Run with partial sonnet success

Input: A program of the A::B system which has 4 tokens: `A#`, `#A`, `B#` and `#B`.
    Translate it into an alternative bdqp-program-syntax first:
    Its a system with 4 tokens as well: `r1`, `l1`, `r2` and `l2`. 
    `A#` becomes `r1`, `#A` becomes `l1`, `B#` becomes `r2`, `#B` becomes `l2`


    A bdqp-program is a sequence of tokens. Example:

        [r2 r1 l2 l1 r2]

    To *compute* a program, we must rewrite neighbor tokens, using the rules / mutations:

        1.) r1 l1 -> nothing
        2.) r2 l2 -> nothing
        3.) r1 l2 -> l2 r1
        4.) r2 l1 -> l1 r2


    To reiterate: The above are the only legal mutations.

    All other combinations are "nop" (no operation). ITS STRICTLY FORBIDDEN to make a mutation using anything except the list of legal moves provided above.

        nop.) r1 r1
        nop.) r2 r2
        nop.) l2 l2
        nop.) l1 l1

        nop.) l1 r1
        nop.) l2 r2

        nop.) l1 l2
        nop.) l2 l1

        nop.) r1 r2
        nop.) r2 r1

    IF and only IF NO MORE LEGAL MOVES are available, the riddle is solved.
    After solving the riddle, it must be translated back to the A::B syntax.
    `r1` becomes `A#`, `l1` becomes `#A`, `r2` becomes `B#`, `l2` becomes `#B`

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Follow the following format.

Question: The riddle. Contains ONLY the letters A and B with a # to either side of the letter. Must be translated into bdqp before processing.
Reasoning: To ${produce the answer}, we solve the given riddle, step by step. Be very verbose. Every step MUST be verbalized. Apply one action in each step only. Verbalize what exactly was applied and what was the result of that action. Repeat this process until the riddle is solved. Follow the examples EXACTLY. Its more important to follow the structure exactly, than it is to produce the correct answer of the riddle itself. Be maximally adhereant to the examples.
Answer: The final set of letters and #s. This is the answer to the riddle. Must be in A::B Syntax and contained in a <solution> tag.

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Question: <problem>A# #B B# A# #B #B B# B# B# A# #B #A</problem> Reasoning: Starting string: A# #B B# A# #B #B B# B# B# A# #B #A...Translated string: ['r1', 'l2', 'r2', 'r1', 'l2', 'l2', 'r2', 'r2', 'r2', 'r1', 'l2', 'l1']...Starting round, tokens: [1=r1, 2=l2, 3=r2, 4=r1, 5=l2, 6=l2, 7=r2, 8=r2, 9=r2, 10=r1, 11=l2, 12=l1,]...Pos 1=r1 2=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=r1, 3=r2, 4=r1, 5=l2, 6=l2, 7=r2, 8=r2, 9=r2, 10=r1, 11=l2, 12=l1,]...Pos 2=r1 3=r2: Found 2=r1 3=r2. Rule: nop...Pos 3=r2 4=r1: Found 3=r2 4=r1. Rule: nop...Pos 4=r1 5=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=r1, 3=r2, 4=l2, 5=r1, 6=l2, 7=r2, 8=r2, 9=r2, 10=r1, 11=l2, 12=l1,]...Pos 5=r1 6=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=r1, 3=r2, 4=l2, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=r1, 11=l2, 12=l1,]...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r2: Found 7=r2 8=r2. Rule: nop...Pos 8=r2 9=r2: Found 8=r2 9=r2. Rule: nop...Pos 9=r2 10=r1: Found 9=r2 10=r1. Rule: nop...Pos 10=r1 11=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=r1, 3=r2, 4=l2, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=l2, 11=r1, 12=l1,]...Pos 11=r1 12=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=r1, 3=r2, 4=l2, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=l2, 11=-, 12=-,]...End out round. Tokens: [1=l2, 2=r1, 3=r2, 4=l2, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=l2, 11=-, 12=-,]...Deleting all '-' tokens, [11, 12], number of tokens in next round: 10...Starting round, tokens: [1=l2, 2=r1, 3=r2, 4=l2, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=l2, 11=-, 12=-,]...Pos 1=l2 2=r1: Found 1=l2 2=r1. Rule: nop...Pos 2=r1 3=r2: Found 2=r1 3=r2. Rule: nop...Pos 3=r2 4=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=r1, 3=-, 4=-, 5=l2, 6=r1, 7=r2, 8=r2, 9=r2, 10=l2, 11=-, 12=-,]...Pos 5=l2 6=r1: Found 5=l2 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r2: Found 7=r2 8=r2. Rule: nop...Pos 8=r2 9=r2: Found 8=r2 9=r2. Rule: nop...Pos 9=r2 10=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=r1, 3=-, 4=-, 5=l2, 6=r1, 7=r2, 8=r2, 9=-, 10=-, 11=-, 12=-,]...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...End out round. Tokens: [1=l2, 2=r1, 3=-, 4=-, 5=l2, 6=r1, 7=r2, 8=r2, 9=-, 10=-, 11=-, 12=-,]...Deleting all '-' tokens, [3, 4, 9, 10, 11, 12], number of tokens in next round: 6...Starting round, tokens: [1=l2, 2=r1, 3=-, 4=-, 5=l2, 6=r1, 7=r2, 8=r2, 9=-, 10=-, 11=-, 12=-,]...Pos 1=l2 2=r1: Found 1=l2 2=r1. Rule: nop...Pos 2=r1 3=-: Found 2=r1 3=-. Rule: nop...Pos 3=- 4=-: Found 3=- 4=-. Rule: nop...Pos 4=- 5=l2: Found 4=- 5=l2. Rule: nop...Pos 5=l2 6=r1: Found 5=l2 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r2: Found 7=r2 8=r2. Rule: nop...Pos 8=r2 9=-: Found 8=r2 9=-. Rule: nop...Pos 9=- 10=-: Found 9=- 10=-. Rule: nop...Pos 10=- 11=-: Found 10=- 11=-. Rule: nop...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l2, 2=r1, 3=-, 4=-, 5=l2, 6=r1, 7=r2, 8=r2, 9=-, 10=-, 11=-, 12=-,]...Translated solution: ['#B', 'A#', '-', '-', '#B', 'A#', 'B#', 'B#', '-', '-', '-', '-']...<solution>#B A# - - #B A# B# B# - - - -</solution>
Answer: <solution>#B #B A# A# B# B#</solution>

