UVa 10310 - Dog and Gopher

10310 - Dog and Gopher
[ 10310 - Dog and Gopher]

Summary
Given the coordinates of the dog, the gopher and the holes, you are asked to check whether the gopher can escape from the dog through the holes.

Explanation
Use the Pythagoras Theorem to find the distance from the dog to the hole, and from the gopher to the hole. Let G be the distance of the gopher to the hole, and D be the distance of the dog to the hole. If $$D \ge 2G$$ the gopher can escape through that hole. If there are 2 holes that satisty this condition, output the one that appears first in the input.

Input
1 1.000 1.000 2.000 2.000 1.500 1.500

2 2.000 2.000 1.000 1.000 1.500 1.500 2.500 2.500

2 1.000 0.000 2.000 0.000 0.000 0.000 0.500 0.000

Output
The gopher cannot escape. The gopher can escape through the hole at (2.500,2.500). The gopher can escape through the hole at (0.000,0.000).