plan, project, contrive, design -- (make or work out a plan for; devise; "They contrived to murder their boss"; "design a new sales strategy"; "plan an attack")
invent, contrive, devise, excogitate, formulate, forge -- (come up with (an idea, plan, explanation, theory, or principle) after a mental effort; "excogitate a way to measure the speed of light")
project, cast, contrive, throw -- (put or send forth; "She threw the flashlight beam into the corner"; "The setting sun threw long shadows"; "cast a spell"; "cast a warm light")
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