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Question: <problem>#A #B B# #A #B #B A# #A A# B# A# A#</problem> Reasoning: Starting string: #A #B B# #A #B #B A# #A A# B# A# A#...Translated string: ['l1', 'l2', 'r2', 'l1', 'l2', 'l2', 'r1', 'l1', 'r1', 'r2', 'r1', 'r1']...Starting round, tokens: [1=l1, 2=l2, 3=r2, 4=l1, 5=l2, 6=l2, 7=r1, 8=l1, 9=r1, 10=r2, 11=r1, 12=r1,]...Pos 1=l1 2=l2: Found 1=l1 2=l2. Rule: nop...Pos 2=l2 3=r2: Found 2=l2 3=r2. Rule: nop...Pos 3=r2 4=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=l1, 2=l2, 3=l1, 4=r2, 5=l2, 6=l2, 7=r1, 8=l1, 9=r1, 10=r2, 11=r1, 12=r1,]...Pos 4=r2 5=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l1, 2=l2, 3=l1, 4=-, 5=-, 6=l2, 7=r1, 8=l1, 9=r1, 10=r2, 11=r1, 12=r1,]...Pos 6=l2 7=r1: Found 6=l2 7=r1. Rule: nop...Pos 7=r1 8=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l1, 2=l2, 3=l1, 4=-, 5=-, 6=l2, 7=-, 8=-, 9=r1, 10=r2, 11=r1, 12=r1,]...Pos 9=r1 10=r2: Found 9=r1 10=r2. Rule: nop...Pos 10=r2 11=r1: Found 10=r2 11=r1. Rule: nop...Pos 11=r1 12=r1: Found 11=r1 12=r1. Rule: nop...End out round. Tokens: [1=l1, 2=l2, 3=l1, 4=-, 5=-, 6=l2, 7=-, 8=-, 9=r1, 10=r2, 11=r1, 12=r1,]...Deleting all '-' tokens, [4, 5, 7, 8], number of tokens in next round: 8...Starting round, tokens: [1=l1, 2=l2, 3=l1, 4=-, 5=-, 6=l2, 7=-, 8=-, 9=r1, 10=r2, 11=r1, 12=r1,]...Pos 1=l1 2=l2: Found 1=l1 2=l2. Rule: nop...Pos 2=l2 3=l1: Found 2=l2 3=l1. Rule: nop...Pos 3=l1 4=-: Found 3=l1 4=-. Rule: nop...Pos 4=- 5=-: Found 4=- 5=-. Rule: nop...Pos 5=- 6=l2: Found 5=- 6=l2. Rule: nop...Pos 6=l2 7=-: Found 6=l2 7=-. Rule: nop...Pos 7=- 8=-: Found 7=- 8=-. Rule: nop...Pos 8=- 9=r1: Found 8=- 9=r1. Rule: nop...Pos 9=r1 10=r2: Found 9=r1 10=r2. Rule: nop...Pos 10=r2 11=r1: Found 10=r2 11=r1. Rule: nop...Pos 11=r1 12=r1: Found 11=r1 12=r1. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l1, 2=l2, 3=l1, 4=-, 5=-, 6=l2, 7=-, 8=-, 9=r1, 10=r2, 11=r1, 12=r1,]...Translated solution: ['#A', '#B', '#A', '-', '-', '#B', '-', '-', 'A#', 'B#', 'A#', 'A#']...<solution>#A #B #A - - #B - - A# B# A# A#</solution>
Answer: <solution>#A #B #A #B A# B# A# A#</solution>

