In this diagram, there are three squares. The larger white square has side length cm and the smaller one has side length cm, and and are both integers. The shaded area is cm.
(a) Find one possible value for . No explanation is needed. [2 points]
(b) Find another possible value for . No explanation is needed. [4 points]
(c) Prove that no others are possible. Full explanation is required. [4 points]
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Junior Mathematical Olympiad 2025 (2025)
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