Problem #PRU-35177

Problemas Matemáticas Discretas Teoría de Algoritmos Teoría de Juegos Teoría de Juegos (otro)

Problem

On a plane there are 100 sheep-points and one wolf-point. In one move, the wolf moves by no more than 1, after which one of the sheep moves by a distance of no more than 1, after that the wolf again moves, etc. At any initial location of the points, will a wolf be able to catch one of the sheep?