analytic

/,ænə'litik/
Adjective
  1. of a proposition that is necessarily true independent of fact or experience
    • `all spinsters are unmarried' is an analytic proposition
  2. expressing a grammatical category by using two or more words rather than inflection
  3. using or skilled in using analysis (i.e., separating a whole--intellectual or substantial--into its elemental parts or basic principles)
    • an analytic experiment
    • an analytic approach
    • a keenly analytic man
    • analytical reasoning
    • an analytical mind
  4. using or subjected to a methodology using algebra and calculus
    • analytic statics

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analytic
An analytic approach helps solve the puzzle.