007700000077777777777777777777777777777777777700077777770000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555995555555555555555777777777770000077777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777770007000077777777777777777777000077777777777777777777777777000000000077777777777700000077777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000007000777000000777777777777777777777777777777770007777777777777000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559995999555555555555555555595555555555555555555555555555555555555555555555555555555555555555555555555555959995555555555555555777777777000000007777777777777777777777777777077700077777777777777777777777777777777777777777777777777777777777777777777777000077777777777777777077700077777777777777777777777777777000077777777777777777000007777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000777770000007777777777777777777777777777777700000777777777777700000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999995555555555555555555559995555555555555559995555555555555555555555555555555555555555555555555599999999999555555555555555777777777000000777777777777777777700000777000000000777777777777777777777777777777777777777777777777777777777777777777777777000077777777777777700000770007777777777777777777777777777007777777777777777777770077777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000007777700000077777777777777777777777777777777700000077777777777777700000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999955555555555555555555559999999955555599999999555555555555555555555555555555555555555555555555555999999999955555555555555577777777000000777777777777777777777777770000000077777777777777777700077777777777777777777777777777777777777777777777777777700077777777777777000000700000077777777777777777777770000000777777770077777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000007770000000777777777770077777777777777777777700000077777777777777770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555999999995555555555555555555555559999999999999999999999995555555555555555555555555555555555555555555555555599999999999555555555555557777777700000777777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777700000000000000000077777777777777777770000077777777777700007777777777777770077777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000007777700077000007777777777777777777700000007777777777777777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555599999999999999999999999999955555555555555555555555555555555555555555555555559999999999555555555555557777777770077777777777777777777777777770777777777777777777777777777777700777777777777777777777777777777777777777777777777700007777777777770000000000000000077777777777777777777777777777777777777007777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000007777777777077777777000000000777777777777777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999955555555555555555555555555999999999999999999999999999999955555555555555555555555555555555555555555555555999999999555555555555555777777777777777777777777777777777777777777777777777777777777777777777700770777777777777777777777777777777777777777777777700000770777777777700007777000000777777000007777777777777777777777777777007777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000007777777777777777770000000000777777777777000000000000007700007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999995555555555555555555555555999999999999999999999999999995555555555555555555555555555555555555555555555599999999555555555555555577777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000700007777777770077000000000777777000000077777777777777777777777777777700777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000007777777777700007770000000000077777777000000000000000007777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999995555555555555995559999999999999999999999999999999955555555555555555555555555555555555555555555559999995555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077770007777777000000000000007777777700000007777777777777777777777777777777000777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000077777777777700007700000000000000777770000000000000000000777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999955555555555599995599999999999999999999999999999999955555555555555555555555555555555555555555555555999955555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777777700000000007770077700000000077777777777777777777777777777777777777777777777777777777777777777777777000099999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000007777777777777777770000000000000000000000000000000000000077700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555559555599999999995555555555555999995599999999999999999999999999999999555555555555555555555555555555555555555555555555999955555555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000077777777777000000000000077007770000000777777777777007777777777777777777777777777777777777777777777777777777770799999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000077777777777777777770000000000000000000000000000000000000007700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955999999999999999955555555555555999995599999999999999999999999999999999955555555555555555555555555555555555555555555559999995555555555555555555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777770000000770077777770000000000000777700000000777000000777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000777777777777777777777000000770000000070000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555999955599999999999999999999999999999999999555555555555555555555555555555555555555555559999995555555555555555555555477777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777000777770000700000000777777700000000000000007777777777777777777777777777777777777777777770077777777777700079999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000007777777777700777000777770000770000770777770000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555599999555999999999999999999999999999999999999995555555555555555555555555555555555555555599999999555555555555555555555577777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777700007770000007777777777000000000000007777777777777777777777777777770000000000777777700777777000000079999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000007777777777000077000007700000000077770777777700000770000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999955555999999999999999999999999999999999999999555555555555555555555555555555555555559999999999555555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777700007777777770000007777777777000000000007077777770000000777777777777777777000000000000000770000000000000009999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000077777777000077770000770000000007700077777700000777000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555559999999555559999999999999999999999999999999999999999955555555555555555555555555555555555599999999999955555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777770000000700000077777000007777777777777700000000070000777777777000000000000000000077777700000000009999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000777770000077770000000000000007700007777700000770000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999995555599999999999999999999999999999999999999999999955555555555555555555555555555599959999999999995555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000007777000007777777770007770000000000000000000000000700000000000000007777777700000077999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000777777000077770000007777700000000007777700000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555555999955555599999999995555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007700070000000000770000000000777000000777770000000000000000000000777777777000000000000007777000077999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000777777700077770000007777770000000000700000770000700077000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555999999555555999999999999555555555555555555577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777770777700000000000000000000777000000777777000000000000000000000000777777700000000000000000000077999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000007777777770077777000000777770000000000000000777000000077770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959595555555595999999999555559999999999999955555555555555555557777777777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777000000077000000000777700000777777000007700000000777700000000770000000000000000000000000999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000070000000000000000000000777777777007777700000000777700000007000000070000000007777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599955555559999999999999999999999999999955555555555555555557777777777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000077777770000007777007777777777700000000000000000007000000000000999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000770000000000000000000000007777777777777700000000777700000077777700000000000000777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555999999999999999999999999999995555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777700000000000000007777777000077777777777777777000000000007777777007700000000000099999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007770000000000000000000000000007777777777700000000077700000007777700000000000007777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999995555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777700000000000000000077000007777777777777777777777000000077777777777770000000000000099999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000077700000000000000000000000000000777777777700000000077000000000777700000000000000777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999995555555555555555555777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777770000000000000007777770007777777770000077777777777770000000000000099999999999999999999999999999999999999999999999999999999999999999999000009999990000000000007777000000000000777000000000000000777777777770000000000000000000777000000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555599999999999999999999999999999555555555555555555777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000777777700000077700007777700000000000000099999999999999999999999999999999999999999999999999999999999999999000000000009999000000000077777000000000000070000000000000000777777777777000000000000000000777700000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999959999999999955555555599999999999999999999999999999555555555555555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000077770000000000000000000000000007000000000099999999999999999999999999999999999999999999999999999999999990000000000000000099000000000000000007000000000000000000000000000077777777777700000000700000077777777000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599999999555555555559999999999999999999999999999555555555555555555777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000007700000000099999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000007777777077770000000770000007777777700000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955999955555555555555999999999999999999999999999955555555555555554577777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000077777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000779999999999999999999999999999999999999999999999977779999900000000000000000000000000000000000000000000000000000000000000000000000777770000707000000770000000077777700000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555559999999999999999999999999999955555555555555555557777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000077700777777777777777777777777777777777777000000000000000000000000000000000000000000000000000779999999999999999999999999999999999999999999999977779999000000000000000000000000000000000000000000007700000000000000000000000000077777700077000000077000000077777000000000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555559999999999999999999999999999955555555555555555557777777777777777777777700077777777000777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000077000000077777777777777777777777777700000000000000000777770000000000000000077700000077779999999999999999999999999999999999999999999999779979900000000000000000000000000000000000000000000077000000000000000000000000000000777770077700000007700770007777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999955555555555555555557777777777777777777777700077777000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000007777777777777777777777777770000000000000000007777770007000000000007777777777779999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000007777000000000007770000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555599999999999999999999999999999955555555555555555557777777777777777777777700077770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000777777777777777777777777000000000000000000000077777777700000000000777777777777999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000777700007700077777000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555555555557777777777777777777777707777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000700000000000077777777777777777777777700000000000000000000000777777000000000077777777000077999999999999999999999999999999999999999999999977777000000000000000000000000000000000000000000000000000007000000000000000000000000000007770000000007777770000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555555555554477777777777777777777777777700000770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000077777000000077777777777777777777777777777000000000000000000000000000000000077700000077777799999999999999999999999999999999999999999999999000000000000000000000000000000000000000000077000000000000000000000000770000000000000000000000000000777777000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999955555555555555555544477777777777777777770007770000000000777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000077777000000077777777777777777777777777777000000000000000000000000000000007777000007777770099999999999999999999999999999999999999999999999000000000000000000000000000000000000000000077000000000000000000000000700000000000000000000000000000000777700000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555999999999999999999999999999999955555555555555555544477777777777777777000000000000000777777777077777777777777777777700777777777777777777777777777777777777777777777777777007777777777777777777000000077777700000077777777777777777777777700077700000000000000000000000000000077777770000007777770009999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555599999999999999999999999999999955555555555555555544477777777777777700000000000000007777777777777777777777777777777700077777777777777777777777777777777777777777777777770000077777777770777777777777777777777000077777777770000007777777777777700000000000000000777700000007777777000000007777770009999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555999999999999999999999999999999955555555555555555544477777777777777700000000000000007777007777777777777777777777777777777777777777777777777777777777777777777777777777777700007777777777777777777777777700777000077777777000000000007777777707777777700000000000000777770007777777777770007777777007999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555559999999999999999999999999999999955555555555555555554447777777777777000000000000000077700007777777777777777777777777707777777777777777777777777777777777777777777777777777777707777777777777777777777777777770000007777700000000000000000000000777777770000000000000077770000077777777777777777777007999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000070000000000000000000000000000000000000000000000000077777777000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555599999999999999999999999999999999555555555555555555554447777777777700000000000000000777700077777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777700000007777000000000000000000000000700777700000000770000077770000000000777777777777700777799999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000007777000000000000000000000000000000000000000000000000077777770000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555999999999999999999999999999999995555555555555555555554447777777777000000000000000000777000077777700700777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777007777770000000000000000000000000777777700777777000007777000000000077777777777000777799999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000077777000000000000000000000000000000000000000000000000077777000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555999999999999999999999999999999944555555555555555555554447777777777000000000000000000777007777777777777077777777777777777777777777777777777777777777777777777777777777777777777777770000077777777777777777777777777777777777777770000777770000770000077777777770000000007777000000000000777700000