ASU 116 All Soviet Union MO 1969 a wolf and 4 dogs 1969 leningrad 7.4*
Source:
June 23, 2019
algebra
Problem Statement
There is a wolf in the centre of a square field, and four dogs in the corners. The wolf can easily kill one dog, but two dogs can kill the wolf. The wolf can run all over the field, and the dogs -- along the fence (border) only. Prove that if the dog's speed is times more than the wolf's, than the dogs can prevent the wolf escaping.