3-state 3-symbol "surprise in a box" of Allen Brady 

Comment: The halting transition has been modified to print a 1
Comment: A.B.: 2 1 1 , 2-1 2 , 3-1 1;
Comment: A.B.: 1-1 1 , 2 1 2 , 2 1 1;
Comment: A.B.: 0 0 0 , 1-1 2 , 3-1 0;
Comment: Brady's number: # 1732367
Comment: This TM produces 31 nonzeros in 2315619 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 B2L C1L 1 right B 2 left B 1 left C
B A1L B2R B1R 1 left A 2 right B 1 right B
C Z1R A2L C0L 1 right Z 2 left A 0 left C
Transition table 
The same TM just simple.
The same TM with repetitions reduced.
Simulation is done with tape symbol exponents.
The same TM as 6-bck-bck-bck-3-macro machine.
The same TM as 6-bck-bck-bck-3-macro machine with pure additive config-TRs.

  Step  Tpos  Tape contents
     0     0  <A
     1     1  1 B>
     2     0  1 <A 1
     3    -1  <B 2 1
     4    -2  <A 1 2 1
     5    -1  1 B> 1 2 1
     6     0  1 2 B> 2 1
     7     1  1 2 1 B> 1
     8     2  1 2 1 2 B>
     9     1  1 2 1 2 <A 1
    10     0  1 2 1 <C 1 1
    11    -1  1 2 <A 2 1 1
    12    -2  1 <C 1 2 1 1
    13    -3  <A 2 1 2 1 1
    14    -2  1 B> 2 1 2 1 1
    15    -1  1 1 B> 1 2 1 1
    16     0  1 1 2 B> 2 1 1
    17     1  1 1 2 1 B> 1 1
+   19     3  1 1 2 1 2 2 B>
    20     2  1 1 2 1 2 2 <A 1
    21     1  1 1 2 1 2 <C 1 1
    22     0  1 1 2 1 <C 0 1 1
    23    -1  1 1 2 <A 2 0 1 1
    24    -2  1 1 <C 1 2 0 1 1
    25    -3  1 <A 2 1 2 0 1 1
    26    -4  <B 2 2 1 2 0 1 1
    27    -5  <A 1 2 2 1 2 0 1 1
    28    -4  1 B> 1 2 2 1 2 0 1 1
    29    -3  1 2 B> 2 2 1 2 0 1 1
+   31    -1  1 2 1 1 B> 1 2 0 1 1
    32     0  1 2 1 1 2 B> 2 0 1 1
    33     1  1 2 1 1 2 1 B> 0 1 1
    34     0  1 2 1 1 2 1 <A 13
    35    -1  1 2 1 1 2 <B 2 13
    36     0  1 2 13 B> 2 13
    37     1  1 2 14 B> 13
+   40     4  1 2 14 23 B>
    41     3  1 2 14 23 <A 1
    42     2  1 2 14 2 2 <C 1 1
+   44     0  1 2 14 <C 0 0 1 1
    45    -1  1 2 13 <A 2 0 0 1 1
    46    -2  1 2 1 1 <B 2 2 0 0 1 1
    47    -1  1 2 1 2 B> 2 2 0 0 1 1
+   49     1  1 2 1 2 1 1 B> 0 0 1 1
    50     0  1 2 1 2 1 1 <A 1 0 1 1
    51    -1  1 2 1 2 1 <B 2 1 0 1 1
    52     0  1 2 1 2 2 B> 2 1 0 1 1
    53     1  1 2 1 2 2 1 B> 1 0 1 1
    54     2  1 2 1 2 2 1 2 B> 0 1 1
    55     1  1 2 1 2 2 1 2 <A 13
    56     0  1 2 1 2 2 1 <C 14
    57    -1  1 2 1 2 2 <A 2 14
    58    -2  1 2 1 2 <C 1 2 14
    59    -3  1 2 1 <C 0 1 2 14
    60    -4  1 2 <A 2 0 1 2 14
    61    -5  1 <C 1 2 0 1 2 14
    62    -6  <A 2 1 2 0 1 2 14
    63    -5  1 B> 2 1 2 0 1 2 14
    64    -4  1 1 B> 1 2 0 1 2 14
    65    -3  1 1 2 B> 2 0 1 2 14
    66    -2  1 1 2 1 B> 0 1 2 14
    67    -3  1 1 2 1 <A 1 1 2 14
    68    -4  1 1 2 <B 2 1 1 2 14
    69    -3  13 B> 2 1 1 2 14
    70    -2  14 B> 1 1 2 14
+   72     0  14 2 2 B> 2 14
    73     1  14 2 2 1 B> 14
+   77     5  14 2 2 1 24 B>