000777779999999999999999999999999999999999999999999000000000000000000000000000000000000007700000000777770000000000000000000000000000000000000000000000000000700000000000000007770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555599999999999999999999999999999955555555555555555555554444777777777700000000000000000770007777770777777007770000777777777777777777777777777777777777777777077777777777777777777777770000777777777777777777777777777777777777777777000000777777777000077777777700000000000000700000000000777000000077770009999999999999999999999999999999999999999990000000000000000000000000000000000007777700000000777700000000000000000770000000000000000000000000000000000000007000000770000777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955599999999999999999999999999999555555555555555555555554444777777777700000000000000007770007777700777770700000000777777777777777777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777700000077777777770077777770000000000000000000000000000777777700007777779999999999999999999999999999999999999999000000000000000000000000000000000000007777000000000000000000000000000000777000000000000000000000000000000000000000000000770000077000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995599999999999999999999999999999955555555555555555555554444777777777770000000000000077700777777000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000077777777777777777770000000077000000000077700000777777770000000777999999999999999999999999999999999999999000700000000000000000000000000000000000077000000000000000000000000000000000000000000000000000000000000000000000000000000770000077700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555999999999999999999999999999999455555555555555555555555444477777777777700000000007770000777770000000000000000000077777777777777777777777777777777777777777777777077777777777777777700007777777777777777777777777777777777777777777000000077777777777770000000077777777000000000077000000777777777000000777999999999999999999999999999999999999900000777000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000000770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555999999999999999999999999999999455555555555555555555555444477777777777700000000007700000077700000000000000000000777007777777777777000777777777777777777777777770007777777777777777000777700777007777777777777777777777777777777770000000077777000000077777000777777770000000007770000000077777777770000777999999999999999999999999999999999999900000077700000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000070007700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555599999999999999999999999999999945555555555555555555555444477777777777770000000077000000077000000000000000000007777777777777007777770777777777777777777777777770777777777777777777777777000000077777777777777777777777777777777777700000000000000000077777770777777700000000000000000000707777777777000777999999999999999999999999999999999999970000000770000000000000000000000000000777770000000000000077700000007777000777777000000000000000000000000000000000000000000000007700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555599999999999999999999999999999955555555555555555555555444477777777777700000000770000077777000000000000000000077700000000000000077777777777777777770077777777777777007777777777777777777777777777777777777777777777777777777777777700000000000000007777777777000777700700000000000000077700777777777000777999999999999999999999999999999999999000000000000000000000000000000000000000777770000000007000007000000007777000777777770000000000000000000000000000000000000000000007777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999945555999999999999999999999999999999955555555555555555555555544477777777777700000077700007777700000000000000000077777000000000000000007000077777777777777777777777777777777777770077777777777777777777777777777777777777777777777777777770000000000000077777777777700000077777000000000000000000077777770000777999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000070000077777777000000000000000000000000000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555599999999999999999999999999999995555555555555555555555544447777777777770000077000000777000000000000000007777770000000000700000000000077777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777770000000077000000077777000007777000007700000000000077777700000077999999999999999999999999999999999900000000000000070000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000000000000000000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444555555999999999999999999999999999999555555555555555555555555555777777777777000070000007770000000000000000077770000000000000077000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000007770000000007777777000000000000077700000000000999999999999999999999999999999999000000000000000000000000000000000000000000000077700000000000000000000000000000000000077700000000000000000000000000000000000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444455555999999999999999999999999999999555555555555555555555555555577777777777007770000007700000000000000000777000000000000777777777700007777777700777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777770000070000000770777777777777000007770777700000000077000000000000999999999999999999999999999999900000000000000000000000000070000000000000000000077770000000000000000000000000000000000007700000000000000000000000000000000000000000000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997774444444559999999999999999999999999999999955555555555555555555555555577777777777007770000077700000000000000007770000000000007777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777700007777777777777777770000007777770000000000000000000000999999999999999999999999999999900000000000000000000000000770000000000000000000777770000000000000000000000000000000000000770000000000000000000000000000000000000000000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000007777777744599999999999999999999999999999955555555555555555555555555777777777770007700007777700000077770000000000000000000007777707777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777000000000000000000000000000770777999999999999999999999999999999777777000000000000007777700000000000000000000000007077000000000000000000000000000000000000770000000000000000000000000000000000000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000007777777744559999999999999999999999999999995555555555555555455555557777777777770077000077777770777777777777000000000000000000770777777777700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777000000000000000000000000007777777999999999999999999999999999900000000000000000000077770000000000000000000000000000000070000000000000000000000000000000000000000000000000000000000000000000000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000777777777774445999999999999999999999999999999555555555555555455444777777777777770000007777777777777777777777000000000000000000007777777777700000000077777000007707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077777777777777777770000077000000000000000000777707999999999999999999999999909000000000000000000000077700000000000000000000000000000000077700000000000000000000000000000000000000000000000000000000000000000000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900077777777777777444449999999999999999999999999999555555555555555554447777777777777770000777777777777777000000777700077770000000000000000007770000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777000999999999999999999999900000000000000000000000777777700000000000000000000000000000000000000770000000000000000000000000000000000000000000000000000000000000000000000000000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777444449999999999999999999999999999555555555555555544477777777777777777007777777770000700000000000000000000000000000000000000000000000000000777777777777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777770000000770000999999999999999999999000000000000000000007077777770000000000000000000000000000000000000077770000000000000000000000000000000000000000000000000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777444444777777777744444999999999999999999999999999955555555555555444777777777777777777777777777777777700077777000000000000000000000000000000000000000000077777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777700000000000007777000000000000000099999999999999999999000000000000000000000000000000000000000000000000000000000000000000007770000000000000000000000000000000000000000000000000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444444444777777744444499999999999999999999999999955555555555554447777777777777777777777777777777777777777777777770000777000000000000000000000000000000000000000077777777777777700777777777777777777777777777777777777777777777777777777777777777777700007777777777777777777777777777700000000000000000000000000000000099999999999999999990000000000000000000000000000000000000000000000000000000000000000000077777000000000000000000000000000000000000000000000000000000000000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993444444444455444477777444444499999999999999999999999999955555555555555447777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000007777777777700777777777777777777777777777777777777777777777777777777777777777777700077777777777777777777777777777777777770000000000000000000000000099999999999999990000000000000000000000000000000000000000000000000000000000000000000777777777770000000000000000000000000000000000000000000000000000000000000000000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993444444444455554444444444444449999999999999999999999999995555555555555447777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000077777007700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000999999999999990000000000000000000000000000000000000000000000000000000000000000000777777777770000000000000077700000000000000000000000000000000000000000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444455554444444444444449999999999999999999999999995555555555555447777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000077000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007000000000000000000000000000079999999999770000000000000000000000000000000000000000000000000000000077700000000777777000000077770000000007700000000000000000000000000000000000000000000000000000770000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444555554444444444444444999999999999999999999999995555555555555447777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000077777700000007770000000079999999907777700000000000000000000000000000000000000000000000000000007770000000777777770000077700000000000000000000000000700000000000000000000000000000000000007777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444445444444444444444433999999999999999999999999999555555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000077777777777700777770000000799999999000777777777000000000000000000000000000000000000000000000000000770000000007777777777777000000000000777000000000000000000000000000000000000000000000000007777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444444444444444444444433999999999999999999999999999555555555555444777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000007770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777700000777700000000000000077999990000777777777000000000000000007000000000000000000000007000000000070000000000077777777700000000000007770000000000000000000000000000000000000000000000000000777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444444444444444444444443344999999999999999999999999999455555555555447777777777777777777777777777777777777777777777777777777777777777777777777700000007700000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000707777700000000000000000000000007990000000777777777007777700000000000000000000000000000000077000000000077000000000000007770000000000000777777000000000000077770000000000000000000000000000000000777700
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444455544444444444444477733339999999999999999999999999999955555555555447777777777777777777777777777777777777777777777777777777777777777777770000000000000000077000000007000000000000000000000770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777000777000777777000000009900000007777777777707777777000000000000000000000077700000007000000000007700000000000000000000770000000000777000000000000777770000000000000000000007770000000000077770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444445555544444444444444477433399999999999999999999999999999955555555555447777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000777770000077777777777777777777777777777777777777777777777777777777777777777777777770077000077799997777777770777700000099000000077777777777777777777700000000000000000000077777000007000000000007770000007770000000007770000000000000000000000007770000000000000000000000000777007000077077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444455555544444444444444447444499999999999999999999999999999955555555555444777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777099997777770000077799700077700007777777777777777777777770770000000000000000077770000000000000000007777000777700000000007700000000077770000000000000000000000000000000000000000077777000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994445555555555444444444444444777999999999999999999999999999999995555555555447777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777000907700000000079999777777777777777777777777777777777777777777777700000000070000000000077000000007777077777000000000777700000000077770000000000000070000000000000000000000000007777700007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555444444444444444777999999999999999999999999999999995555555555447777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777000000077779997999999900777777777777777777777777777777777777777777777777000777000000000777770007777777777700000000077777700000000077700000000000000000000000000000000000000000000770777077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555554444444444444777999999999999999999999999999999995555555555447777777777777777777777777777777777777777777777777777777777777777777777777700000000700000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777000000777799997999999000777777777777777777777777777777777777777777777777007777770000000077770007777777777000000000077777700000000007777000000000000000000000000000000000000000000000777777700007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555554444444444777999999999999999999999999999999995555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777077770000000000000000000000000000000000000000000000000007777777770000777777777777777777777777777777000000777777777777777777777777777777777777000000000779999990999999077777777777777777777777770007777777000777777777777777777777700000077770000777777777000000077777777700000000000077777777000000000070000000000000000000000000000777777000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555544444444779999999999999999999999999999999995555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000777777777700077777777777777777777777777777777777777777777777777777777777777777777770000000000079999999009777007777777777777777000007770000000777000000000077777777070000000000007700000777777777000000777777777700000000077007777770000000000000000000000000000000000000000077777000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999755555555555555555555554444447779999999999999999999999999999999999555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777000000000779999999000000000000007777700000000000000000000770000000000000777777000000000000000000000007777770000000000000077000000000077777007770000000000000000000000000000000000070000077777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999555555555555555555555554444447777999999999999999999999999999999999555555555447777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777007777770000000077799999999000000000000000000007000777770000000777770000000000000007777000777700000000000000000777770000000000000077770000000770077000000000000000000000000000000000000000070000000777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555544444777777999999999999999999999999999999999555555555444777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777000000000077999999900000077777770000000077777777777777777777777777000077000077777777777777777770000000000077700000000000777777777700000000007700000000000000000000000000007770000000070000007777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999955555555555555555555544444777777799999999999999999999999999999999955555555444777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777700077777777777777777777777777777770000000007779999999777777777777777007700077770777777777777777777777777777777777777777777777777700000000000077777700000000777777777700000000000770000000000000000000000000077777000000007000777770000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555555554444447777777799999999999999999999999999999999955555555444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000077777000000000000000000000000000000000000000077777777777777777777