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Question: <problem>A# #B #A A# #A A# #A A# A# B# B# #B</problem> Reasoning: Starting string: A# #B #A A# #A A# #A A# A# B# B# #B...Translated string: ['r1', 'l2', 'l1', 'r1', 'l1', 'r1', 'l1', 'r1', 'r1', 'r2', 'r2', 'l2']...Starting round, tokens: [1=r1, 2=l2, 3=l1, 4=r1, 5=l1, 6=r1, 7=l1, 8=r1, 9=r1, 10=r2, 11=r2, 12=l2,]...Pos 1=r1 2=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=r1, 3=l1, 4=r1, 5=l1, 6=r1, 7=l1, 8=r1, 9=r1, 10=r2, 11=r2, 12=l2,]...Pos 2=r1 3=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=-, 3=-, 4=r1, 5=l1, 6=r1, 7=l1, 8=r1, 9=r1, 10=r2, 11=r2, 12=l2,]...Pos 4=r1 5=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=-, 3=-, 4=-, 5=-, 6=r1, 7=l1, 8=r1, 9=r1, 10=r2, 11=r2, 12=l2,]...Pos 6=r1 7=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=-, 3=-, 4=-, 5=-, 6=-, 7=-, 8=r1, 9=r1, 10=r2, 11=r2, 12=l2,]...Pos 8=r1 9=r1: Found 8=r1 9=r1. Rule: nop...Pos 9=r1 10=r2: Found 9=r1 10=r2. Rule: nop...Pos 10=r2 11=r2: Found 10=r2 11=r2. Rule: nop...Pos 11=r2 12=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=-, 3=-, 4=-, 5=-, 6=-, 7=-, 8=r1, 9=r1, 10=r2, 11=-, 12=-,]...End out round. Tokens: [1=l2, 2=-, 3=-, 4=-, 5=-, 6=-, 7=-, 8=r1, 9=r1, 10=r2, 11=-, 12=-,]...Deleting all '-' tokens, [2, 3, 4, 5, 6, 7, 11, 12], number of tokens in next round: 4...Starting round, tokens: [1=l2, 2=-, 3=-, 4=-, 5=-, 6=-, 7=-, 8=r1, 9=r1, 10=r2, 11=-, 12=-,]...Pos 1=l2 2=-: Found 1=l2 2=-. Rule: nop...Pos 2=- 3=-: Found 2=- 3=-. Rule: nop...Pos 3=- 4=-: Found 3=- 4=-. Rule: nop...Pos 4=- 5=-: Found 4=- 5=-. Rule: nop...Pos 5=- 6=-: Found 5=- 6=-. Rule: nop...Pos 6=- 7=-: Found 6=- 7=-. Rule: nop...Pos 7=- 8=r1: Found 7=- 8=r1. Rule: nop...Pos 8=r1 9=r1: Found 8=r1 9=r1. Rule: nop...Pos 9=r1 10=r2: Found 9=r1 10=r2. Rule: nop...Pos 10=r2 11=-: Found 10=r2 11=-. Rule: nop...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l2, 2=-, 3=-, 4=-, 5=-, 6=-, 7=-, 8=r1, 9=r1, 10=r2, 11=-, 12=-,]...Translated solution: ['#B', '-', '-', '-', '-', '-', '-', 'A#', 'A#', 'B#', '-', '-']...<solution>#B - - - - - - A# A# B# - -</solution>
Answer: <solution>#B A# A# B#</solution>

