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Parity

From AoPSWiki

Parity refers to whether a number is even or odd.

While this may seem highly basic, checking the parity of numbers is often an useful tactic for solving problems, especially with proof by contradictions and casework.

Problems

Introductory

  • Find \gcd(a+b,a^2+b^2) if \gcd(a,b) = 1.

Intermediate

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Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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