777777777777777700000077777777777777777777777777777770000077999999999997077777777777777007777777770000000000707000077777777777777077777077777777777000000000000007777777700700000077777777000000000000000000777700000000000000007777700000000000077700000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555555554444477777777799999999999999999999999999999999955555555444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777700000000000000000000000000000000000000007777777777777777777777777777777777777700070077777777777777777777777777777779979999999999900007777777777700000000777770000000000000000000077777000000077700000777777000000000000000000000777777770000000000777700000077000070000077770000777000000007777700000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999995555555555555554444444777777777799999999999999999999999999999999995555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000077777707777777777777777777777777777777770000777777777777777777777777777779999999999999900077777777777770000007777777700000000000000000007770000000077770000077777000077700000000000000007777770000000000077700000000000077000007700000777777700000770000777770000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975555555555555444444777777777777799999999999999999999999999999999999555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000070000777777777777777777777777777777770000777777777777777777777777977777999999999990000077777777777777777777777777777770700000000000007770000000077777000007777770077770000000000000007777777000000000007777000000000000000007700000007777700000077000077777000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997444555555555444777777777777777779999999999999999999999999999999999555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000700077777777777777777777777777777770007777777777777777777777777770077999999900000007777777777777777777777777777777777777000000000000007777700007777770007777777777770000000000000000777777700000000000077770000000000000000000000000000000000077700000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944455555544447777777777777777779999999999999999999999999999999999955555554447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000700000777777777777777777777777777777777777777777777777777777777700079999900000007777777700777777777777777777777777777777000000000000000007770007777777777777700000777077770000000000007770000000770000000000000000000700077007000000000000000007770070777770077777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999994444444444477777777777777777779999999999999999999999999999999999995555554444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777700000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777770009999900777777777777700077777700777007777777777777770000000000000000000077700777777777777700000077777770000000000007700000000777700000000007770077770777777700000000000000000770007777700007777777000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997744444444477777777777777777777799999999999999999999999999999999999995555555444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777700000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777770700777777777777700007777000777077777777777700000000000000000000000077777777777777777770000007777000707777707007777000000777777700000007770077700007777000000000000000000000000777770000777777770
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444444447777777777777777777777799999999999999999999999999999999999999555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000077777777770000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777770077777770000000077777777000000000000077777777777777777777777700000000000000077777000000000777770000000777700077777777777777777000777777770000000000007700077000000000000000000077777000000000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999744444444477777777777777777777777799999999999999999999999999999999999999555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000007777777000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777700000000070770000077777777770000000000777777777777777777777777777707077700000077777000000000777777700000000007770000000700000777770000077777770000000007777770000000000000000000007777777000000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999444444447777777777777777777777777799999999999999999999999999999999999999955555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000007777777777000000000000000000000000000000000000000000000000777777777777777777770000007777777777777777777777700000000777770000077777777777000007077770000077777777777777777777777777777700000000000000000000777770000000007700000007700000077700000000077777770000007777770000000000000000000000777777000000000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944444777777777777777777777777777799999999999999999999999999999999999999955555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777000000000000000000000000000000000000000000000000077707707777777777770000000077777777777997777000777000077777700007777777777707777777777000000777777777770000000007777777777700000000000000000000007777000000000000007777770000000000000000000077777700007777777000000000000000000000007777770000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999995555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777700000000000000000000000000000000000000000000000077000000077000777700000007777777777777997777000077777777777777777777777000007777777777000077777007777777000007777777777777000077777777777000000007777000777000000000770777700000000000700000000077777707777777777777000000000000000000777770000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999995555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777000000000000000000000000000000000000000000000000777770707770000000000070077777777777777997777770077777777777777777777770077777777777770000077700007777777777777777777777777777777700007777700000000700007777700000000000077777700700000000000000000777777770007777777000000000000000000777777000077707777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999995555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777777777770000000000000000000000000000000000000000000000000777777777770000000000000000000777777777777777777777777777777777777777777777777777777000007777000007777777777777777777777777777777000000000000000000000000077000000000000077777777770000000000000000007777700000000000000000000000000000000777000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000777777777777000000000000000000000007777777777779977777777777777777777777777777777777707777777770007777777777007777777700077777777770700000000000770000000000700000000000007777770770000000000000000000777770000000000000000000000000000000000000070077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999555555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000777777777777777777777000000000000000000077777777799997000000000000777777777777777777777777777777770077777777770007777777700077777777777777700007777777700000000700000000000000777000077000000000000000000777770000000000000000000000000000000007000777770700777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999955555447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707000000000000000000000000000000000000077777777777777777777700000000000000000007777777799900000000000777777777777777777777777777777777777777770000000007777777770000777700000777770077777777777777700000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777799999999999999999999999999999999999999999955554444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000077777777777777777777777000000000000000000007777999000000000077777777777777777777777777777777777777777000007770000777777770000007770000000777777777777777777770000000000700000000000000000000077000000000000000000700000000000000000000000000000000007777000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777999999999999999999999999999999999999999999955554444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000777777777777777777777777777700000000000000000009999000000000777777777777777777777777777777777777777777777777777000077777700000007777770000007777777777007777777000000000000000000007000000000777777700070000000000000000000070000000000000000000000007777000777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777999999999999999999999999999999999999999999995544455477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000077777777777777777777777777777000000000000000009999000000000000007777777777777777777777777777777777777777777777777777777700000077777777000000777077000007700007700000000000000000000077700007777777777770000000000000000000000000000000000000000000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777999999999999999999999999999999999999999999995544555547777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700770000000000000000000000000000000000000777777777777777777777777777700007770000009999000000000000000000077777777777777777777777777777777777777777777777777770000077777777777007000000000000000007770000000000000077007777700007777777777700000000000000070000000007000000000000000000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777999999999999999999999999777777777777799999999545555555777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000077700000000000000000000000000000000777777777777777777777777777777777770007779997777770000000000000000077777777777777777777777777777777777777777777777777700777777777777777700000000000000007770000000000077777777777000077777777700000000000777700777000000077700000000000000000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999973337777777777777777777777777777777999999999999999999999777777777777777777779999555555555477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000077700000000000000000000000000007777777000777777777777777777777777777777777770007777777000000000000000777777777777777777000777777700077777777000077777777777777777777777777777777700000000077770000000007777777777777700077777777700000000000777777000000000077700007700000000000000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999973337777777777777777777777777777779999999999999999999997777777777777777777777799555555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777707777700000007777777770000000000007777777777777777777777777777770777777777799970000007770000000000000000777777777777777777700777777770007777770000777777777777777777777777077777777770000000777770000000007777770007777700007777777700000000000000000000000000077770000770000000000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999973337777777777777777777777777777779999999999999999999777777777777777777777777799974555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777770000000000000000077777777777707777777777777000777777777779900000007777000000000000000777777777777777777770777777777000777770007777777777777777777777777700007777777000000777777000000777700000000077700007777777770000000000000000777000000000070000000000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333777777777777777777777777777799999999999999999999777777777777777777777777777997555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000007777770777700000000777777777777777777777777900777777777700000000000000007077770777777777777777777777700777770007777777777777700000077770000000077777770007777000000077770000000000007777777777777700000000007777000000000000000000000000000000000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333777777777777777777777777777799999999999999999999777777777777777777777777777799755554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777000000000000000000777777777700000000777777777000000777777777777770077777700000000000000000077777777777777777777777777777777777000777777777777700000007700000000000777777007777770000000000000000000007777000000077770077000000007000000000000777000000000007700000070000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333777777777777777777777777777799999999999999999999777777777777777777777777777779997774477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007700000000007777777700000000007770000009900077777777777770007777777777770000000000777777777777777777777700007777777777700077777777777700000007700000000700077777777770000000070000000000000007700000000707770000000000000000000000000077770000770007770000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333777777777777777777777777777799999999999999999999777777777777777777777777777777799777477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077700000000000777777777000000000000000000990797777777777777777777777777777077700077777777777777777777777700000007777777777707000777777000000777777777000070007777777777000077777777000000000007770000000777700000000007770000000000700007770000777000770000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933327777007777777777777777777777999999999999999999999777777777777777777777777777777779977447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777700000000007077777777770000000000000000077999777777777777777777777777777777777777777777777700007777770000000000777000077770000777770000077777777777000070077777777777777777777777770000000777770000000777777000000007770000000000000007770000077000000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333322770007777777777777777777779999999999999999999997777777777777777777777777777777777977447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777770000777777777777700707000000000000077777997777777777777777777777777777777777007700777777700000000000007770000770000777777000777700000777777777777700777777777777777777700077777777777777770077777777777777000000077000000000000007000000000077000000000000000007777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333222000000777777777777777777799999999999999999999977777777777777777777777777777777777797447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000077799777777777777777777777777777777777777777000777777777777777000777777777777777777777770077770077777777700000777777777777777777777000000777777777700000007777777777777000000077700000000000077700000000077000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333000000000077777777777777777779999999999999999999777777777777777777777777777777777777794444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000777777777777777777777777777777777007777777777777777777777777777007777777777777770077777777777770007777770000077777777777777777777777700000000777700000000000077777777777000000007777777000000777700007000077000000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333300000000777777777777777777779999999999999999999777777777777777777777777777777777777799554777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777770000000000000000000777777777777777777777777777777777000777777777777777777777777777777777777770777700007777777777777000777700000777777777007777777777777700000000007700007770000000777777770000000000777777777000777700000000007700000000000000000077
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944333300000007777777777777777777777999999999999999997777777777777777777777777777777777774444554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000770700000000000000000000077777777777777777777777777777777777777777777777777777777777700777777777777777000000777777000777777077777777777777700000077777700007700000000077707777700000000007777770000007007777777700000007770000000007700000000000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999944333320000007777777777777777777777799999999999999997777777777777777777777777777777777774444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000007777777777777777777777777777777777777777777777777777777777770000777777777777770000000077777000777777007777777777777700000077777777770777000000077777770000000000000777777770007777777700000000000777007700000000000000000000000007