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Question: <problem>B# #B #A #A #A B# #A #B B# #A #B A#</problem> Reasoning: Starting string: B# #B #A #A #A B# #A #B B# #A #B A#...Translated string: ['r2', 'l2', 'l1', 'l1', 'l1', 'r2', 'l1', 'l2', 'r2', 'l1', 'l2', 'r1']...Starting round, tokens: [1=r2, 2=l2, 3=l1, 4=l1, 5=l1, 6=r2, 7=l1, 8=l2, 9=r2, 10=l1, 11=l2, 12=r1,]...Pos 1=r2 2=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=r2, 7=l1, 8=l2, 9=r2, 10=l1, 11=l2, 12=r1,]...Pos 3=l1 4=l1: Found 3=l1 4=l1. Rule: nop...Pos 4=l1 5=l1: Found 4=l1 5=l1. Rule: nop...Pos 5=l1 6=r2: Found 5=l1 6=r2. Rule: nop...Pos 6=r2 7=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=r2, 8=l2, 9=r2, 10=l1, 11=l2, 12=r1,]...Pos 7=r2 8=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=r2, 10=l1, 11=l2, 12=r1,]...Pos 9=r2 10=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=l1, 10=r2, 11=l2, 12=r1,]...Pos 10=r2 11=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=l1, 10=-, 11=-, 12=r1,]...End out round. Tokens: [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=l1, 10=-, 11=-, 12=r1,]...Deleting all '-' tokens, [1, 2, 7, 8, 10, 11], number of tokens in next round: 6...Starting round, tokens: [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=l1, 10=-, 11=-, 12=r1,]...Pos 1=- 2=-: Found 1=- 2=-. Rule: nop...Pos 2=- 3=l1: Found 2=- 3=l1. Rule: nop...Pos 3=l1 4=l1: Found 3=l1 4=l1. Rule: nop...Pos 4=l1 5=l1: Found 4=l1 5=l1. Rule: nop...Pos 5=l1 6=l1: Found 5=l1 6=l1. Rule: nop...Pos 6=l1 7=-: Found 6=l1 7=-. Rule: nop...Pos 7=- 8=-: Found 7=- 8=-. Rule: nop...Pos 8=- 9=l1: Found 8=- 9=l1. Rule: nop...Pos 9=l1 10=-: Found 9=l1 10=-. Rule: nop...Pos 10=- 11=-: Found 10=- 11=-. Rule: nop...Pos 11=- 12=r1: Found 11=- 12=r1. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=-, 2=-, 3=l1, 4=l1, 5=l1, 6=l1, 7=-, 8=-, 9=l1, 10=-, 11=-, 12=r1,]...Translated solution: ['-', '-', '#A', '#A', '#A', '#A', '-', '-', '#A', '-', '-', 'A#']...<solution>- - #A #A #A #A - - #A - - A#</solution>
Answer: <solution>#A #A #A #A #A A#</solution>

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Question: <problem>#B #B A# A# #B #B B# A# B# #A B# #B</problem> Reasoning: Starting string: #B #B A# A# #B #B B# A# B# #A B# #B...Translated string: ['l2', 'l2', 'r1', 'r1', 'l2', 'l2', 'r2', 'r1', 'r2', 'l1', 'r2', 'l2']...Starting round, tokens: [1=l2, 2=l2, 3=r1, 4=r1, 5=l2, 6=l2, 7=r2, 8=r1, 9=r2, 10=l1, 11=r2, 12=l2,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=r1: Found 2=l2 3=r1. Rule: nop...Pos 3=r1 4=r1: Found 3=r1 4=r1. Rule: nop...Pos 4=r1 5=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=r1, 4=l2, 5=r1, 6=l2, 7=r2, 8=r1, 9=r2, 10=l1, 11=r2, 12=l2,]...Pos 5=r1 6=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=r1, 4=l2, 5=l2, 6=r1, 7=r2, 8=r1, 9=r2, 10=l1, 11=r2, 12=l2,]...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...Pos 8=r1 9=r2: Found 8=r1 9=r2. Rule: nop...Pos 9=r2 10=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=l2, 2=l2, 3=r1, 4=l2, 5=l2, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=r2, 12=l2,]...Pos 10=r2 11=r2: Found 10=r2 11=r2. Rule: nop...Pos 11=r2 12=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=l2, 3=r1, 4=l2, 5=l2, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=-, 12=-,]...End out round. Tokens: [1=l2, 2=l2, 3=r1, 4=l2, 5=l2, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=-, 12=-,]...Deleting all '-' tokens, [11, 12], number of tokens in next round: 10...Starting round, tokens: [1=l2, 2=l2, 3=r1, 4=l2, 5=l2, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=-, 12=-,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=r1: Found 2=l2 3=r1. Rule: nop...Pos 3=r1 4=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=-, 12=-,]...Pos 4=r1 5=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=r1, 7=r2, 8=r1, 9=l1, 10=r2, 11=-, 12=-,]...Pos 5=r1 6=r1: Found 5=r1 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...Pos 8=r1 9=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=r1, 7=r2, 8=-, 9=-, 10=r2, 11=-, 12=-,]...Pos 10=r2 11=-: Found 10=r2 11=-. Rule: nop...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...End out round. Tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=r1, 7=r2, 8=-, 9=-, 10=r2, 11=-, 12=-,]...Deleting all '-' tokens, [8, 9, 11, 12], number of tokens in next round: 8...Starting round, tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=r1, 7=r2, 8=-, 9=-, 10=r2, 11=-, 12=-,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=l2: Found 2=l2 3=l2. Rule: nop...Pos 3=l2 4=l2: Found 3=l2 4=l2. Rule: nop...Pos 4=l2 5=r1: Found 4=l2 5=r1. Rule: nop...Pos 5=r1 6=r1: Found 5=r1 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=-: Found 7=r2 8=-. Rule: nop...Pos 8=- 9=-: Found 8=- 9=-. Rule: nop...Pos 9=- 10=r2: Found 9=- 10=r2. Rule: nop...Pos 10=r2 11=-: Found 10=r2 11=-. Rule: nop...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=r1, 7=r2, 8=-, 9=-, 10=r2, 11=-, 12=-,]...Translated solution: ['#B', '#B', '#B', '#B', 'A#', 'A#', 'B#', '-', '-', 'B#', '-', '-']...<solution>#B #B #B #B A# A# B# - - B# - -</solution>
Answer: <solution>#B #B #B #B A# A# B# B#</solution>

