luke-3-min.py

BLACK, WHITE, SIZE, MOVES = True, False, 10, [[-2,-1],[-2,1],[-1,-2],[-1,2],[1,-2],[1,2],[2,-1],[2,1]]
pos, board = [0, 0], [[WHITE for _ in range(SIZE)] for _ in range(SIZE)]
 
for _ in range(200):
    x, y = pos
    moves = map(lambda move: [x+move[0], y+move[1]], MOVES)
    validMoves = filter(lambda pos: SIZE > pos[0] >= 0 and SIZE > pos[1] >= 0, moves)
    sameColorMoves = filter(lambda move: board[x][y] == board[move[0]][move[1]], validMoves)
 
    pos = sameColorMoves[0] if sameColorMoves else validMoves[-1]
    board[x][y] = not board[x][y]
 
print sum(map(sum, board))