the-deaf-rats-of-hamelin-2d

The Deaf Rats of Hamelin (2D)

Those pesky rats have returned and this time they have taken over the Town Square.

The Pied Piper has been enlisted again to play his magical tune and coax all the rats towards him.

But some of the rats are deaf and are going the wrong way!

Task

How many deaf rats are there?

Input Notes

• The Town Square is a rectangle of square paving stones (the Square has 1-15 pavers per side)
• The Pied Piper is always present

Output Notes

• Deaf rats are those that are moving to paving stone further away from the Piper than where they are now
• Use Euclidian distance for your calculations

Legend

• P = The Pied Piper
• ← ↑ → ↓ ↖ ↗ ↘ ↙ = Rats going in different directions
• space = Everything else

Examples

ex1 - has 1 deaf rat

↗ P	 	 
  ↘   ↖
  ↑	 	 
↗ 	 

---

ex2 - has 7 deaf rats

    ↗	 	 
P ↓   ↖ ↑
    ←   ↓
  ↖ ↙   ↙
↓ ↓ ↓