Three neighbors - the owners of the skyscraper,
the bungalow and the cottage - who share the small park, as shown in
the upper illustration, have a falling out. This led them to the
decision to build three pathways from their houses to the gates of the
park (every path to another gate), so that none of the paths cross
The owner of the skyscraper wants to build the path to the central
gate. The owner of the bungalow (on the left) wants to make the path
to the gate on the right, and the owner of the cottage (on the right)
wants to have his path to the left gate. The colors of the lawns
around the houses and the respective spots next to the gates will help
you to understand their plan. Please, notice that none of the path can
go behind the skyscraper (see the lower illustration).
How do the quarrelsome neighbors have to build their pathways?