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Question: <problem>#A #A #B #A #B #B A# #A #B #A B# #B</problem> Reasoning: Starting string: #A #A #B #A #B #B A# #A #B #A B# #B...Translated string: ['l1', 'l1', 'l2', 'l1', 'l2', 'l2', 'r1', 'l1', 'l2', 'l1', 'r2', 'l2']...Starting round, tokens: [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=r1, 8=l1, 9=l2, 10=l1, 11=r2, 12=l2,]...Pos 1=l1 2=l1: Found 1=l1 2=l1. Rule: nop...Pos 2=l1 3=l2: Found 2=l1 3=l2. Rule: nop...Pos 3=l2 4=l1: Found 3=l2 4=l1. Rule: nop...Pos 4=l1 5=l2: Found 4=l1 5=l2. Rule: nop...Pos 5=l2 6=l2: Found 5=l2 6=l2. Rule: nop...Pos 6=l2 7=r1: Found 6=l2 7=r1. Rule: nop...Pos 7=r1 8=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=-, 8=-, 9=l2, 10=l1, 11=r2, 12=l2,]...Pos 9=l2 10=l1: Found 9=l2 10=l1. Rule: nop...Pos 10=l1 11=r2: Found 10=l1 11=r2. Rule: nop...Pos 11=r2 12=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=-, 8=-, 9=l2, 10=l1, 11=-, 12=-,]...End out round. Tokens: [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=-, 8=-, 9=l2, 10=l1, 11=-, 12=-,]...Deleting all '-' tokens, [7, 8, 11, 12], number of tokens in next round: 8...Starting round, tokens: [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=-, 8=-, 9=l2, 10=l1, 11=-, 12=-,]...Pos 1=l1 2=l1: Found 1=l1 2=l1. Rule: nop...Pos 2=l1 3=l2: Found 2=l1 3=l2. Rule: nop...Pos 3=l2 4=l1: Found 3=l2 4=l1. Rule: nop...Pos 4=l1 5=l2: Found 4=l1 5=l2. Rule: nop...Pos 5=l2 6=l2: Found 5=l2 6=l2. Rule: nop...Pos 6=l2 7=-: Found 6=l2 7=-. Rule: nop...Pos 7=- 8=-: Found 7=- 8=-. Rule: nop...Pos 8=- 9=l2: Found 8=- 9=l2. Rule: nop...Pos 9=l2 10=l1: Found 9=l2 10=l1. Rule: nop...Pos 10=l1 11=-: Found 10=l1 11=-. Rule: nop...Pos 11=- 12=-: Found 11=- 12=-. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l1, 2=l1, 3=l2, 4=l1, 5=l2, 6=l2, 7=-, 8=-, 9=l2, 10=l1, 11=-, 12=-,]...Translated solution: ['#A', '#A', '#B', '#A', '#B', '#B', '-', '-', '#B', '#A', '-', '-']...<solution>#A #A #B #A #B #B - - #B #A - -</solution>
Answer: <solution>#A #A #B #A #B #B #B #A</solution>

