Robots

Robots can move around the 4 x 4 board below. They can do so at the rate of one square per second. Start the red robot at (1,1) and give it instructions (square by square) to move in a square of side length 3 around the square (2,2). 
Robots.gif (4492 bytes)

 

 

 

 

 

 

 

 

Now start the blue robot at (4,4) and write instructions for it to move in a square of side length 3 around the square (3,3).

If the red and blue robots both start at the same time from their respective corners, which squares can they both be made to occupy at the same time?