1,2                                                 ;					
1,3,2                                                 ;					
1,4,2,3                                                 ;					
1,5,2,3,4                                             ;					
1,6,2,3,4                                          ;					
1,7,2,3,4,6                                         ;					
1,8,2,3,4,6,7                                       ;					
1,9,2,3,4,6,7,8                                     ;					
1,10,2,3,4,6                                 ;					
1,11,2,3,4,6,10                               ;					
1,12,2,3,4,6,10                            ;					
1,13,2,3,4,6,10,12                         ;					
1,14,2,3,4,6,10,12,13                      ;					
1,15,2,3,4,6,10,12,13,14                   ;					
1,16,2,3,4,6,10,12,13,14,15                ;					
1,17,2,3,4,6,10,12,13,14,15,16             ;					
2,3                                                 ;					
2,4,3                                                 ;					
2,5,3,4                                               ;					
2,6,3,4                                            ;					
2,7,3,4,6                                           ;					
2,8,3,4,6,7                                         ;					
2,9,3,4,6,7,8                                       ;					
2,10,3,4,6                                   ;					
2,11,3,4,6,10                                 ;					
2,12,3,4,6,10                              ;					
2,13,3,4,6,10,12                           ;					
2,14,3,4,6,10,12,13                        ;					
2,15,3,4,6,10,12,13,14                     ;					
2,16,3,4,6,10,12,13,14,15                  ;					
2,17,3,4,6,10,12,13,14,15,16               ;					
3,4                                               ;					
3,5,4                                               ;					
3,6,4                                             ;					
3,7,4,6                                           ;					
3,8,4,6,7                                         ;					
3,9,4,6,7,8                                       ;					
3,10,4,6                                    ;					
3,11,4,6,10                                 ;					
3,12,4,6,10                              ;					
3,13,4,6,10,12                           ;					
3,14,4,6,10,12,13                        ;					
3,15,4,6,10,12,13,14                     ;					
3,16,4,6,10,12,13,14,15                  ;					
3,17,4,6,10,12,13,14,15,16               ;					
4,5                                             ;					
4,6                                           ;					
4,7,6                                           ;					
4,8,6,7                                         ;					
4,9,6,7,8                                       ;					
4,10,6                                    ;					
4,11,6,10                                 ;					
4,12,6,10                              ;					
4,13,6,10,12                           ;					
4,14,6,10,12,13                        ;					
4,15,6,10,12,13,14                     ;					
4,16,6,10,12,13,14,15                  ;					
4,17,6,10,12,13,14,15,16               ;					
5,6,4                                          ;					
5,7,4,6                                           ;					
5,8,4,6,7                                         ;					
5,9,4,6,7,8                                       ;					
5,10,4,6                                    ;					
5,11,4,6,10                                 ;					
5,12,4,6,10                              ;					
5,13,4,6,10,12                           ;					
5,14,4,6,10,12,13                        ;					
5,15,4,6,10,12,13,14                     ;					
5,16,4,6,10,12,13,14,15                  ;					
5,17,4,6,10,12,13,14,15,16               ;					
6,7                                         ;					
6,8,7                                         ;					
6,9,7,8                                       ;					
6,10                                  ;					
6,11,10                                 ;					
6,12,10                              ;					