    78     4  14 2 2 1 24 <A 1
    79     3  14 2 2 1 23 <C 1 1
+   82     0  14 2 2 1 <C 03 1 1
    83    -1  14 2 2 <A 2 03 1 1
    84    -2  14 2 <C 1 2 03 1 1
    85    -3  14 <C 0 1 2 03 1 1
    86    -4  13 <A 2 0 1 2 03 1 1
    87    -5  1 1 <B 2 2 0 1 2 03 1 1
    88    -4  1 2 B> 2 2 0 1 2 03 1 1
+   90    -2  1 2 1 1 B> 0 1 2 03 1 1
    91    -3  1 2 1 1 <A 1 1 2 03 1 1
    92    -4  1 2 1 <B 2 1 1 2 03 1 1
    93    -3  1 2 2 B> 2 1 1 2 03 1 1
    94    -2  1 2 2 1 B> 1 1 2 03 1 1
+   96     0  1 2 2 1 2 2 B> 2 03 1 1
    97     1  1 2 2 1 2 2 1 B> 03 1 1
    98     0  1 2 2 1 2 2 1 <A 1 0 0 1 1
    99    -1  1 2 2 1 2 2 <B 2 1 0 0 1 1
   100     0  1 2 2 1 2 1 B> 2 1 0 0 1 1
   101     1  1 2 2 1 2 1 1 B> 1 0 0 1 1
   102     2  1 2 2 1 2 1 1 2 B> 0 0 1 1
   103     1  1 2 2 1 2 1 1 2 <A 1 0 1 1
   104     0  1 2 2 1 2 1 1 <C 1 1 0 1 1
   105    -1  1 2 2 1 2 1 <A 2 1 1 0 1 1
   106    -2  1 2 2 1 2 <B 2 2 1 1 0 1 1
   107    -1  1 2 2 1 1 B> 2 2 1 1 0 1 1
+  109     1  1 2 2 14 B> 1 1 0 1 1
+  111     3  1 2 2 14 2 2 B> 0 1 1
   112     2  1 2 2 14 2 2 <A 13
   113     1  1 2 2 14 2 <C 14
   114     0  1 2 2 14 <C 0 14
   115    -1  1 2 2 13 <A 2 0 14
   116    -2  1 2 2 1 1 <B 2 2 0 14
   117    -1  1 2 2 1 2 B> 2 2 0 14
+  119     1  1 2 2 1 2 1 1 B> 0 14
   120     0  1 2 2 1 2 1 1 <A 15
   121    -1  1 2 2 1 2 1 <B 2 15
   122     0  1 2 2 1 2 2 B> 2 15
   123     1  1 2 2 1 2 2 1 B> 15
+  128     6  1 2 2 1 2 2 1 25 B>
   129     5  1 2 2 1 2 2 1 25 <A 1
   130     4  1 2 2 1 2 2 1 24 <C 1 1
+  134     0  1 2 2 1 2 2 1 <C 04 1 1
   135    -1  1 2 2 1 2 2 <A 2 04 1 1
   136    -2  1 2 2 1 2 <C 1 2 04 1 1
   137    -3  1 2 2 1 <C 0 1 2 04 1 1
   138    -4  1 2 2 <A 2 0 1 2 04 1 1
   139    -5  1 2 <C 1 2 0 1 2 04 1 1
   140    -6  1 <C 0 1 2 0 1 2 04 1 1
   141    -7  <A 2 0 1 2 0 1 2 04 1 1
   142    -6  1 B> 2 0 1 2 0 1 2 04 1 1
   143    -5  1 1 B> 0 1 2 0 1 2 04 1 1
   144    -6  1 1 <A 1 1 2 0 1 2 04 1 1
   145    -7  1 <B 2 1 1 2 0 1 2 04 1 1
   146    -6  2 B> 2 1 1 2 0 1 2 04 1 1
   147    -5  2 1 B> 1 1 2 0 1 2 04 1 1
+  149    -3  2 1 2 2 B> 2 0 1 2 04 1 1
   150    -2  2 1 2 2 1 B> 0 1 2 04 1 1
   151    -3  2 1 2 2 1 <A 1 1 2 04 1 1
   152    -4  2 1 2 2 <B 2 1 1 2 04 1 1
   153    -3  2 1 2 1 B> 2 1 1 2 04 1 1
   154    -2  2 1 2 1 1 B> 1 1 2 04 1 1
+  156     0  2 1 2 1 1 2 2 B> 2 04 1 1
   157     1  2 1 2 1 1 2 2 1 B> 04 1 1
   158     0  2 1 2 1 1 2 2 1 <A 1 03 1 1
   159    -1  2 1 2 1 1 2 2 <B 2 1 03 1 1
   160     0  2 1 2 1 1 2 1 B> 2 1 03 1 1
   161     1  2 1 2 1 1 2 1 1 B> 1 03 1 1
   162     2  2 1 2 1 1 2 1 1 2 B> 03 1 1
   163     1  2 1 2 1 1 2 1 1 2 <A 1 0 0 1 1
   164     0  2 1 2 1 1 2 1 1 <C 1 1 0 0 1 1
   165    -1  2 1 2 1 1 2 1 <A 2 1 1 0 0 1 1
   166    -2  2 1 2 1 1 2 <B 2 2 1 1 0 0 1 1
   167    -1  2 1 2 13 B> 2 2 1 1 0 0 1 1
