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

Comment: This TM produces 43'925 nonzeros in 1'808'669'066 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 B1L A1L C2R 1 left B 1 left A 2 right C
C Z1R C1L B2R 1 right Z 1 left C 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 B . . . . . 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 C . . . . 1211
    10    0 B . . . . 1211
    11   -1 A . . . . 1211
    12    0 A . . . . 1111
+   15   -3 A . . . .02221   by A/1 * 3
    16   -2 B . . . .12221
    17   -1 C . . . .12221
    18    0 B . . . .12221
    19    1 C . . . .12221
    20    0 C . . . .12221
    21    1 B . . . .12221
    22    0 A . . . .12221
    23    1 A . . . .12211
+   25   -1 A . . . .12222   by A/1 * 2
+   28    2 A . . . .121110   by A/2 * 3
    29    3 B . . . .1211110
    30    2 B . . . .1211111
    31    1 A . . . .1211111
+   34   -2 A . . . .1222211   by A/1 * 3
+   38    2 A . . . .1111111   by A/2 * 4
+   44   -4 A . . . 02222221   by A/1 * 6
    45   -3 B . . . 12222221
    46   -2 C . . . 12222221
    47   -1 B . . . 12222221
    48    0 C . . . 12222221
    49    1 B . . . 12222221
    50    2 C . . . 12222221
    51    3 B . . . 12222221
    52    2 A . . . 12222221
    53    3 A . . . 12222211
+   55    1 A . . . 12222222   by A/1 * 2
+   58    4 A . . . 122221110   by A/2 * 3
    59    5 B . . . 1222211110
    60    4 B . . . 1222211111
    61    3 A . . . 1222211111
+   64    0 A . . . 1222222211   by A/1 * 3
+   68    4 A . . . 1222111111   by A/2 * 4
+   73   -1 A . . . 1222222221   by A/1 * 5
+   79    5 A . . . 1221111111   by A/2 * 6
+   86   -2 A . . . 1222222222   by A/1 * 7
+   94    6 A . . . 12111111110   by A/2 * 8
    95    7 B . . . 121111111110
    96    6 B . . . 121111111111
    97    5 A . . . 121111111111
+  105   -3 A . . . 122222222211   by A/1 * 8
+  114    6 A . . . 111111111111   by A/2 * 9
+  125   -5 A . . .0222222222221   by A/1 * 11
   126   -4 B . . .1222222222221
   127   -3 C . . .1222222222221
   128   -2 B . . .1222222222221
   129   -1 C . . .1222222222221
   130    0 B . . .1222222222221
   131    1 C . . .1222222222221
   132    2 B . . .1222222222221
   133    3 C . . .1222222222221
   134    4 B . . .1222222222221
   135    5 C . . .1222222222221
   136    6 B . . .1222222222221
   137    7 C . . .1222222222221
   138    6 C . . .1222222222221
   139    7 B . . .1222222222221
   140    6 A . . .1222222222221
   141    7 A . . .1222222222211
+  143    5 A . . .1222222222222   by A/1 * 2
+  146    8 A . . .12222222221110   by A/2 * 3
   147    9 B . . .122222222211110
   148    8 B . . .122222222211111
   149    7 A . . .122222222211111
+  152    4 A . . .122222222222211   by A/1 * 3
+  156    8 A . . .122222222111111   by A/2 * 4
+  161    3 A . . .122222222222221   by A/1 * 5
+  167    9 A . . .122222221111111   by A/2 * 6
+  174    2 A . . .122222222222222   by A/1 * 7
+  182   10 A . . .1222222111111110   by A/2 * 8
   183   11 B . . .12222221111111110
   184   10 B . . .12222221111111111
   185    9 A . . .12222221111111111
+  193    1 A . . .12222222222222211   by A/1 * 8
+  202   10 A . . .12222211111111111   by A/2 * 9
+  212    0 A . . .12222222222222221   by A/1 * 10
+  223   11 A . . .12222111111111111   by A/2 * 11
+  235   -1 A . . .12222222222222222   by A/1 * 12
+  248   12 A . . .122211111111111110   by A/2 * 13
   249   13 B . . .1222111111111111110
   250   12 B . . .1222111111111111111
   251   11 A . . .1222111111111111111
+  264   -2 A . . .1222222222222222211   by A/1 * 13
+  278   12 A . . .1221111111111111111   by A/2 * 14
+  293   -3 A . . .1222222222222222221   by A/1 * 15
+  309   13 A . . .1211111111111111111   by A/2 * 16
+  326   -4 A . . .1222222222222222222   by A/1 * 17
+  344   14 A . . .11111111111111111110   by A/2 * 18
   345   15 B . . .111111111111111111110
   346   14 B . . .111111111111111111111
   347   13 A . . .111111111111111111111
+  366   -6 A . . 0222222222222222222211   by A/1 * 19
   367   -5 B . . 1222222222222222222211
   368   -4 C . . 1222222222222222222211
   369   -3 B . . 1222222222222222222211
   370   -2 C . . 1222222222222222222211
   371   -1 B . . 1222222222222222222211
   372    0 C . . 1222222222222222222211
   373    1 B . . 1222222222222222222211
   374    2 C . . 1222222222222222222211
   375    3 B . . 1222222222222222222211
   376    4 C . . 1222222222222222222211
   377    5 B . . 1222222222222222222211
   378    6 C . . 1222222222222222222211
   379    7 B . . 1222222222222222222211
   380    8 C . . 1222222222222222222211
   381    9 B . . 1222222222222222222211
