TC VegetableGarden

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[edit] Summary

This problem seems to be pretty tricky (only 4 people got it right) but the solution is fairly short. It takes place on a rectangular grid. You have to walk around inspecting certain plots of land but not inspecting others.

From TopCoder Single Round Match 340.

[edit] Hints

  • The constraint "Your path must not intersect itself" can be ignored.
  • Given any square S, let R be any infinite ray leaving that square. Then after you return to the origin, S is inside your path if and only if your path intersects R an odd number of times.
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