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Friday, October 15, 2010
48th Eötvös Competition Problems 1944
1. Prove that 462n+1 + 296·132n+1 is divisible by 1947. 2. Show that any graph with 6 points has a triangle or three points which are not joined to each other. 3. What is the smallest number of disks radius ½ that can cover a disk radius 1?
