That puzzle has two solutions no?

     1 1 1   
     1 1 1 2 1
   2 x x . . .
   2 . . x x .
  11 x . . x .
  11 . x . . x
   1 . . x . .

and

     1 1 1   
     1 1 1 2 1
   2 x x . . .
   2 . . x x .
  11 . x . x .
  11 x . . . x
   1 . . x . .

(found these with an SMT solver :D)