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333200000077777777777777777777777799999999999999997777777777777777777777777777777777774444444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777000000000000000000000000000000007077777777777777777777777777777777777777777777777000777700077777777777777700000000000000000777777000077777777770777700077777777777777777770077777000000000000000777777777007777777770000000000077777700007000000000000000000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933332200000077777777777777777777777779999999999999977777777777777777777777777777777777774444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000070000000000000000000000000777777777777777777777777777777777777700777777777700777777777777777777777000777700000000000777777777077770000000000777777777777777777770777777000000000000000000770007777007777007700770000000000777700777000000000007777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999334432000000077777777777777777777777777999999999999777777777777777777777777777777777777774444444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000007000000000000000000007777777777777777777777777777777777777777777777777777777777777777770007700077777000000000077777777777777777770000000777777777777777777000007777700000000000000007777000077700777000700077000007777770000077777000000077777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993344433000000777777777777777777777777777799999999999777777777777777777777777777777777777744455444447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000077707770000000000000000000077777777777777777777777777777777777777777777777777777777777777777000000000777777000000000077777777777777777777770000007000000777777777000000007770000000000000077777700000000077000770007770777770000000077777000000777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999333443330000000777777777777777777777777777799999999997777777777777777777777777777777777777744555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007770007777777007700000000090000000077777707777777777777777777777777777777777777777777777777777777777770000000000777777000000000007777777777777777777777700000000000000777777700000000000000000000000077777770000000077777770077777777700000000077777000007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333333333000007777777777777777777777777777799999999997777777777777777777777777777777777777744555555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000077777777000777777777777777777777777777777777777777777777777777777777770000070000077777770000000000077777777777777777777700000000000000007777770000000000000000000000000077777700000007777777777777007000000000077777000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300333333337000007777777777777777777777777777779999999997777777777777777777777777777777777777745555555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007700000007000000777007777777777777777777777777777777777777777777777777777777777777777777000077000000777770000000000077777777777777777777700000000077770000777770000000000000000700000000000777700000000077777777777000000000000007777000077777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000033333330000007777777777777777777777777777779999999977777777777777777777777777777777777777744555555554477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777770777777007777777777777777777777777777777777777777777777777777770000000077777700077777000077700000770000077777777777777777777770000000777700000077770007770000000077777770000000007777700000007777777777000000000077777777000000777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200000333332200000007777777777777777777777777777779999999977777777777777777777777777777777777777774455555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977700077777777777777777777777777777777777777777777777777777777777000000777777700077777777777700000000007777777777700000077777777770000000000000077770000070000000007777777000000070000770000007770007777777777707777777770000000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992200000000000000000007777777777777777777777777777779999999777777777777777777777777777777777777777774455555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777990000000070000007077777777777777777777777777777777777777777777777777770777777000777777777777770000000077777777777700000077777777777700000000000007770000077777000077777777000000070000770000007777777777777777777777777770000000000000777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933220000000000000000077777777777777777777777777777779999999777777777777777777777777777777777777777744455555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000007777777777777777777777777777777777777777777777777777777777000777777777777770000000000000077777770000777777777777770000007700077777000077777777777700777700000000007770700007777777777777777777777777777700000000000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999333227700000000007777077777777777777777777777777777779999999777777777777777777777777777777777777777444555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000777777777777777777777777777777777777777777777777777777777700007777000777770000077770000077777770000777777777777777000000777777777770777777777700000007777700000077000000007777777770777777777777777777777000000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333777770000000000777777777777777777777777777777777799999999777777777777777777777777777777777777444445555555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000077777777777777777777777777777777777777777700077777777770777077770007777777777777700007777777770000077777777777000000000077777777777777000700000000007777777777777000000007777777770077777777777777777007700007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333302777770000000000777777777777777777777777777777777999999999777777777777777777777777777777777444444455555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000077777770077777777777777777777777777777777770777777007700007077770007777777777777777777777777770000007777777777000000000000000000770770000000770000077777777777777000000007777777777777777777777777777007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933333300777700000070007777777777777777777777777777777777999999999777777777777777777777777777777774444555555555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000077777770777777777777777777777777777777777777777777707770000000000077777777777777777777777777700000000777777777777000000000000000000000000000007000007777777777777000000000777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999333334330007000777777777777777777777777777777777777777779999999999777777777777777777777777777777744555555555555555544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777700077770000000777777777777007777777777777777777777777777770000777777770000000007777777777777777777777777777000000000000777777777700000000000777777000770000000000000007777777700000000000777777777777777777007777777777777707777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999333333330000000777777777777777777777777777777777777777779999999999977777777777777777777777777777444555555555444444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779777777777777777700000007777007777777777777777777777777777777777777777777777777770000000777777777777777777777777777000000000000000077777777770000000000007777777770000000000000007777777700000000000777777777777777777707777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333333300000000077777777777777777777777777777777777777799999999999977777777777777777777777777777455555554444447444477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777770000777777777777777777777777777777777777777777777777770000007777777777777777777777777770000000000000000000777777777700000000000777777777777700000000777777777700000000000777777777777777777707777777777777777707777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999923332222200000000007777777777777777777777777777777777777799999999999997777777777777777777777777777455555544777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777700000000000777777777777777777777777777777777077777777700000007777777777777777777777777770000000000000000000777777770777700000000077000007777700000000000777777770000000007777777777777777777777777777777777777000077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999920000222200000000000777777777777777777777777777777777777799999999999999777777777777777777777777774445554447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779777777777777777000777777077000000000000007777777777777777777777777777777777777777777777777000007777777777777707777770000077700000777770000000000007770000000007700007777770000000000077777777000000007777777777777777777777777777777777777700077777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999200000022200000000000077777777777777777777777777777777777999999999999999777777777777777777777777774444544477777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000777777777777777777777777777777777777777777777770000000007770000000000777770000077000077777777700000000000077777777777770007777777000000007777777700000000000777777777777777777777777777777777777777707777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999300000000200000000000007777777777777777777777777777777777799999999999999997777777777777777777777777444444777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000077777777777777777777777777777777777770000770000000000000000000777777777000077777777777000000000000777777777777077777777777700777777770000000000000777777777707777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999992200000000000000077007007777777777777777777777777777777777999999999999999999977777777777777777777777777447777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000777777777777777777777777777777777000000000000000000000000077777700000007777777777700000000000077777777700777777777777777777777770000770000007777777777700777777777777777777777777777770777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999902000000000000000077777777777777777777777777777777777777777799999999999999999990007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777997777777777777777777777777777777777700000000000000000000000000000777777777707777777777777777777777700000077777770007777700007770000000077777777777777000000700000777770000000000777770077777777777000000000007777777777777777777777777777777777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000007777777777777777777777777777777777777777799999999999999999999700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777997777777777777777777777777777777777700000000000000000000000000000077777777000077777777777777777777777777777770000007777000077777700007777777777777777777707777700007777700000000007700000777777777777770000007777777777777777777777777700077777777777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000777777777777777777777777777777777777777777799999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777770777777700000000000000000000000700077000700007777777777777777700077777000000007700000777777777777777777777777777777777777770000007777000000000000000777777777777777700000777777777777777777777777700007777777777000000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000077777777777777777777777777777777777777777777779999999999999999999900077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000007700000007777777777777770077700000000000000000777777777777777777770007777777777777777777000777770000070000000007777777777777770000777777777777077777777777700007777777777700000
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993000000000000000000077777777777777777777777777777777777777777777779999999999999999999900000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000777777777777777777000000077700000007777777777777777777777700000000777777777777777777777700077700000000777077777777777000777777777777000000777777700077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933000000000000007770007777777777777777777777777777777777777777777779999999999999999999900000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000007777777777777777000000077700000000077777770000077777777700000000077777777777777777777770077777777007770000007777777000777777777777700000077777700077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999993333000000000000000777770077777777777777777777777777777777777777777779999999999999999999900000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000777777777777770000000077700000000000007777000007777777770000000000077777777000000000777777777777777777000007777777000077777777777770000777777000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933000000000000000000077777077777777777777777777777777777777777777777779999999999999999999990000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000777777777777777700000000000000000000000777000007777777770000000000007777700000000000077777777700000777700077777777770077777777777777000777777000007707777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999933000000000000000000077777777777777777777777777777777777777777777777799999999999999999999999000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779997777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000777777777777777000000000000777777000077000007777777777000000000000777770000000000007777777777000777770007707777777777777777777777770077777000007770777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999930000000000000000000777777777777777777777777777777777777777777777777799999999999999999999999000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777777777777777777777777777777777777007777777000000000000000000000000000000000000000000077777777777777777770000007777777770077770777777777777770007770000007777000000000077777777777777777777777700777777777777777777777770007777770007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000077777777777777777777777777777777777777777777777999999999999999999999999900077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799997777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000007770000000000777777777777777777700077777777777777777777777777777777777770000000077700000000007777777777777777777777700077777777777777777777770000777777000770777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000077777777777777777777777777777777777777777777777999999999999999999999999999977977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799977777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000007770000000000077777777777777777770007777000007777777777777777777000777777700000777770000077777077700077777770077707777777777777777777777777777000777777777777007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000077777777777777777777777777777777777777777777779999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777077000077770000000000000000000000000000700000000777777770777777777777770000000000007777000077777777770000777777777777777700000077777777700007777777000000777777777777777770777777777700077777777777700777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000777777777777777777777777777777777777777777777777779999999999999977799999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777770000000007777770000000000000000000000000000000777777777000000007777777700000000000007700000007777777770000777777777707777770007777777770000007777777700000777777777777777770777777777700077777777777000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000077777777777777777777777777777777777777777777777799999999999997777799999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000077777000000000000000000000000000077777770000000000000007777000000000077777700000007777777777700777777770000777777707777777770000000000077777000777777777777777770077777777700077777777770000077777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000700007777777777777777777777777777777777777777777777799999999999977777779979999999999997700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777777700000000000000000000000077777000000000000007707777000077777777777700000007777777777777777777777700000077777777770000000000000007777777777777707777777700077777777770077777777770000007777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000777777777777777777777777777777777777777777777777777799999999999977777777777770079999997777770777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777770000000000077777770000000000000000000000000000000000000000007777777700077777777777770007777777777777777777777777777770000700777000007000000000777777777777777007777777000777777777777007777770000000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000777777777777777777777777777777777777777777777777777777799999999999777777777777777777999997777700007700000077777777007777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000777770000000000000000000000000000000000000000000007777777007777777777777777777777777777777777777777777777700777777777077700007777777777777777777770000007000077777777770000777700000077777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000077777777777777777777777777777777777777777777777777777799999999999007777777777777777799999777770000000000007777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777000000000000000000000000000000000000000000000777777770077777777770777777777777777777777777777777770000777777777777770007777777777777777777777000000000007777777770000077770000007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000077777777777777777777777777777777777777777777700007777799999999990000077777777777777799999777777000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000777777777777777770000007777777777777777777777777777000000777777777777770007777777777777777777777777777000007777777777000077777777007777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000777777777777777777777777777777777777777777777770077779999999900000000777777777777799999977777777000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000777777777777777000777777777777777777777777777777000000777777777777777777700777777777777777777777777770007777777777700007777777000777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000077777777777777777777777777777777777777777777777700079999999970000000777777777777779999777777777770000000077777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000777777707777777777777777777777777777777777770000000077777777777777777770777777777777777777770007777007777777777770007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000700000777777777777777777777777777777777777777997777777777779999999970000077777777777777777997777777777777700000007777