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Question: <problem>A# A# A# #A #A #B #B B# B# #B #B #A</problem> Reasoning: Starting string: A# A# A# #A #A #B #B B# B# #B #B #A...Translated string: ['r1', 'r1', 'r1', 'l1', 'l1', 'l2', 'l2', 'r2', 'r2', 'l2', 'l2', 'l1']...Starting round, tokens: [1=r1, 2=r1, 3=r1, 4=l1, 5=l1, 6=l2, 7=l2, 8=r2, 9=r2, 10=l2, 11=l2, 12=l1,]...Pos 1=r1 2=r1: Found 1=r1 2=r1. Rule: nop...Pos 2=r1 3=r1: Found 2=r1 3=r1. Rule: nop...Pos 3=r1 4=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=r1, 2=r1, 3=-, 4=-, 5=l1, 6=l2, 7=l2, 8=r2, 9=r2, 10=l2, 11=l2, 12=l1,]...Pos 5=l1 6=l2: Found 5=l1 6=l2. Rule: nop...Pos 6=l2 7=l2: Found 6=l2 7=l2. Rule: nop...Pos 7=l2 8=r2: Found 7=l2 8=r2. Rule: nop...Pos 8=r2 9=r2: Found 8=r2 9=r2. Rule: nop...Pos 9=r2 10=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=r1, 2=r1, 3=-, 4=-, 5=l1, 6=l2, 7=l2, 8=r2, 9=-, 10=-, 11=l2, 12=l1,]...Pos 11=l2 12=l1: Found 11=l2 12=l1. Rule: nop...End out round. Tokens: [1=r1, 2=r1, 3=-, 4=-, 5=l1, 6=l2, 7=l2, 8=r2, 9=-, 10=-, 11=l2, 12=l1,]...Deleting all '-' tokens, [3, 4, 9, 10], number of tokens in next round: 8...Starting round, tokens: [1=r1, 2=r1, 3=-, 4=-, 5=l1, 6=l2, 7=l2, 8=r2, 9=-, 10=-, 11=l2, 12=l1,]...Pos 1=r1 2=r1: Found 1=r1 2=r1. Rule: nop...Pos 2=r1 3=-: Found 2=r1 3=-. Rule: nop...Pos 3=- 4=-: Found 3=- 4=-. Rule: nop...Pos 4=- 5=l1: Found 4=- 5=l1. Rule: nop...Pos 5=l1 6=l2: Found 5=l1 6=l2. Rule: nop...Pos 6=l2 7=l2: Found 6=l2 7=l2. Rule: nop...Pos 7=l2 8=r2: Found 7=l2 8=r2. Rule: nop...Pos 8=r2 9=-: Found 8=r2 9=-. Rule: nop...Pos 9=- 10=-: Found 9=- 10=-. Rule: nop...Pos 10=- 11=l2: Found 10=- 11=l2. Rule: nop...Pos 11=l2 12=l1: Found 11=l2 12=l1. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=r1, 2=r1, 3=-, 4=-, 5=l1, 6=l2, 7=l2, 8=r2, 9=-, 10=-, 11=l2, 12=l1,]...Translated solution: ['A#', 'A#', '-', '-', '#A', '#B', '#B', 'B#', '-', '-', '#B', '#A']...<solution>A# A# - - #A #B #B B# - - #B #A</solution>
Answer: <solution>#B #B</solution>

