Constitute is a synonym of Enact. Enact is derived from Act. Act is a synonym of Move. Move is the opposite of Lay. 
Hint is a synonym of Trace. Trace is a synonym of Suggestion. 
Constitute <--Synonym--> Enact --DerivedFrom--> Act <--Synonym--> Move <--Antonym--> Lay 
Hint <--Synonym--> Trace <--Synonym--> Suggestion 