6,13,10,12                           ;					
6,14,10,12,13                        ;					
6,15,10,12,13,14                     ;					
6,16,10,12,13,14,15                  ;					
6,17,10,12,13,14,15,16               ;					
7,8                                       ;					
7,9,8                                       ;					
7,10,6                                    ;					
7,11,6,10                                 ;					
7,12,6,10                              ;					
7,13,6,10,12                           ;					
7,14,6,10,12,13                        ;					
7,15,6,10,12,13,14                     ;					
7,16,6,10,12,13,14,15                  ;					
7,17,6,10,12,13,14,15,16               ;					
8,9                                    ;					
8,10,7,6                                    ;					
8,11,7,6,10                                 ;					
8,12,7,6,10                             ;					
8,13,7,6,10,12                           ;					
8,14,7,6,10,12,13                        ;					
8,15,7,6,10,12,13,14                     ;					
8,16,7,6,10,12,13,14,15                  ;					
8,17,7,6,10,12,13,14,15,16               ;					
9,10,8,7,6                                 ;					
9,11,8,7,6,10                                 ;					
9,12,8,7,6,10                              ;					
9,13,8,7,6,10,12                           ;					
9,14,8,7,6,10,12,13                        ;					
9,15,8,7,6,10,12,13,14                     ;					
9,16,8,7,6,10,12,13,14,15                  ;					
9,17,8,7,6,10,12,13,14,15,16               ;					
10,11                              ;					
10,12                          ;					
10,13,12                           ;					
10,14,12,13                        ;					
10,15,12,13,14                     ;					
10,16,12,13,14,15                  ;					
10,17,12,13,14,15,16               ;					
11,12,10                           ;					
11,13,10,12                           ;					
11,14,10,12,13                        ;					
11,15,10,,13,14                     ;					
11,16,10,12,13,14,15                  ;					
11,17,10,12,13,14,15,16               ;					
12,13                        ;					
12,14,13                        ;					
12,15,13,14                     ;					
12,16,13,14,15                  ;					
12,17,13,14,15,16               ;					
13,14                     ;					
13,15,14                     ;					
13,16,14,15                  ;					
13,17,14,15,16               ;					
14,15                  ;					
14,16,15                  ;					
14,17,15,16               ;					
15,16               ;					
15,17,16               ;					
16,17                     ;					
1,101,2                        ;
1,102,2,3                     ;
1,103,2,3,4,5 ;
1,104,2,3,4,6 ;
1,105,2,3,4,6,7;
1,106,2,3,4,6,7,105;
1,107,2,3,4,6,7,105,106;
1,108,2,3,4,6,10,12;
1,109,2,3,4,6,10,12,13,14,15 ;       
1,110,2,3,4,6,10,12,13,14,15,16 ;
1,12223,4,6,10,12,108;
1,200,2,3,4,6,10,12,108,122;
2,101;   
2,102,3;
2,103,3,4,5;
2,104,3,4,6;
2,105,3,4,6,7;
2,106,3,4,6,7,105;
2,107,3,4,6,7,105,106;
2,108,3,4,6,10,12;
2,109,3,4,6,10,12,13,14,15;
2,110,3,4,6,10,12,13,14,15,16;
2,122,3,4,6,10,12,108;
2,200,3,4,6,10,12,108,122;
3,101,2;
3,102;
3,103,4,5;
3,104,4,6;
3,105,4,6,7;
3,106,4,6,7,105;
3,107,4,6,7,105,106;
3,108,4,6,10,12;
3,109,4,6,10,12,13,14,15;
3,110,4,6,10,12,13,14,15,16;
3,122,4,6,10,12,108;
3,200,4,6,10,12,108,122;
4,101,3,2;
4,102,3;
4,103,5;
4,104,6;
4,105,6,7;
4,106,6,7,105;
4,107,6,7,105,106;
4,108,6,10,12;
4,109,6,10,12,13,14,15;
4,110,6,10,12,13,14,15,16;
4,122,6,10,12,108;
4,200,6,10,12,108,122;
5,101,4,3,2;
5,102,4,3;
5,103;
5,104,4,6;
5,105,4,6,7;
5,106,4,6,7,105;
5,107,4,6,7,105,106;
5,108,4,6,10,12;
5,109,4,6,10,12,13,14,15;
5,110,4,6,10,12,13,14,15,16;
5,122,4,6,10,12,108;
5,200,4,6,10,12,108,122;
6,101,4,3,2;
6,102,4,3;
6,103,4,5;
6,104;
6,105,7;
6,106,7,105;
6,107,7,105,106;
6,108,10,12;
6,109,10,12,13,14,15;
6,110,10,12,13,14,15,16;
6,122,10,12,108;
6,200,10,12,108,122;
7,101,6,4,3,2;
7,102,6,4,3;
7,103,6,4,5;
7,104,6;
7,105;
7,106,105;
7,107,105,106;
7,108,6,10,12;
