3-state 3-symbol TM #a of G. Lafitte & C. Papazian

Comment: This TM produces 43'925 nonzeros in 1'808'669'046 steps.

Constructed by $Id: hmBBsimu.awk,v 1.12 2010/07/06 19:46:42 heiner Exp $
State on
0
on
1
on
2
on 0 on 1 on 2
Print Move Goto Print Move Goto Print Move Goto
A B1R A2L A1R 1 right B 2 left A 1 right A
B C1L A1L C2R 1 left C 1 left A 2 right C
C Z1R A1L B2R 1 right Z 1 left A 2 right B
Transition table
The same TM just simple.
Simulation is done with repetitions reduced.
The same TM with tape symbol exponents.
The same TM as 2-macro machine.
The same TM as 2-macro machine with pure additive config-TRs.

  Step Tpos St Tape contents
     0    0 A . . . . . 0
     1    1 B . . . . . 10
     2    0 C . . . . . 11
     3   -1 A . . . . .011
     4    0 B . . . . .111
     5   -1 A . . . . .111
     6   -2 A . . . . 0211
     7   -1 B . . . . 1211
     8    0 C . . . . 1211
     9   -1 A . . . . 1211
    10    0 A . . . . 1111
+   13   -3 A . . . .02221   by A/1 * 3
    14   -2 B . . . .12221
    15   -1 C . . . .12221
    16    0 B . . . .12221
    17    1 C . . . .12221
    18    0 A . . . .12221
    19    1 A . . . .12211
+   21   -1 A . . . .12222   by A/1 * 2
+   24    2 A . . . .121110   by A/2 * 3
    25    3 B . . . .1211110
    26    2 C . . . .1211111
    27    1 A . . . .1211111
+   30   -2 A . . . .1222211   by A/1 * 3
+   34    2 A . . . .1111111   by A/2 * 4
+   40   -4 A . . . 02222221   by A/1 * 6
    41   -3 B . . . 12222221
    42   -2 C . . . 12222221
    43   -1 B . . . 12222221
    44    0 C . . . 12222221
    45    1 B . . . 12222221
    46    2 C . . . 12222221
    47    3 B . . . 12222221
    48    2 A . . . 12222221
    49    3 A . . . 12222211
+   51    1 A . . . 12222222   by A/1 * 2
+   54    4 A . . . 122221110   by A/2 * 3
    55    5 B . . . 1222211110
    56    4 C . . . 1222211111
    57    3 A . . . 1222211111
+   60    0 A . . . 1222222211   by A/1 * 3
+   64    4 A . . . 1222111111   by A/2 * 4
+   69   -1 A . . . 1222222221   by A/1 * 5
+   75    5 A . . . 1221111111   by A/2 * 6
+   82   -2 A . . . 1222222222   by A/1 * 7
+   90    6 A . . . 12111111110   by A/2 * 8
    91    7 B . . . 121111111110
    92    6 C . . . 121111111111
    93    5 A . . . 121111111111
+  101   -3 A . . . 122222222211   by A/1 * 8
+  110    6 A . . . 111111111111   by A/2 * 9
+  121   -5 A . . .0222222222221   by A/1 * 11
   122   -4 B . . .1222222222221
   123   -3 C . . .1222222222221
   124   -2 B . . .1222222222221
   125   -1 C . . .1222222222221
   126    0 B . . .1222222222221
   127    1 C . . .1222222222221
   128    2 B . . .1222222222221
   129    3 C . . .1222222222221
   130    4 B . . .1222222222221
   131    5 C . . .1222222222221
   132    6 B . . .1222222222221
   133    7 C . . .1222222222221
   134    6 A . . .1222222222221
   135    7 A . . .1222222222211
+  137    5 A . . .1222222222222   by A/1 * 2
+  140    8 A . . .12222222221110   by A/2 * 3
   141    9 B . . .122222222211110
   142    8 C . . .122222222211111
   143    7 A . . .122222222211111
+  146    4 A . . .122222222222211   by A/1 * 3
+  150    8 A . . .122222222111111   by A/2 * 4
+  155    3 A . . .122222222222221   by A/1 * 5
+  161    9 A . . .122222221111111   by A/2 * 6
+  168    2 A . . .122222222222222   by A/1 * 7
+  176   10 A . . .1222222111111110   by A/2 * 8
   177   11 B . . .12222221111111110
   178   10 C . . .12222221111111111
