11909

 

1208

 

10209

To get accepted I had to use PI = acos(-1). Lets assume X = middle portion; Y = dotted region; Z = stripped region; Three independent equations are: X+ 4*Y + 4*Z = a*a……………………………………………….(1) Y + 2*Z = a*a – PI*a*a/4………………………………………..(2) X/2 + Y + Z/2 = (PI*a*a)/4 – ΔPAR………………………..(3)

 

12779

 

11824

 

10188

 

11917

 

1282

Theory: The idea for solving the problem is: for any fibonacci word F(n) = F(n-1)+F(n-2) = F(n-2)+F(n-3)+F(n-2), so word F(n-2) is both suffix and prefix of word F(n). After observing a little more we can find that F(n-2) will always be the prefix for all the rest of the fibonacci word.Now find the minimum F(n-3)

11475