 * 
 Dynamic System prediction 

  Let a system be defined by a triplet ( x, y, z ). They obeys:
 

        x (n+1) = ( x (n) + y(n) + z(n)  ) Mod 7;                 
         y (n+1) =  x ( n );                                        
         z  (n+1 ) = y ( n) Mod 5;                           


This is a finite dynamic system. The possible values are: 

        x in { 0, 1, 2, 3, 4, 5, 6 };                        
          y in { 0, 1, 2, 3, 4, 5, 6 };                         
          z in { 0, 1, 2, 3, 4 }.                                

The possible states are 000, 001, . . ., 100, 101, . . . , 775.
*
3
1  0  0
1  1  0
2  1  1
4  2  1
0  4  2
6  0  4
3  6  0
2  3  1
6  2  3
4  6  2
5  4  1
3  5  4
5  3  0
1  5  3
2  1  0
3  2  1
6  3  2
4  6  3
6  4  1
4  6  4
0  4  1
5  0  4
2  5  0
0  2  0
2  0  2
4  2  0
6  4  2
5  6  4
1  5  1
0  1  0
1  0  1
2  1  0
3  2  1
6  3  2
4  6  3
6  4  1
4  6  4
0  4  1
5  0  4
2  5  0
0  2  0
2  0  2
4  2  0
6  4  2
5  6  4
1  5  1
0  1  0
1  0  1
2  1  0
3  2  1
6  3  2
4  6  3
6  4  1
4  6  4
0  4  1
5  0  4
2  5  0
0  2  0
2  0  2
4  2  0
6  4  2
5  6  4
1  5  1
0  1  0
1  0  1
2  1  0
3  2  1
6  3  2
4  6  3
6  4 1