+  169     1  2 1 2 15 B> 1 1 0 0 1 1
+  171     3  2 1 2 15 2 2 B> 0 0 1 1
   172     2  2 1 2 15 2 2 <A 1 0 1 1
   173     1  2 1 2 15 2 <C 1 1 0 1 1
   174     0  2 1 2 15 <C 0 1 1 0 1 1
   175    -1  2 1 2 14 <A 2 0 1 1 0 1 1
   176    -2  2 1 2 13 <B 2 2 0 1 1 0 1 1
   177    -1  2 1 2 1 1 2 B> 2 2 0 1 1 0 1 1
+  179     1  2 1 2 1 1 2 1 1 B> 0 1 1 0 1 1
   180     0  2 1 2 1 1 2 1 1 <A 13 0 1 1
   181    -1  2 1 2 1 1 2 1 <B 2 13 0 1 1
   182     0  2 1 2 1 1 2 2 B> 2 13 0 1 1
   183     1  2 1 2 1 1 2 2 1 B> 13 0 1 1
+  186     4  2 1 2 1 1 2 2 1 23 B> 0 1 1
   187     3  2 1 2 1 1 2 2 1 23 <A 13
   188     2  2 1 2 1 1 2 2 1 2 2 <C 14
+  190     0  2 1 2 1 1 2 2 1 <C 0 0 14
   191    -1  2 1 2 1 1 2 2 <A 2 0 0 14
   192    -2  2 1 2 1 1 2 <C 1 2 0 0 14
   193    -3  2 1 2 1 1 <C 0 1 2 0 0 14
   194    -4  2 1 2 1 <A 2 0 1 2 0 0 14
   195    -5  2 1 2 <B 2 2 0 1 2 0 0 14
   196    -4  2 1 1 B> 2 2 0 1 2 0 0 14
+  198    -2  2 14 B> 0 1 2 0 0 14
   199    -3  2 14 <A 1 1 2 0 0 14
   200    -4  2 13 <B 2 1 1 2 0 0 14
   201    -3  2 1 1 2 B> 2 1 1 2 0 0 14
   202    -2  2 1 1 2 1 B> 1 1 2 0 0 14
+  204     0  2 1 1 2 1 2 2 B> 2 0 0 14
   205     1  2 1 1 2 1 2 2 1 B> 0 0 14
   206     0  2 1 1 2 1 2 2 1 <A 1 0 14
   207    -1  2 1 1 2 1 2 2 <B 2 1 0 14
   208     0  2 1 1 2 1 2 1 B> 2 1 0 14
   209     1  2 1 1 2 1 2 1 1 B> 1 0 14
   210     2  2 1 1 2 1 2 1 1 2 B> 0 14
   211     1  2 1 1 2 1 2 1 1 2 <A 15
   212     0  2 1 1 2 1 2 1 1 <C 16
   213    -1  2 1 1 2 1 2 1 <A 2 16
   214    -2  2 1 1 2 1 2 <B 2 2 16
   215    -1  2 1 1 2 1 1 B> 2 2 16
+  217     1  2 1 1 2 14 B> 16
+  223     7  2 1 1 2 14 26 B>
   224     6  2 1 1 2 14 26 <A 1
   225     5  2 1 1 2 14 25 <C 1 1
+  230     0  2 1 1 2 14 <C 05 1 1
   231    -1  2 1 1 2 13 <A 2 05 1 1
   232    -2  2 1 1 2 1 1 <B 2 2 05 1 1
   233    -1  2 1 1 2 1 2 B> 2 2 05 1 1
+  235     1  2 1 1 2 1 2 1 1 B> 05 1 1
   236     0  2 1 1 2 1 2 1 1 <A 1 04 1 1
   237    -1  2 1 1 2 1 2 1 <B 2 1 04 1 1
   238     0  2 1 1 2 1 2 2 B> 2 1 04 1 1
   239     1  2 1 1 2 1 2 2 1 B> 1 04 1 1
   240     2  2 1 1 2 1 2 2 1 2 B> 04 1 1
   241     1  2 1 1 2 1 2 2 1 2 <A 1 03 1 1
   242     0  2 1 1 2 1 2 2 1 <C 1 1 03 1 1
   243    -1  2 1 1 2 1 2 2 <A 2 1 1 03 1 1
   244    -2  2 1 1 2 1 2 <C 1 2 1 1 03 1 1
   245    -3  2 1 1 2 1 <C 0 1 2 1 1 03 1 1

After 245 steps (201 lines): state = C.
Produced     11 nonzeros.
Tape index -3, scanned [-7 .. 7].
State Count Execution count First in step
on 0 on 1 on 2 on 0 on 1 on 2
A 53 6 24 23 0 2 9
B 145 30 60 55 1 5 6
C 47   22 25   10 21
Execution statistics 

The same TM just simple.

The same TM with repetitions reduced.

The same TM as 6-bck-bck-bck-3-macro machine.

The same TM as 6-bck-bck-bck-3-macro machine with pure additive config-TRs.

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Tue Jul 6 22:11:30 CEST 2010