   179    9 A . . .12222221111111111
+  187    1 A . . .12222222222222211   by A/1 * 8
+  196   10 A . . .12222211111111111   by A/2 * 9
+  206    0 A . . .12222222222222221   by A/1 * 10
+  217   11 A . . .12222111111111111   by A/2 * 11
+  229   -1 A . . .12222222222222222   by A/1 * 12
+  242   12 A . . .122211111111111110   by A/2 * 13
   243   13 B . . .1222111111111111110
   244   12 C . . .1222111111111111111
   245   11 A . . .1222111111111111111
+  258   -2 A . . .1222222222222222211   by A/1 * 13
+  272   12 A . . .1221111111111111111   by A/2 * 14
+  287   -3 A . . .1222222222222222221   by A/1 * 15
+  303   13 A . . .1211111111111111111   by A/2 * 16
+  320   -4 A . . .1222222222222222222   by A/1 * 17
+  338   14 A . . .11111111111111111110   by A/2 * 18
   339   15 B . . .111111111111111111110
   340   14 C . . .111111111111111111111
   341   13 A . . .111111111111111111111
+  360   -6 A . . 0222222222222222222211   by A/1 * 19
   361   -5 B . . 1222222222222222222211
   362   -4 C . . 1222222222222222222211
   363   -3 B . . 1222222222222222222211
   364   -2 C . . 1222222222222222222211
   365   -1 B . . 1222222222222222222211
   366    0 C . . 1222222222222222222211
   367    1 B . . 1222222222222222222211
   368    2 C . . 1222222222222222222211
   369    3 B . . 1222222222222222222211
   370    4 C . . 1222222222222222222211
   371    5 B . . 1222222222222222222211
   372    6 C . . 1222222222222222222211
   373    7 B . . 1222222222222222222211
   374    8 C . . 1222222222222222222211
   375    9 B . . 1222222222222222222211
   376   10 C . . 1222222222222222222211
   377   11 B . . 1222222222222222222211
   378   12 C . . 1222222222222222222211
   379   13 B . . 1222222222222222222211
   380   14 C . . 1222222222222222222211
   381   13 A . . 1222222222222222222211
   382   14 A . . 1222222222222222222111
+  384   12 A . . 1222222222222222222221   by A/1 * 2
+  387   15 A . . 1222222222222222221111   by A/2 * 3
+  391   11 A . . 1222222222222222222222   by A/1 * 4
+  396   16 A . . 12222222222222222111110   by A/2 * 5
   397   17 B . . 122222222222222221111110
   398   16 C . . 122222222222222221111111
   399   15 A . . 122222222222222221111111
+  404   10 A . . 122222222222222222222211   by A/1 * 5
+  410   16 A . . 122222222222222211111111   by A/2 * 6
+  417    9 A . . 122222222222222222222221   by A/1 * 7
+  425   17 A . . 122222222222222111111111   by A/2 * 8
+  434    8 A . . 122222222222222222222222   by A/1 * 9
+  444   18 A . . 1222222222222211111111110   by A/2 * 10
   445   19 B . . 12222222222222111111111110
   446   18 C . . 12222222222222111111111111
   447   17 A . . 12222222222222111111111111
+  457    7 A . . 12222222222222222222222211   by A/1 * 10
+  468   18 A . . 12222222222221111111111111   by A/2 * 11
+  480    6 A . . 12222222222222222222222221   by A/1 * 12
+  493   19 A . . 12222222222211111111111111   by A/2 * 13
+  507    5 A . . 12222222222222222222222222   by A/1 * 14
+  522   20 A . . 122222222221111111111111110   by A/2 * 15
   523   21 B . . 1222222222211111111111111110
   524   20 C . . 1222222222211111111111111111
   525   19 A . . 1222222222211111111111111111
+  540    4 A . . 1222222222222222222222222211   by A/1 * 15
+  556   20 A . . 1222222222111111111111111111   by A/2 * 16
+  573    3 A . . 1222222222222222222222222221   by A/1 * 17
+  591   21 A . . 1222222221111111111111111111   by A/2 * 18
