2nd All Soviet Union Mathematical Olympiad 1968 Problems & Solutions

1.  An octagon has equal angles. The lengths of the sides are all integers. Prove that the opposite sides are equal in pairs. 2.  Which is greater: 3111 or 1714? [No calculators allowed!] 3.  A circle radius 100 is drawn on squared paper with unit squares. It does not touch any of the grid lines or pass through any of the lattice points. What is the maximum number of

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