4th All Russian Mathematical Olympiad Problems 19641. In the triangle ABC, the length of the altitude from A is not less than BC, and the length of the altitude from B is not less than AC. Find the angles. 2. If m, k, n are natural numbers and n>1, prove that we cannot have m(m+1) = kn. 3. Reduce each of the first billion natural numbers (billion = 109)
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