state 00:   *     
state 01: *  *    
state 02: **  *   
state 03:  **  *  
state 04: * **  * 
state 05:  * **  *
state 06:     **  
state 07: *    ** 
state 08:  *    **
state 09:        *
state 10:   *     
state 11:    *    
state 12: *   *   
state 13: **   *  
state 14:  **   * 
state 15:   **   *
state 16: * ***   
state 17: ** ***  
state 18: *** *** 
state 19:  *** ***
state 20:    ** **
state 21:   * ** *
state 22:   ** ** 
state 23:    ** **
state 24: * * ** *
state 25: **** ** 
state 26: ***** **
state 27:  * *** *
state 28: *   *** 
state 29: **   ***
state 30: **    **
state 31:  *     *