+  610    2 A . . 1222222222222222222222222222   by A/1 * 19
+  630   22 A . . 12222222111111111111111111110   by A/2 * 20
   631   23 B . . 122222221111111111111111111110
   632   22 C . . 122222221111111111111111111111
   633   21 A . . 122222221111111111111111111111
+  653    1 A . . 122222222222222222222222222211   by A/1 * 20
+  674   22 A . . 122222211111111111111111111111   by A/2 * 21
+  696    0 A . . 122222222222222222222222222221   by A/1 * 22
+  719   23 A . . 122222111111111111111111111111   by A/2 * 23
+  743   -1 A . . 122222222222222222222222222222   by A/1 * 24
+  768   24 A . . 1222211111111111111111111111110   by A/2 * 25
   769   25 B . . 12222111111111111111111111111110
   770   24 C . . 12222111111111111111111111111111
   771   23 A . . 12222111111111111111111111111111
+  796   -2 A . . 12222222222222222222222222222211   by A/1 * 25
+  822   24 A . . 12221111111111111111111111111111   by A/2 * 26
+  849   -3 A . . 12222222222222222222222222222221   by A/1 * 27
+  877   25 A . . 12211111111111111111111111111111   by A/2 * 28
+  906   -4 A . . 12222222222222222222222222222222   by A/1 * 29
+  936   26 A . . 121111111111111111111111111111110   by A/2 * 30
   937   27 B . . 1211111111111111111111111111111110
   938   26 C . . 1211111111111111111111111111111111
   939   25 A . . 1211111111111111111111111111111111
+  969   -5 A . . 1222222222222222222222222222222211   by A/1 * 30
+ 1000   26 A . . 1111111111111111111111111111111111   by A/2 * 31
+ 1033   -7 A . .02222222222222222222222222222222221   by A/1 * 33
  1034   -6 B . .12222222222222222222222222222222221
  1035   -5 C . .12222222222222222222222222222222221
  1036   -4 B . .12222222222222222222222222222222221
  1037   -3 C . .12222222222222222222222222222222221
  1038   -2 B . .12222222222222222222222222222222221
  1039   -1 C . .12222222222222222222222222222222221
  1040    0 B . .12222222222222222222222222222222221
  1041    1 C . .12222222222222222222222222222222221
  1042    2 B . .12222222222222222222222222222222221
  1043    3 C . .12222222222222222222222222222222221
  1044    4 B . .12222222222222222222222222222222221
  1045    5 C . .12222222222222222222222222222222221
  1046    6 B . .12222222222222222222222222222222221
  1047    7 C . .12222222222222222222222222222222221
  1048    8 B . .12222222222222222222222222222222221
  1049    9 C . .12222222222222222222222222222222221
  1050   10 B . .12222222222222222222222222222222221
  1051   11 C . .12222222222222222222222222222222221
  1052   12 B . .12222222222222222222222222222222221
  1053   13 C . .12222222222222222222222222222222221
  1054   14 B . .12222222222222222222222222222222221
  1055   15 C . .12222222222222222222222222222222221
  1056   16 B . .12222222222222222222222222222222221
  1057   17 C . .12222222222222222222222222222222221
  1058   18 B . .12222222222222222222222222222222221

After 1058 steps (201 lines): state = B.
Produced     35 nonzeros.
Tape index 18, scanned [-7 .. 27].
State Count Execution count First in step
on 0 on 1 on 2 on 0 on 1 on 2
A 960 21 486 453 0 5 9
B 50 14 2 34 1 4 7
C 48   18 30   2 15
Execution statistics

The same TM just simple.
The same TM with tape symbol exponents.
The same TM as 2-macro machine.
The same TM as 2-macro machine with pure additive config-TRs.

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Tue Jul 6 22:11:44 CEST 2010