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Question: <problem>#A #B B# A# A# A# B# A# A# B# #A A#</problem> Reasoning: Starting string: #A #B B# A# A# A# B# A# A# B# #A A#...Translated string: ['l1', 'l2', 'r2', 'r1', 'r1', 'r1', 'r2', 'r1', 'r1', 'r2', 'l1', 'r1']...Starting round, tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=r1, 10=r2, 11=l1, 12=r1,]...Pos 1=l1 2=l2: Found 1=l1 2=l2. Rule: nop...Pos 2=l2 3=r2: Found 2=l2 3=r2. Rule: nop...Pos 3=r2 4=r1: Found 3=r2 4=r1. Rule: nop...Pos 4=r1 5=r1: Found 4=r1 5=r1. Rule: nop...Pos 5=r1 6=r1: Found 5=r1 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...Pos 8=r1 9=r1: Found 8=r1 9=r1. Rule: nop...Pos 9=r1 10=r2: Found 9=r1 10=r2. Rule: nop...Pos 10=r2 11=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=r1, 10=l1, 11=r2, 12=r1,]...Pos 11=r2 12=r1: Found 11=r2 12=r1. Rule: nop...End out round. Tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=r1, 10=l1, 11=r2, 12=r1,]...Starting round, tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=r1, 10=l1, 11=r2, 12=r1,]...Pos 1=l1 2=l2: Found 1=l1 2=l2. Rule: nop...Pos 2=l2 3=r2: Found 2=l2 3=r2. Rule: nop...Pos 3=r2 4=r1: Found 3=r2 4=r1. Rule: nop...Pos 4=r1 5=r1: Found 4=r1 5=r1. Rule: nop...Pos 5=r1 6=r1: Found 5=r1 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...Pos 8=r1 9=r1: Found 8=r1 9=r1. Rule: nop...Pos 9=r1 10=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=-, 10=-, 11=r2, 12=r1,]...Pos 11=r2 12=r1: Found 11=r2 12=r1. Rule: nop...End out round. Tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=-, 10=-, 11=r2, 12=r1,]...Deleting all '-' tokens, [9, 10], number of tokens in next round: 10...Starting round, tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=-, 10=-, 11=r2, 12=r1,]...Pos 1=l1 2=l2: Found 1=l1 2=l2. Rule: nop...Pos 2=l2 3=r2: Found 2=l2 3=r2. Rule: nop...Pos 3=r2 4=r1: Found 3=r2 4=r1. Rule: nop...Pos 4=r1 5=r1: Found 4=r1 5=r1. Rule: nop...Pos 5=r1 6=r1: Found 5=r1 6=r1. Rule: nop...Pos 6=r1 7=r2: Found 6=r1 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...Pos 8=r1 9=-: Found 8=r1 9=-. Rule: nop...Pos 9=- 10=-: Found 9=- 10=-. Rule: nop...Pos 10=- 11=r2: Found 10=- 11=r2. Rule: nop...Pos 11=r2 12=r1: Found 11=r2 12=r1. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l1, 2=l2, 3=r2, 4=r1, 5=r1, 6=r1, 7=r2, 8=r1, 9=-, 10=-, 11=r2, 12=r1,]...Translated solution: ['#A', '#B', 'B#', 'A#', 'A#', 'A#', 'B#', 'A#', '-', '-', 'B#', 'A#']...<solution>#A #B B# A# A# A# B# A# - - B# A#</solution>
Answer: <solution>#A #B B# A# A# A# B# A# B# A#</solution>

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Question: <problem>B# #A #A #B #A #B B# #B #B A# A# B#</problem> Reasoning: Starting string: B# #A #A #B #A #B B# #B #B A# A# B#...Translated string: ['r2', 'l1', 'l1', 'l2', 'l1', 'l2', 'r2', 'l2', 'l2', 'r1', 'r1', 'r2']...Starting round, tokens: [1=r2, 2=l1, 3=l1, 4=l2, 5=l1, 6=l2, 7=r2, 8=l2, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 1=r2 2=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=l1, 2=r2, 3=l1, 4=l2, 5=l1, 6=l2, 7=r2, 8=l2, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 2=r2 3=l1: Found: r2 l1. Rule: 4.) 'r2 l1 -> l1 r2'...r2 l1 -> l1 r2 => [1=l1, 2=l1, 3=r2, 4=l2, 5=l1, 6=l2, 7=r2, 8=l2, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 3=r2 4=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l1, 2=l1, 3=-, 4=-, 5=l1, 6=l2, 7=r2, 8=l2, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 5=l1 6=l2: Found 5=l1 6=l2. Rule: nop...Pos 6=l2 7=r2: Found 6=l2 7=r2. Rule: nop...Pos 7=r2 8=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l1, 2=l1, 3=-, 4=-, 5=l1, 6=l2, 7=-, 8=-, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 9=l2 10=r1: Found 9=l2 10=r1. Rule: nop...Pos 10=r1 11=r1: Found 10=r1 11=r1. Rule: nop...Pos 11=r1 12=r2: Found 11=r1 12=r2. Rule: nop...End out round. Tokens: [1=l1, 2=l1, 3=-, 4=-, 5=l1, 6=l2, 7=-, 8=-, 9=l2, 10=r1, 11=r1, 12=r2,]...Deleting all '-' tokens, [3, 4, 7, 8], number of tokens in next round: 8...Starting round, tokens: [1=l1, 2=l1, 3=-, 4=-, 5=l1, 6=l2, 7=-, 8=-, 9=l2, 10=r1, 11=r1, 12=r2,]...Pos 1=l1 2=l1: Found 1=l1 2=l1. Rule: nop...Pos 2=l1 3=-: Found 2=l1 3=-. Rule: nop...Pos 3=- 4=-: Found 3=- 4=-. Rule: nop...Pos 4=- 5=l1: Found 4=- 5=l1. Rule: nop...Pos 5=l1 6=l2: Found 5=l1 6=l2. Rule: nop...Pos 6=l2 7=-: Found 6=l2 7=-. Rule: nop...Pos 7=- 8=-: Found 7=- 8=-. Rule: nop...Pos 8=- 9=l2: Found 8=- 9=l2. Rule: nop...Pos 9=l2 10=r1: Found 9=l2 10=r1. Rule: nop...Pos 10=r1 11=r1: Found 10=r1 11=r1. Rule: nop...Pos 11=r1 12=r2: Found 11=r1 12=r2. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l1, 2=l1, 3=-, 4=-, 5=l1, 6=l2, 7=-, 8=-, 9=l2, 10=r1, 11=r1, 12=r2,]...Translated solution: ['#A', '#A', '-', '-', '#A', '#B', '-', '-', '#B', 'A#', 'A#', 'B#']...<solution>#A #A - - #A #B - - #B A# A# B#</solution>
Answer: <solution>#A #A #A #B #B A# A# B#</solution>

