O---O=>=O---O
1   2   3   4   
F4

(0, 0, 0, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-32*alpha[1] - 60*alpha[2] - 84*alpha[3] - 44*alpha[4]

(0, 0, 0, 2):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-6*alpha[1] - 8*alpha[2] - 6*alpha[3] + 8*alpha[4]

(0, 0, 2, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-2*alpha[1] + 6*alpha[3] + alpha[4]

(0, 0, 2, 2):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-3*alpha[1] - 2*alpha[2] + 3*alpha[3] + alpha[4]

(0, 2, 2, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-alpha[1] + 2*alpha[2] + 2*alpha[3] - alpha[4]

(0, 2, 2, 2):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=-alpha[1] + 2*alpha[2] + alpha[3] + alpha[4]

(2, 0, 0, 0):
   w=s3*s1*s2*s3*s2*s1
   w=[-1  0  0  1]
     [-2  1  0  1]
     [-2  2 -1  2]
     [ 0  0  0  1]
   score=-2*alpha[1] - 7*alpha[2] - 8*alpha[3] + 2*alpha[4]

(2, 0, 0, 2):
   w=s3*s4
   w=[ 1  0  0  0]
     [ 0  1  0  0]
     [ 0  2  0 -1]
     [ 0  0  1 -1]
   score=5*alpha[1] + alpha[2] + 2*alpha[3] - alpha[4]

(2, 0, 2, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=2*alpha[1] + alpha[2] + 4*alpha[3]

(2, 0, 2, 2):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=2*alpha[1] + 2*alpha[3] + alpha[4]

(2, 2, 0, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=alpha[1] + 6*alpha[2] + 4*alpha[3]

(2, 2, 2, 0):
   w=1
   w=[1 0 0 0]
     [0 1 0 0]
     [0 0 1 0]
     [0 0 0 1]
   score=alpha[1] + alpha[2] + 2*alpha[3] - alpha[4]