7,109,6,10,12,13,14,15;
7,110,6,10,12,13,14,15,16;
7,122,6,10,12,108;
7,200,6,10,12,108,122
8,101,7,6,4,3,2;
8,102,7,6,4,3;
8,103,7,6,4,5;
8,104,7,6;
8,105,7;
8,106,7,105;
8,107,7,105,106;
8,108,7,6,10,12;
8,109,7,6,10,12,13,14,15;
8,110,7,6,10,12,13,14,15,16;
8,122,7,6,10,12,108;
8,200,7,6,10,12,108,122;
9,101,8,7,6,4,3,2;
9,102,8,7,6,4,3;
9,103,8,7,6,4,5;
9,104,8,7,6;
9,105,8,7;
9,106,8,7,105;
9,107,8,7,105,106;
9,108,8,7,6,10,12;
9,109,8,7,6,10,12,13,14,15;
9,110,8,7,6,10,12,13,14,15,16;
9,122,8,7,6,10,12,108;
9,200,8,7,6,10,12,108,122;
10,101,6,4,3,2;
10,102,6,4,3;
10,103,6,4,5;
10,104,6;
10,105,6,7;
10,106,6,7,105;
10,107,6,7,105,106;
10,108,12;
10,109,12,13,14,15;
10,110,12,13,14,15,16;
10,122,12,108;
10,200,12,108,122;
11,101,10,6,4,3,2;
11,102,10,6,4,3;
11,103,10,6,4,5;
11,104,10,6;
11,105,10,6,7;
11,106,10,6,7,105;
11,107,10,6,7,105,106;
11,108,10,12;
11,109,10,12,13,14,15;
11,110,10,12,13,14,15,16;
11,122,10,12,108;
11,200,10,12,108,122;
12,101,10,6,4,3,2;
12,102,10,6,4,3;
12,103,10,6,4,5;
12,104,10,6;
12,105,10,6,7;
12,106,10,6,7,105;
12,107,10,6,7,105,106;
12,108;
12,109,13,14,15;
12,110,13,14,15,16;
12,122,12,108;
12,200,12,108,122;
13,101,12,10,6,4,3,2;
13,102,12,10,6,4,3;
13,103,12,10,6,4,5;
13,104,12,10,6;
13,105,12,10,6,7;
13,106,12,10,6,7,105;
13,107,12,10,6,7,105,106;
13,108,12;
13,109,14,15;
13,110,14,15,16;
13,122,12,108;
13,200,12,108,122;
14,101,13,12,10,6,4,3,2;
14,102,13,12,10,6,4,3;
14,103,13,12,10,6,4,5;
14,104,13,12,10,6;
14,105,13,12,10,6,7;
14,106,13,12,10,6,7,105;
14,107,13,12,10,6,7,105,106;
14,108,13,12;
14,109,15;
14,110,15,16;
14,122,13,12,108;
14,200,13,12,108,122;
15,101,14,13,12,10,6,4,3,2;
15,102,14,13,12,10,6,4,3;
15,103,14,13,12,10,6,4,5;
15,104,14,13,12,10,6;
15,105,14,13,12,10,6,7;
15,106,14,13,12,10,6,7,105;
15,107,14,13,12,10,6,7,105,106;
15,108,14,13,12;
15,109;
15,110,16;
15,122,14,13,12,108;
15,200,14,13,12,108,122;
16,101,15,14,13,12,10,6,4,3,2;
16,102,15,14,13,12,10,6,4,3;
16,103,15,14,13,12,10,6,4,5;
16,104,15,14,13,12,10,6;
16,105,15,14,13,12,10,6,7;
16,106,15,14,13,12,10,6,7,105;
16,107,15,14,13,12,10,6,7,105,106;
16,108,15,14,13,12;
16,109,15;
16,110;
16,122,15,14,13,12,108
16,200,15,14,13,12,108,122;
17,101,16,15,14,13,12,10,6,4,3,2;
17,102,16,15,14,13,12,10,6,4,3;
17,103,16,15,14,13,12,10,6,4,5;
17,104,16,15,14,13,12,10,6;
17,105,16,15,14,13,12,10,6,7;
17,106,16,15,14,13,12,10,6,7,105;
17,107,16,15,14,13,12,10,6,7,105,106;
17,108,16,15,14,13,12;
17,109,16,15;   
17,110,16;
17,122,16,15,14,13,12,108;
17,200,16,15,14,13,12,108,122;
101,102,2,3;
101,103,2,3,4,5;
101,104,2,3,4,6;
101,105,2,3,4,6,7;
101,106,2,3,4,6,7,105;
101,107,2,3,4,6,7,105,106;
101,108,2,3,4,6,10,12;
101,109,2,3,4,6,10,12,13,14,15;
101,110,2,3,4,6,10,12,13,14,15,16;
101,122,2,3,4,6,10,12,108;
101,200,2,3,4,6,10,12,108,122;
102,103,3,4,5;
102,104,3,4,6;
102,105,3,4,6,7;
102,106,3,4,6,7,105;
102,107,3,4,6,7,105,106;
102,108,3,4,6,10,12;
102,109,3,4,6,10,12,13,14,15;
102,110,3,4,6,10,12,13,14,15,16;
102,122,3,4,6,10,12,108;
102,200,3,4,6,10,12,108,122;
103,104,3,4,6;
103,105,3,4,6,7;
103,106,3,4,6,7,105;
103,107,3,4,6,7,105,106;
103,108,3,4,6,10,12;
103,109,3,4,6,10,12,13,14,15;
103,110,3,4,6,10,12,13,14,15,16;
103,122,5,4,6,10,12,108
103,200,5,4,6,10,12,108,122;
104,105,6,7;
104,106,6,7,105;
104,107,6,7,105,106;
104,108,6,10,12;
104,109,6,10,12,13,14,15;
104,110,6,10,12,13,14,15,16;
104,122,6,10,12,108;
104,200,6,10,12,108,122;
105,106;
105,107,106;
105,108,7,6,10,12;
105,109,7,6,10,12,13,14,15;
105,110,7,6,10,12,13,14,15,16;
105,122,7,6,10,12,108;
105,200,7,6,10,12,108,122;
106,107;
106,108,105,7,6,10,12;
106,109,105,7,6,10,12,13,14,15;
106,110,105,7,6,10,12,13,14,15,16;
106,122,105,7,6,10,12,108;
106,200,105,7,6,10,12,108,122;
107,108,106,105,7,6,10,12;
107,109,106,105,7,6,10,12,13,14,15;
107,110,106,105,7,6,10,12,13,14,15,16;
107,122,106,105,7,6,10,12,108;
107,200,106,105,7,6,10,12,108,122;
108,109,12,13,14,15;
108,110,12,13,14,15,16;
108,122;
108,200,122;
109,110,15,16;
109,122,15,14,13,12,108;
109,200,15,14,13,12,108,122;