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Question: <problem>#B #B A# #B A# #B #B #B B# B# #B #B</problem> Reasoning: Starting string: #B #B A# #B A# #B #B #B B# B# #B #B...Translated string: ['l2', 'l2', 'r1', 'l2', 'r1', 'l2', 'l2', 'l2', 'r2', 'r2', 'l2', 'l2']...Starting round, tokens: [1=l2, 2=l2, 3=r1, 4=l2, 5=r1, 6=l2, 7=l2, 8=l2, 9=r2, 10=r2, 11=l2, 12=l2,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=r1: Found 2=l2 3=r1. Rule: nop...Pos 3=r1 4=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=r1, 5=r1, 6=l2, 7=l2, 8=l2, 9=r2, 10=r2, 11=l2, 12=l2,]...Pos 4=r1 5=r1: Found 4=r1 5=r1. Rule: nop...Pos 5=r1 6=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=r1, 7=l2, 8=l2, 9=r2, 10=r2, 11=l2, 12=l2,]...Pos 6=r1 7=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=l2, 7=r1, 8=l2, 9=r2, 10=r2, 11=l2, 12=l2,]...Pos 7=r1 8=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=l2, 7=l2, 8=r1, 9=r2, 10=r2, 11=l2, 12=l2,]...Pos 8=r1 9=r2: Found 8=r1 9=r2. Rule: nop...Pos 9=r2 10=r2: Found 9=r2 10=r2. Rule: nop...Pos 10=r2 11=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=l2, 7=l2, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...End out round. Tokens: [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=l2, 7=l2, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Deleting all '-' tokens, [10, 11], number of tokens in next round: 10...Starting round, tokens: [1=l2, 2=l2, 3=l2, 4=r1, 5=l2, 6=l2, 7=l2, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=l2: Found 2=l2 3=l2. Rule: nop...Pos 3=l2 4=r1: Found 3=l2 4=r1. Rule: nop...Pos 4=r1 5=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=l2, 5=r1, 6=l2, 7=l2, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Pos 5=r1 6=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=l2, 5=l2, 6=r1, 7=l2, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Pos 6=r1 7=l2: Found: r1 l2. Rule: 3.) 'r1 l2 -> l2 r1'...r1 l2 -> l2 r1 => [1=l2, 2=l2, 3=l2, 4=l2, 5=l2, 6=l2, 7=r1, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Pos 7=r1 8=r1: Found 7=r1 8=r1. Rule: nop...Pos 8=r1 9=r2: Found 8=r1 9=r2. Rule: nop...Pos 9=r2 10=-: Found 9=r2 10=-. Rule: nop...Pos 10=- 11=-: Found 10=- 11=-. Rule: nop...Pos 11=- 12=l2: Found 11=- 12=l2. Rule: nop...End out round. Tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=l2, 6=l2, 7=r1, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Deleting all '-' tokens, [10, 11], number of tokens in next round: 10...Starting round, tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=l2, 6=l2, 7=r1, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=l2: Found 2=l2 3=l2. Rule: nop...Pos 3=l2 4=l2: Found 3=l2 4=l2. