PlaneGeometry UK MAT Intermediate

Problem - 4765

A particle moves in the $xy$-plane, starting at the origin $(0, 0)$. At each turn, the particle may move in one of the two ways:

  • it may move two to the right and one up
  • it may move one to the right and two up

What is the closet distance the particle may come to the point $(25, 75)$?

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