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777700000000077777777770000077770777777777777777777777007777700077777777770000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000007770077700077777777777777777777777777777777777777977777777777779999999700000777777777777777777977777777777777777000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777700000000077777770000000000777777777777777777777777700777770007777777777000777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000077777777777777777777777777777777777777777777777777777777777777999999700000777777777777777777977777700777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777700000007777777770000000000000000000777777777777777700007777077777777777000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000077777777777777777777777777777777777777777777777777777777777777999999700700007777777777777779977777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000077770077777777777777777777777777077777777077777000000777000000000777777777777777700000077777777777777000007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000007777777777777777777777777777777777777777777777777777777777777777999999777700000007777777777777977777700077777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777077777700000000777777777777777000000777777777777777777000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000777777777777777777777777777777777777777777777777777770007777777999997777770770000777777777777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777700000007777777777777777700007777777707777777777700007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000077777777777777777777777777777777777777777777777777777777777777779777777777777007700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777700000007777777777700777770007777777000777777777770007777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000077777777777777777777777777777777777777777777777777777777777700779777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000700770000000000000007700000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777000007777777777007777777777777777000777777000077777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000007777000007777777777777777777777777777777777777777777777777777777777707777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777000007077777777777777777777777777777777777777777777777777777777779999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777770007770000000000000000000000000000000000000000000000777777070000077770007777777777777777777777777777777777777707777777777700777777777000777777777777707000770000000007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000077777700700007777777777777777777777777777777777777777777777777777777777777777777777777777777007777700077777777777777777777777777777777777777777777777770077700007777000777777777777777777777777777777777777777777777777777777799999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777777777777777707777777770000000000000000000000000000000000000000000000007777777777777777077777777777777777777777777777777777777700000777777770070077777000777777777700000777770000070000777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000077777777770007777777777777777777777777777777777777777777777777777777777777770777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777777777777777777999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777700000000000000000000000000000000000000000000000000777770777777777777777777777777777777777777777777777777777000000007777000007777000077777777700007777777777777007777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000077777777777770007777777777777777777777777777777777777777777777770070000777770000077777777777777777777077777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777779999977777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777000000000077700000777000077707777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000007777777777777777777777777777777777777777777777777777777777777777777700077777000000077777777777777777777777777777777777777777777777777777777777777777777777777700777777770070777777777777777777777777777777777777777777777799999777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777700000000007770000777777777000077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777770077777077007007770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777777777777777777777777777777999977777777777000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000077700000000000000000000000007777777777777777777777777770777777777777777777707777700007700777000777777777000077777777777077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000007000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777007777777000077777777777777777770077777777777777777777770000000000777700007777777777777000077000777777777777777777777777777799777777777777777777777777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000077777770000000000000000000000077777777777777777777777777777777777777777777770000007777707700777700777777777000077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000007777777000000000000000007777777777777777777777777777777777777777777777777777777779977777777777077777777700077000007777700077770077777777777777777777777777777777777777777777777777700000000000777777777777777777777777799999997777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000777777777777777777000000000000000000000000077777777777777777777777777777777777777777777000007777770000000007777777770000077777000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000077777777777777777000007777777777777777777777777777770000777777977777777777977779997777777777777777700777777000007777770077777777777777777777777777777777777777777700777777777770000000000077777777777777777777777777999999977777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000007777777777777777777000000000000000000000000000777777777777777777777777777777777777777777000007777777000007077770007777000007777000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007777777777777777777700777777777777777777777777777777700077779977777777777979999999777777777777777770077777000007777007777000777777777777777777777777777777777777770000077777770777777077777777777777779977777777779999999977777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007777700000000000070007777777777777777777700000000000000000000000000077777777777777777777777777777777777777700000000777777000777777770000077000000000000007770007777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000777777777777777777770077777777777777777777777777777777777779977777777777999999999997777777707777777777007000777777777770000777707777777777777777777700000000077777770777777777777777777707777777777779977777777799999999900007777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007770000000000007777000077777777777777777770000000000000000000000000000777777777777777777777777777777777777777000000000077700777777777700077000000000000007777000007777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000077777777777777777770077777777777777777777777777777777777779700777777777999999999999777777700000077777000777777777777777000777707000077777777777777777777777777777777777777777777777700000777777777779997777777999977777777000777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000777777777777777770000000000000770000777777777777777777777000000000000000000000000000777777777777777777777777777777777777777700000000777000070000077777000007700000000000000770077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000077777777777777777777777777777777777777777777777777777777777777977777779999999999999900000000000077707000007000007777777777777777700000000077777777777777777777777777777777777777777777000077777777779999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707000000777777777770000000000000000007777777777000000077777770000000000000000000000000770000077777777777777777777777777777777770000000777770000000077777000077700000000000000777077777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000077777777777777777777777777777777777777777777777777777777777779999777779999999999999990000000070000000000000770000007777777777777777777777007777777777777777777777777777777777777777777777777777777999999999999000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000777700000000777777700000000000000000000000000000077777777777777707777777777777777777777000000777777000777777777000777770000000000000777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000077777777777777777777777777777777777777777777777777777777777779999777779999999999999999000000077707700000000070777707777770007777777777777707777777777777777777777777777777777777777777777000777779999999990000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700007770070000000777000077000077777000000000000000000000000000000777777777777777700777777777777777777777770000000000000777777770000777777000000000000077777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000007777777777777777777777777777777777777777777777777777777777779997777779999999999999999900000000777777777000000000077777700007777777777777777777777777777777777777777777777777777777777700007797799999999000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000777777000000777777777700000000000000000000000000000000000000777777777777777777777777007777777777777770000000000000000777770000007777700000000000007777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777999999999999999999000000077777777700000000000000000077777777777777777777777777777007777777770777777777700000000000777799999999990000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000777777777777770000000000000000000770000000000000000777777777777777777777777707777777777777777077700000000000777777700007777770000000700007777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000007700000000007777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999707777777777777700777000000000000000077700000077777777777777777777777700000777000077700000000000777799979999900000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000077777777000000000000000077777777770000000777777777777777777707777777770777777777777777777777777000000077777777007777777000007770777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000007777770000000777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999977777777777777777777777700070000000000000000000777777777770077777777700000777000000000000000000779999770990000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777700000000000000077777770000000000000000007777777777000077777777777777777777770007777777777770777777777777777777000000007777007777777770000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000007777777777000777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999997777777777777777777777777777000000000000000077777777777777777777777777770000000000000000000007999999700000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777770000000000700077777000000000000000000000777777777777700077777777000077700700000777777777000007777777000777700000000000000000077777770000007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999777777777777777777777777777777777777777777777000000000777777777777777770000000000000000000079999997000000000000000000000700000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777777777777777777700000077777777777000000000000000000000077777777777770000000000000000000777777777777770000000777777000000770770000000070000000077770000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999977777777777777777777777777777777777777777700000000000077777777777000000000000000000000099999999977000000000000007777777777700000777777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777000000077777777777777777777777777777777777777777777770000000000000000000700077777077777770000000000000007077777777777777777000000077777000000777777700000777000000007770000000077777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999997777777777770000777777777777700777000777700000000000000000000700000000000000000000700077999997700000000000000007700077777000000077777777777777777777777777777777777777700007777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777777777777777007070000007777000000000000000000077770007777777777777000000000777777777777777777777777777777077777777777777777777777777000000077777000000777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000070770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999777777777700000000777777777007777007777777700000000000000000000000000000000000000777777999000000000000000000000070077770000070077777777777777777777777777777777777777700007700777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777777777777000000000000700000000000077000000007700000000007777777000000077777777777700777777777777777777777777777777777000077777777700007777777770007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000077777707000007777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999977000077777777000077000000777777777777777700000000000000000000007000000000777777777979990000000000000000000777007007770000077777777777777777777777777777777777777777770777000077777777777777777777777777777777777777777777777777777777777777777777777770000000777777777777777777777777000000000000000000000000000000000000000000000007777777000000077777777700777777700777777777777777777777777777700000777777777700000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000070777777777000000777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999770000077777777777000700077777777777777777000000000077000000777707770077777777797999990000000000000000000777700000077000007777777777777777777777777777777777777777777770000077777777777777777777777777777777777777777777777777777777777777777777000777777700777777777777777777777777770000000000000000000000000000000000000000007777777770000000077777777777777777007777777777700077777777777777700000007777777000000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000007777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999977000777777777777777777777777777777777777777770000070777777777777770777770077799977777770000000000000000777770077777777000777777777777777777777777777777777777777770000000007777777777777777777777777777777777777777777777777777777777777777770000007777700777777777777777777777777777700000000000000000000000000000000000000077777777700000000007777777777777777777777777777000777770007777777700000000077777700000077777700777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999770777777777777777777777000777777777777777777777777777777777977777777700777999777777777000000000000000007777777707777777777777777777777777777777777777777700077770000000007777777777777777777777777777777777777777777777777777777777777777700000000070000077777777777777777777777777777000000000000000000000000000000000000077777777700000000000077000077777777777777777777777777777777777777770000000077777770777777777007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000777777777777777777777777077077777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999997777000007777777777777777777777777777777777777777777777779997777777777777997777777777777707000000000007777777700777777777777777777777777777777777777777700007777007770007777777777777777777777777777777777777777777777777777777777777700000000000000000007777777777777777777777777777000000000000000000000000000000000000077777777770000000000007000077777777770000777777777777777777777777777700000077777777777777777007777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000007777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999770000000007777777777777077777777777777777777777777777799999999797777777777777770077777777777700000000777777777777777777007777777777777777777777777777777770777777770000777777777777777777777777777777777777777777777777777777777777700000000000000000000777777777777777777777777777700000000000000000000000000000000000077777777770000000000777000077777777777007777777777777770007777777777777700077777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000777777777777777777777777777770700777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999997000000000000000007777777700777777777777777777777777999999999777777777777777777777777777770000000000007777777777777777000777777777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777000077777777777777777777777777777777777777777777000000000000000000000000000000000077777777770000000000777000007777777777777777777777777770000777777777777770007777777770000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000007777777777777777777777777777700077777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999777777700000000000077777777777777777797777777777777999999977777777777777777777777777777777000000000000777777777777777707777777777777777777777777777777777777777777000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000077777777777000000007770000000077777777777777777777777770007707777777777700007777777770000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000077777707777777777777777777777777777777007777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777700000000000000007777777777777999777777777799999777777777777777777777777777777777777770000000007777777777777777777777777777777777777777777777777