Question: Prove the statement: For all integers a, b and c, if a^2 +b^2 = c^2, then a or b is even. (Please mention what methods

Prove the statement: For all integers a, b and c, if a^2 +b^2 = c^2, then a or b is even. (Please mention what methods you will use to prove it. For example, direct proof, proof by contrapositive, proof by contradiction.)

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