Number of solutions: 1

Solution 1:
          2          
       6     3       
    5     *     3    
 6     4     5     2 
    *     1     *    
 1     3     6     4 
    2     *     1    
 4     5     2     4 
    *     4     *    
 6     3     5     3 
    1     *     6    
       2     6       
          1