777777777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000077777700700000077777700000077777777777777777777777777777777000007777777000007777777700000007777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999700000000000000000000007777779997777777777999977777777777777777777777777777777777777777077700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000070000000007777777700000000077777770000777777777777777777777777777770000000007777777700077777777000000000777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999970000000000000000000007999970000777779997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000077000000000777777700000000007777777770077777777777777777777770077777000000000007777777777777700000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999990000000000000079999700000000799977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000077777700000077777700077770000770077777777777777770007777777700000000777777777777700000000777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000007000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999990000000000000999999700000007799970007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000077770007000000000007777000000000000077777777777777777777700000077777777777777770000000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007777070007777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777777999999999999999999999999999999999999999999999999999990000000000009999997000000009999000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000007777700000000000007777777777777777777700000077777777777777777700000077777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999997000007799999970000000799997000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000070000000000000007777777700770000000777777777777777777770000007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999900000079999700000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000077700770000000000700000777700077777700000777777777777777777770007777777700007000007000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999000000799970000000007777700007777999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777000000000000000000000000000000000000000000000070000077000000077770000077000000007770000777777777777777777770077777777770000000000770777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999000000799900000000000007777777999999777777777777777777777777777777777777777777777777777777777777777777777777777000777777777777777777700000007000777777777777777777777777777777777777777777777777777777777777777777777777777777000777000000000000000000000000000000000000000000000000000000000000000077777000000000000000077000777777777777777777770777007777770000777770000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999000000799900000000000000000007999977707777777777770777777777777777777777777777777777777777777777777777777777777007777777777777777777770000000007777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000007777700000000000000000000777777777777777777770000007777770000077770000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999900000070900000000000000000000007777007777777777777700777777777777777777777777777777777777777777777777777777777007777777777777777777700000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000770000000000000000000000000000000000000000000000000000077700000000000000000000077777777777777777777000007777777000007770000077777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999977000000900000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000777700000000000000000007000000007700000000000000000000777770000000000000000000000007777777777777777000000777777700000007000777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000770000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000077770000000000000000077000000000700000000000000000000777770000777000000777777000000777777777077777700707777777770000007770777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999790000000000000007000000000777000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000770000000000000000000000000000000000000000000000000000000077700007777777700007777777777077777777777777777777700077700777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000009900000000000000000000700777700777777777777777777777777777777777777777777777777777777777777777777777777777777777770077000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000000000077700777770007777777777777777777000777777777770000007777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777000777777777777777777777770077000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000007777777700000000000000000000077777000777777777777777777777777777770777777777000000007777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999900000007770000000000007777000000000000000000777777777777777777777777777777777777777777777777777777777777770777777777777777777777770000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000777777770000000000000000000000007707777777777777777777777077777777777777777777000077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777779997777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999090000799997000000000007777777777700770000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000007770000000000000000000000000077777777777777777777777777777777777777777777770077777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777999999977777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999909777997000000000000000007777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777700007700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000077777777770000000000000000000007777777777777700777777777777777777000000777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999975599999997999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777999999999777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000777777777077777777007770007777777777777777777777777777777777777777770007000777777777777777777777700077777700077707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000077777777777000000077700000000000777770777777700007777777777777777777000077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999775599999777799999999999999999999999999999999999999999990000000000000000000000000000000000000007700000000077777777777777777777777777777777777777777777777777777777777777777799999999999999777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000777700007000000077000000077777777770007777777777777777777777777770000000070077777777777777777700777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000007777007777700000777777000000007777777777777777777777777777777777777770077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777999977777999999999999999999999999999999999999999999000000000000000000000000000000000000000077777770000000777777777777777777777777777777777777777777777777777777777777777779999999999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000077000000000000000707777777700000077777777777777777777777000770077007777777777777770000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000777777777000000777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977779999777779999999999999999999999999999999999999999000000000000000000000000000000000000000000007777777000000007077777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000077700000000000000000000000077777000000000000000000777777700077777777777777777777777777777777777777777777777770000070777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000077777777777777000077700777000000777777777777777777777777777777777770077777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777797777770079999999999999999999999999999999999999900000000000000000000000000000000000000000000000000777700000777007777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999790999900000000000000000077000070000007777777000000007770000000000000000007700000000077777777777777777777777777777777777777777777770000777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000777777077777777000077770777000000077777777777777777777077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999979777999977700079999999999999999999999999999999999999000000000000000000000000000000000000000000000000000777777077777700077777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999990099990000000000000000000000000000000007777777777777777777777770000000000000000000000777777777777777777777777777777777777777777777770077777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000007777777700777770007777777777777707777777777777007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997779709000000079999999999999999999999999999999999900000000000000000000000000000000000000000000000000000777777777777770000777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999900000099999999000000000000000777777770000000000000000007707777777777777777777770000000000000700000000777777777777777777777777777777777777777777777777777777770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000777777777777770000777777777777000777777777777077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779000000000079907999999999999999999999999999999000000000000000000000000000000000000000000000000000000077777777777777700077777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999990000000000000077700070000007777777777777777700000000000000000007777777777777777777700000007000777777700077777777777777777777777007777777777777777777777777777000000777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000007777777777770000077777777077700777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000770000000000009999099907999999999999999999990000000000000000000000000000000000000000000000000000000000007777777777777770000077777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000777777777777777777777777777700000007000000007777777777777777777700077777777777777770777777777777777777770000007777777700077777777777777777707007777770007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000007777777777770000777777770077777777777777770077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000007999799999999990000000000000000000000000000000000000000000000000000000000000000000777777777777777777700777777777777777777777777777777777777777777777797799999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000777077777777777777777777000000070000077777777777777777777777077777777777777777777777777777777777777000007000000000000777777777777777777777700700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000007777777777770007777777777777777770077777770000777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997770000000000000000009900000000090079999770000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000007700770077777777777777770007700000007700000777777777777777777777777777777777777777770777777777777000000000000000000777777777777777777777000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000007777777770077777777777777777777700777777000777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000099990000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000077770770077770000077777777777777777007700007700000000007007777777777777777777777777777777777777000077777700000000000000077007777777777777707777777700000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000007777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999779999999990000900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000077777770000777777777000777707777777777007770077777777777777777777777777777777777777777777777777777000000000000000007000000770000077777777000777777700000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000777700000000077777000077007777777000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997797000990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777007777777777777777777777777777777779999999999999999999999999999999999900000999999999999999999999999999999999999000000000000000000000000077777777700007777777777770077777007777777700077777777777707777777777777777777777777777777777777777777700007777700000000000000007777707770000777777777000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000077000000000077770000000007777770000777007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777707777777777777777777777777777777779999999999999777777999999999999900000000009999999999999999999999999999999990000000000000000000000000000077777777770077777777777777777000007777007777777707777700777777777777777777777777777777777777777777777777777777700000000007777777777770000077777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000770000000000007000000000000077777007777000777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777999999999997777777799999999990000000000000799999999999999999999999999999900000000000000000000000000000007777777777707777777777777777700007777000770000077777777777777777777777777777777777777777777777777777777777770000000077007777777770700000777777700007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000777000777000000000000000000000777777777007777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777999999999977777777779999999700000000000000077799999999999999999999999999000000000000000000000000000000000770777707777777777777777000000000007770000707777777777777777777777777777777777777777777777777777777777777700000000077777000777000000000077777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000007700077777000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000770000077777777777777777777777777777777777777777777777777777777999999999977077777777999977000000000000000000777999999999999999999999990000000000000000000000000000000000007777000777777777777777700000000077777700777777770000777777777777777777777777777777777777777777777777777700000000007770000000000000000077777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000077770000000000007777770000000000000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777700007777777777777777777777777777777777777777777777777777779999999999777777777777799777777777700777700000000799999999999999999999900000000000000000000000000000000000000000000777777777777777777770000077777700000000000007777777777777777777777777777777777777777777777777777700000000077770000000000000000007007000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000770777700000000000077077777770000000000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777000007777777777777777777777777777777777777777777777777779999999999777777777777777777777777777777777707777777999999999999999999970000000000000000000000000000000000000000000007000000777777777777000000000000000000007777777777777777777777777777777777777777777777777777777777707777777700000000000000000077000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000077777700000000000700077777777000000000000077777000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777000077777777777777777777777777777777777777777777777779999999999977777777777777777777777777777777777777777779999999999999999970000000000000000000000000000000000000000000000000000007777777777700000000000000000000777777777777777777777777777777777777777777777777777777770077777777700000000000000000777000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000777700000000000000077777777770000770007777777700007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777700007777777777707777777777777777777777777777799777777999999999999777779777777777777777777777777777777777777779999999999999900000000000000000000000000000000000000000000000000000000000077777770000000007777777777777777777777777777777777777777777777777777777777777777700007777777777770000000007777700000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000007777777770000000000777000077700007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777770000777777777777777777777777777777777777777999777777799999999999977779777777777777777777777777777777777777777799999999999900000000000000000000000000000000000000000000000000000000000000077777000000777777777777777777777777077707777777777777777777777777777777777777700077777777777777700000007770000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000077700000000000000000000000000000000000000007777777770000000000000000000700000777777700077777777007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777000077777777777777777777777777777777777777799777077777799999999999999900700007777777777777777777777777777777777777999999977000000000000000000000000000000000000000000000000000000000000700777777007777777777770077777777777077777777777777777777777777777777777777770000777777777777777777000007770000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777770000000000077770000070000000000000000007777700000000000000000000000700000000000000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777770007777777777777777777777777777777777777777777007777799999999999999990000000000000000077777777777777777777777777779999977777770000000007777777777777000000000000000000000000000000000077000777777777770077770077777777777777777777777777777777777777777777777777000007777777777777000007000000777000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777000000777777700000000000000000000007777777700000007777000000000007777000000000000777777777777770077777