A square with side length 8 is colored white except for 4 black isosceles right triangular regions with legs of length 2 in each corner of the square and a black diamond with side length 2V2 in the center of the square, as shown in the diagram. A circular coin with diameter 1 is dropped onto the square and lands in a random location where the coin is 1 (a + bv2 + ), where a and b 196 completely contained within the square. The probability that the coin will cover part of the black region of the square can be written as are positive integers. What is a + b? (A) 64 (B) 66 (C) 68 (D) 70 (E) 72