   382   10 C . . 1222222222222222222211
   383   11 B . . 1222222222222222222211
   384   12 C . . 1222222222222222222211
   385   13 B . . 1222222222222222222211
   386   14 C . . 1222222222222222222211
   387   13 C . . 1222222222222222222211
   388   14 B . . 1222222222222222222211
   389   13 A . . 1222222222222222222211
   390   14 A . . 1222222222222222222111
+  392   12 A . . 1222222222222222222221   by A/1 * 2
+  395   15 A . . 1222222222222222221111   by A/2 * 3
+  399   11 A . . 1222222222222222222222   by A/1 * 4
+  404   16 A . . 12222222222222222111110   by A/2 * 5
   405   17 B . . 122222222222222221111110
   406   16 B . . 122222222222222221111111
   407   15 A . . 122222222222222221111111
+  412   10 A . . 122222222222222222222211   by A/1 * 5
+  418   16 A . . 122222222222222211111111   by A/2 * 6
+  425    9 A . . 122222222222222222222221   by A/1 * 7
+  433   17 A . . 122222222222222111111111   by A/2 * 8
+  442    8 A . . 122222222222222222222222   by A/1 * 9
+  452   18 A . . 1222222222222211111111110   by A/2 * 10
   453   19 B . . 12222222222222111111111110
   454   18 B . . 12222222222222111111111111
   455   17 A . . 12222222222222111111111111
+  465    7 A . . 12222222222222222222222211   by A/1 * 10
+  476   18 A . . 12222222222221111111111111   by A/2 * 11
+  488    6 A . . 12222222222222222222222221   by A/1 * 12
+  501   19 A . . 12222222222211111111111111   by A/2 * 13
+  515    5 A . . 12222222222222222222222222   by A/1 * 14
+  530   20 A . . 122222222221111111111111110   by A/2 * 15
   531   21 B . . 1222222222211111111111111110
   532   20 B . . 1222222222211111111111111111
   533   19 A . . 1222222222211111111111111111
+  548    4 A . . 1222222222222222222222222211   by A/1 * 15
+  564   20 A . . 1222222222111111111111111111   by A/2 * 16
+  581    3 A . . 1222222222222222222222222221   by A/1 * 17
+  599   21 A . . 1222222221111111111111111111   by A/2 * 18
+  618    2 A . . 1222222222222222222222222222   by A/1 * 19
+  638   22 A . . 12222222111111111111111111110   by A/2 * 20
   639   23 B . . 122222221111111111111111111110
   640   22 B . . 122222221111111111111111111111
   641   21 A . . 122222221111111111111111111111
+  661    1 A . . 122222222222222222222222222211   by A/1 * 20
+  682   22 A . . 122222211111111111111111111111   by A/2 * 21
+  704    0 A . . 122222222222222222222222222221   by A/1 * 22
+  727   23 A . . 122222111111111111111111111111   by A/2 * 23
+  751   -1 A . . 122222222222222222222222222222   by A/1 * 24
+  776   24 A . . 1222211111111111111111111111110   by A/2 * 25
   777   25 B . . 12222111111111111111111111111110
   778   24 B . . 12222111111111111111111111111111
   779   23 A . . 12222111111111111111111111111111
+  804   -2 A . . 12222222222222222222222222222211   by A/1 * 25
+  830   24 A . . 12221111111111111111111111111111   by A/2 * 26
+  857   -3 A . . 12222222222222222222222222222221   by A/1 * 27
+  885   25 A . . 12211111111111111111111111111111   by A/2 * 28
+  914   -4 A . . 12222222222222222222222222222222   by A/1 * 29
+  944   26 A . . 121111111111111111111111111111110   by A/2 * 30
   945   27 B . . 1211111111111111111111111111111110
   946   26 B . . 1211111111111111111111111111111111
   947   25 A . . 1211111111111111111111111111111111
+  977   -5 A . . 1222222222222222222222222222222211   by A/1 * 30
+ 1008   26 A . . 1111111111111111111111111111111111   by A/2 * 31
+ 1041   -7 A . .02222222222222222222222222222222221   by A/1 * 33
  1042   -6 B . .12222222222222222222222222222222221
  1043   -5 C . .12222222222222222222222222222222221
  1044   -4 B . .12222222222222222222222222222222221
  1045   -3 C . .12222222222222222222222222222222221
  1046   -2 B . .12222222222222222222222222222222221
  1047   -1 C . .12222222222222222222222222222222221
  1048    0 B . .12222222222222222222222222222222221
  1049    1 C . .12222222222222222222222222222222221
  1050    2 B . .12222222222222222222222222222222221
  1051    3 C . .12222222222222222222222222222222221
  1052    4 B . .12222222222222222222222222222222221
  1053    5 C . .12222222222222222222222222222222221
  1054    6 B . .12222222222222222222222222222222221
  1055    7 C . .12222222222222222222222222222222221
  1056    8 B . .12222222222222222222222222222222221
  1057    9 C . .12222222222222222222222222222222221
  1058   10 B . .12222222222222222222222222222222221

After 1058 steps (201 lines): state = B.
Produced     35 nonzeros.
Tape index 10, 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 11
B 64 14 20 30 1 2 7
C 34   4 30   8 9
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 22:11:47 CEST 2010