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777700077777777777777777777777777777777777777777777777779999999999999999000000000000000000000007777777777777777777777799777777777000070077777777777777777000000000000000000000000000000000000007777777770077777777777777777777777777777777777777777777777777777777000777777777777770000000000000000000000000000000077777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000777777777777770007777000000007777700000000000000077777000007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777770007777777777777777777777777777777777777777777777777999999999999999900000000000000000777777777777777777777777777797777777777770077777777777777777777777700000000000000000000000000000700700077777777777777777777777777777777777777777777777777777777777777777770777777777777770000000000000700000000000000000077777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000777777777777770007770000007000000000000000000000077777000000007777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077770007777777777777000777777777777777777777777777777777777777777777777999999999999999999700000000000077777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000070777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000777700000000000000000007700077700777777777777777777777777777777777777777777777777777777777777777777777777777000777007777777777777770000000000000000000000777777777777770000007777000770000000000007000000000077777700000000777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777077777777777777777777777777777777777777777777779999999999999999999999000000000000770770777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000007077777770077777777777777777777777777777777777777777777777777777777777777777777000007000000000077700000000000000000007700777007777777777777777777777777777777777777777777777777777777777777777777777777777000077007777777777777770000000000000000000000007777777700000000077777777777700000007777777000000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077707777777777777777777777777777777777777777777777777777777777777779999999999979999999999000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777770000000000000000077000777700000000000077000007777770007777777777777777777777777777777777777777777777777777777777777777777777777777000007777777777777777000000000000000000000000007770770000000000007777777777777000077770777700000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777799999999999979779999997000000000000000000000000700000000000007777777700007000777000077777777777777777777777777777700000000000007700000000077777777777777777777777777777777777777777777777777777777777777777777000000000000000000777777777700000000000077700770000000077777777777777777777777777777777777777777777777777777777777777777777777777777000000007770000007770000000000000000000000000000000000000000000777777777777777777777000000000007777777700777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777999999999997777777777770000000000000000000000000000000000000000000777700000000007770077770077777777777777777777777777000777777700007770000000077777777777777777777770777777777777777777777777777777777700777000000007000000000007777777777770000700007777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777000000007777770000077770000000000000000000000000000000000000007777777777777777777770000000077000077777700777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777999999999777777777777777077777777777700000000000000000000000000000077777700000007777700000000777777777777777777777777777777770000777770000000077777777777777777777777777777777777777777777777777777777700777000000007700000000007777777777777077700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777000777700000000000000000000000000000000000000000077777777777777777770000000000000000007700077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777999999999777777777777777777777777777777700000000000000000000000000000077700000777700000000000777777777777777777777777777777700000007777000000007777777777777777777777777777777777777777777777777777777777777777700000770000000777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077700000077777700000000000000000000000000000000000007777777777777777777000000000000000007770077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777779999999999777777777777777777777777777777777770000000000000000000000000077777777007700000000077777777777777777777777777777770000000777777777000007007777777777777777777777777777777777777777777777777777777777777700007777007007777077777770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000077700000000000000000000000000000000000000000000007777777777770000000000007777770077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007770777777777777777777777777777777777777779777777777777999999977777777007997777777777777777777777777777777000000000007000000077777700000007700000077777777777777777777777777777700007777770000077777777777777777777777777777777777777777777777777777000000007777000000000077777777777777077777077707770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000077777777777777700000007777777700000777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000000000000000000000000000007777770000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777799997777777700000999997777777777777777777777777777777777077777000000777777700000007777777777770077777777777777777777777777777770000000077777777777777777777777777777777777777777777777777777700000000070000007777777777777077777007770077777700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000777777777777777777000000007777700007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000007777000000000000000000000000770000000000000000000000000000000000070077777777777777700000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777797777777700079999999777779777777777777777777777777777777770000777777770000000000007777777777077777777777777777777777777777777000000000777777777777777777777777777777777777777777777777777777777777700000007777777777770007777700077007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000777000000777777700000000000000000000000000000000000000000000000000000000777777777777007777770000000777777007777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000777700000000000000000777777700000000000000000000070000000070000070000000000007777777000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777779999999999990000000007777777777777777777777770007777777700000000000000777777777777777777777777777777777777777777777777077770077777777777777777777777777777777777777777777777777777777770000077777077007770077777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077700000000777777700000700000000000000000000000000000000000000000000007777777777777700077777000000077700077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000077770000070000000000777777707770000000000000000777000000777000000007000700007777777770000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777799999999999990000000000077777777777777777777777777777777700000000000000077777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777770000077777770000770777777770007770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777777777777777000000000000000000000000000000000000000000000777777777777000000000000000000000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997000000000077770000077000000000777777777077770000000000077777777777777000000077777777077777777777700000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777797777777799999999999990000000000000000000000077777777777777777777000000770000000000777770007777777777777777777777777777777770000007777777777777777770000777777777777777777777777777777777777777700000077777770000000777700077000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777000000007777000000000000770000000000000000000000000000000007777777777770000000000000000000077777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990770000000077770000000000000007777777777777777000000000777777777777777700077777777777777777777777700000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777799779977799999977779997777700007700000000000000770777777777707770000007777000000007777000077777777777777777777777777777777700000077777777777707777777770007770000007777777777777777777777007777007770077777777000000777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777770000000000000000000777777777000000000000000000000000077700000000000077777777777777770000000000770000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997770000000777770000007777777777777777777777777700777777777777777777777777777777777777777777777007700000000000000000000000000000000000000000000000000000000000000000070000077777777777777777777777777777777777777777799999977799977777779977777777777777777770077007700007777777777770000777777700000007777700070777777777777777777777777777777777777777777000777777777777777777777770000777777777777777777777000077777777777000000700000077770000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000077700000000000000000777777777770000000000000000000777777000007770077777777777777777777000000700000777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990770000000777777777777777777777777777777777777777777777777777700777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000077777077777777777777777777777777777777777777777799999977777777777799997777777777777777770077777770000000077777777777777777777777007777700000077777777777777777777777777777777777700000777777777777777777777777777707777777777777777777777770777777777777000007777770007700000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000007777770000000000000000077777707777770000000000000000000000000077777770000000007777777777000000700007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000007777777777777777777777777777777777777777777777777777777770777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777999999977777777777799977777777777777777777777777777777000007777777777700777777777707777770000000777777777777777777777777777777777777777777777777777777777777777770777777777777777777777777777777770777777000077777770000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777770000000000000000777770000077777770000000000000000000000000777777777700000007777777700000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000777777777777777777777777777777777777777777777700777707770777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000007777770077777777777777777777777777777777777777777799999997777977777799977777777777777777777777777777777777770777777777777777777777000777777777000077007777777777777777777777777777777777777777777777777777777777770777777777770077707777777777777000007777700777777700077700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777000000000000000777770000000077777777000000000000000000007770000707777777777777777777000000007777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000777777777777777777777777777777777777777777777777770000007770777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777999999997779997777799970077777777777777777777777777777777777777777777777777777000000007777777000000000770077777777777777777777000777777777777777777777777777777777777777777777777777777777770077000770077707777777700077770000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777000000000000000077777000777700077777770000000000000077700000000000077777777000777777770000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000777777777777777777777777777777777777777777777777000077777777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000777000777777777777777777777777777777777777777999999997779999977999900000007777777777777777777777777777777777777777777777770000000000777777700000700077777777777777777777777000007777777777777770777777777777777777777777777777777777777777777707777777777777777000077770777777777777777777777777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700077777000000000000000000770000777770000077777770000000000777000000000000000777777777777777770000077777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777779999999997999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000077777777777777777777777777777777777700000777777770077777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000000077700777777777777777777777777777777777777777999999999779999999999997777777777777777777777777777777777777777777777077777770007770770777777770000000000077707777770007777700000000777700777777777777777777777777777777777777777777777777777777777777777777777000000770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777777000000000000000000077000077000000077777777000000000000000000000000000007777777777777770000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777779999977999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999907000000000000000007777777777777777777777777777777700000000000777770777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000077077777777777777777777777777777777777777777779999999999999999999999997777777777777777777777777777777777777777777777077777777777777777777777700000000000000000007700007770000000000000000777777777700077770007077777777777777777777777777777777777777777777770000007700077077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000077777777770000000000000000000000000007777777000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000007777777777777777777777777777000000000000077777777777777777777777777777777700000000000000000000000000000000000000000000000000000000000000000000070007770077777777777777777777777777777777777799999999999999999999999999997770077077777077777777777777777777777777777777777777777777777777777777700000000000000000007770007777777700000000007777777770000007777000777777777777777777777777777777777777777777000077700077777770000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777770000000000000000777777770000000000777777777777777770000000000000000000000777777000000000000777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000007777777777777777777777707777700000000777777777770077777000077777000770000000000000000000000000000000000000000000000000000000000000000000000007707777077777777777777777777777777777777777999999999999999999999999999997777777777770000777777777777777777777777777777777777777777777777777777777777000000000777700777007777777770007777777777777777777077707777777777777777777777777777700777777777777700000000777777777700000007777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000077000000000000000000077777777000000007777777777777777777770000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000077777777777777777777777700000000000777770000000077770000000000000007000000000000000000000000000000000000000000000000000000000000000000000000000077000007777777777777777777777777777779999999999999999999999999999997777777777777007000000007777777777007777777777777777777777777777777777777777700777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707700000077777777000000007777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777770077770000000000007700000000000000007777777770000007777777770000077777777000000000000000000077777077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999000000000000000000000000000000000077777777777777777770007700000000007777700700000000000000000000000007700000000000000000000000000000000000000000000000000000000000000000000000000000777000777777777777777777777777777799999999999999999999999999999999777777777777777777000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777007777777770000000077777777777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000077777777077777777770000000000077777000000000000000007777700000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000007777777777777777700000000777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777779999999999999999999999999999999970000777777777777700000000000000000077777707777777777777777000777777777777777777077777777777777777777777777770077777777777777777777777777777777777777777777777777077777777700007700077777777700077700777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000007777000000700000000000000000007777000000000000000777770000000077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977977777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999970000000000000000000000000000000000007777777777777777777770000077777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000007007777777777777777777777777779999999999999999999999999999999999000000000077777770000000000000000007770007770777777777777700077777777777777777777777777777777777777777777770077777777777777777777777777777777777777777777777777777777700007777707777777777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777077777777707700000000000000000000000000000770000000000000000000000000007777777700000000000077000000070077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000777777777777777777777000777777777777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000777077777777777777777777777777779999999999999999999999999999999999900000000000077000000000000000000000770007770777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777770077777777777777777077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770070077777777777000000000000000000000000000000000000000000000000000000000077777770000000000770000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999700000000000000000000000000000000000000000777777777777777777777777777777777777777777777000000000000000007777770000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777999999999999999999999999999999999990000000000000000000000000000000007000000007777777777777777770077777777777777777777777777777777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000070000000000000000000000000000000000000000000000000000000777000000077700000000077777777000000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000777777777777777777777777777777777777777777770000000000000007777770700000007770000000000000000000000000000000000000000000000000000000000000000000000000000077777777777777777777777777799999999999999999999999999999999999000000000000000000000000000000000000000000007777777777777777077777777777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000077700000077000000000077777777777000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000777777777777777777777777777777777777770000000000000000000777777770000077777777700000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777777777777799999999999999999999999999999999999000000000000000000000000000007777707700000000777777777777777777777777777777777777777777777777077777007777777777777777777777777777777000777777777777777777777777777777777777777777777777777777777777777077777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777700770000000000000000000000000000000000000000000000000000000000007777777707777000000000000077777777770000000077777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000007007777777777777777777777777000777770007700000000000000000000777777777000077777777777770000000000000000000000000000000000000000000000000000000000000000000000000000000000777777777777777799999999999999999999999999999999999900000000000000000000000000077777777770000000777777777777777777777777777777777777777777777777777770777777777777777777777777777777777777707700077777777777777777777777777777777777777777777777777777777077777777777770077777777777777777777777777777777777777777777777777777777777777777777777777777700000770000000000000000000000000000000000000000000000000000000000777777777777700000000000000000000777000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000007770777777777777777777777777777777777000000000000000000000000000770700070077777777777777000007070000000000000000000000000000000000000000000000000000000000070007700000000000007777007777799999999999999999999999999999999999900000000000000000000000000077777777770000000777777777777777777777777777777777777777777777777777700777777777777777777777777777777777700000000077777777777777777777777777777777777777777777777777777777777777777777770777007777777777777777777777777777777777777777777777777777777777777777777777777000000070000000000000000000000000000000000000000000000000000000000000777770077770000000077770000000077700077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000077777777777777777777777700077707000000007770000000000000000000000077777777777777777777007777770077777000000007770000000000000000000000000000000000000000007700007007007777777777777999999999999999999999999999999999999990000000000000000000000000777077777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000007777777777777777777777777777777777777777777777777777777700777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000077777777000000077777000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000000007777777777777777707700000077777700000777777777000000000000000000007770000077777777777777777777777777770700077777777700000000000000000000000000000000000000000777777777777777777777999999999999999999999999999999999999900000000000000000000000000077077777700000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007777777777777777777777777777777777777777777777777777777770777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000000000000000000000000000000000007700007777700007777000000000777770777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999900000000000000000000000000000000000000000000000000000000777777777777777007777000777777777777777777777700000000007700000000000000077777777777777777777777777777700000007777770000000000000000000000000000000000000000007770007777777777779999999999999999999999999999999999999990000000000000000000000000007777770000007777777777777777777707077777777777777777777777777777777777777777777700777707777777777777777777777000777777777777777777777777777777777777777777777777777777770777777777007777770077777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000000000000000000000000777000000000000000000000000770000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777797000000000000000000000000000000000000000000000000000000000077777777777777077777777777777777777777777777777770000000000000000007700077777777777777777777777777777777000000077777700000000000000000000000000000000000000000000777777777977999999999999999999999999999999999999999999000000000000000000000000000777000000007777777777777777777777777777777777777777777007777777777777777777777000077777777777777777777777777000007777777777777777777777777777777777777777777777777777770777777777000777770777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000070000000000000000000777700000000000000000000007770000000000000000777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777700700000000000000077777707777777777777777777777777777777777777077077777777700000000000000000000000000000000000077000777777777999999999999999999999999999999999999999999999900077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777700777777777777777777777777777777777777777777777777777770007777707777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000000000000000000000000777000000077777777777700000000000000000007700007770007700000000007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999999977777777700000000000000000000000000000000000000000000000000000007777777777777777700777777777777777777777777777700000000000000077777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000007777777777777799999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777007770077777777777777777777777777777777777777777777777777777770007777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000000000000000000000000000077777770000000077777000000000000007777777700000077777777777700007777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999979999999999999999999999999999999999999999999999999999999999999999999977777777777700000000000000000000000000000000000000000000000000000000077777777777777000777777777777777777777777777777700777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000770000077777777777999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007700007777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000000000007770000000000000000000000000000000777770000000077777777777770077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777779999999999999999999999999999999999999999999797799999999777799999999999999999999999999999999999999999999999999999999999999977777777777777700000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000070000000000000000000077000077777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000077707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700070000000000000000000000000000000000000000000000000000000000000007777777077700000000077777007700777077777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777779999999999999999999999999999999999997999777799777777777777777999999999999999999999999999999999999999999999999999999999999777777777777777770000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770070700007777777770000007077777777777777777777777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707000077700000000000000000000000000007770000000000000000000000000000007777777000700000000007700000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777799999999999999999999999999999999999999999999999999999999997777777777777777770000000000000000000000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000777777000000000000000000000000000700000000000000000000000000000000007777000000000000000700000000000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777779999999999999999999999999999997779777777777777777777777777777779977777999999999999999999999999999999999999999999999999997777777777777777770000000000000000000000000000000000000000000000000000000000077777777777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770007777777777700000000000000000000000000000000000000000000000000000000077777777700000000000000070000000000777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777999999999999999999999999999997777777777777777777777777777777777779777797799999999999999999999999999999999999999999999999999977777777777777777000000000000000000000000000000000000000000000000000000000077777777777000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000777777777777700000000000000000000000007000000000000000000000000000077777777770000000000000077000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799997999999999999999999999999977777777777777777777777777777777777799777997777999999999999999999999999999999999999999999999999777777777777777777000000000000000000000000000000000000000000000000000000000007777777770077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000007777777777700000000000000000000000007000000000000000000000000007770777777770070000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777799799999999999999999999999977777797777777777777777777777777777777777777977777777779999999999999999999999999999999999999999999777777777777777777700000000000000000000000000000000000000000000000000000000007777777770777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000007777700077007777000000000000000000000000000000000000007007777700007777770000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777779999999999999999999999997777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999777777777777777777700000000000000000000000000000000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000077700077777777770000000000000000000000000000000777777007777700000770777700000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777799999999999979999999997777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999977777777777777777777700000000000000000000000000000000000000000700000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000007000777777777777777770077000000000000000000077777777700777000000000000700000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777977999799999999999777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999997977777777777777777770000000000000000000000000000000000000000070000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000007777777777777777777777700000000000000000007770777000007700000000000007700077000000000000077777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777799999999997777779777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777977777777777777777770000000000000000000000000000000000000700000000000000000000000007777000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000007777777777770077777777777777000000000000000000000000000007770000000000007770077000077770000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777799999999999977777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000070000000000000000000000000000000077000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000077777777777770000000077777777777000000000000000000000000000000000000000000000000000077777000777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777797799999999999777797777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999777777777777777777777777000000000000000000000000000000077000000000000000000000000000000007707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977777779999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000007777777777777700000000077777777777000000000000000000000000000000000000000000000000000077770007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999977777999999999999999997777777777777777777777777777777777777777777777777777779999999999777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999997777777777777777777000000000000000000000000000000000000000007000000000000000000700007777707777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000077777777777777700000000777777777000000000000000000000000000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777799999999777999777777777777777777777777777777777777777777777777777777779999999997777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999997777777777777777700000000000000000000000000000000000000077700000000000000007777007770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770077777777777777000000000777777777700000000000000000007700000000000000000007700000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777799999997777777777777777777777777777777777777777777777777777777777777999999999777777777777777777777779777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999997777777777777777700000000000000000000000000000000000000007770000000000000007777000770000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770777700000000000777777770000000000000000000700000000000000000000777770000000000000077777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777977777777777777777777777777777777777777777777777777777777777779999999799777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999777777777777777700000000000000000000000000000000000077700077000700070000007700000077000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000077777770000000000000000000000000000000000000000007777700000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777797999999997777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999977777777777777770000000000000000000000000000000777777777707700777777077777770000777700077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999797777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000077777770000000000000000000000077777770000000000007777700000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777999999999999977777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999777777777777770077777700000000000000000007700077777777777777777777777777777007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000077777777777000000000000000000000770077770000000000777700000000007777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777799999999779777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999997777777777777777777777777700000000077777770077000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000770000000000077700000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777999999777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999777777777777700000000000000077700077777777770000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000007700000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777799777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999977777777777000000000000000000000007000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770700000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999977777777700000000000000000000000000000000000000007007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777977799999999999999999999999999999999999999999999999999999999999999997777777700000000000000000000000000000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000000000770000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999997777777700000000000000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000000777770000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777770000000000000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000077770000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999777777770000000000000000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777700000000000700000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777000000000000000000000777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999977777777000000000000000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999999977779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999997777777777777777777777777777777777777777777777777777777777777779777777777777777777777777777777777777777777777777777777777777777777777777777777799999999999999999999999999999999999999999999999999999999999999999999999997777777000000000007777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779999999999999999999999999999999979777779977777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777707700000007777777777777777777777777777777777777777777777777777777777777777777777777777777
99999999999999999999999999999999999999999999999999999999777777777777777777777777777777777777777777777777777777777777977777777777777777777777777777777777777777777777777777777777777777777777777777777999999999999999999999999999999999999999999999999999999999999999999999999997777777700000077777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777779977777777777777777799999999999999999999999999999999977777777997777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777770000007777777777777777777777777777777777777777777777777777777777777777777777777777777
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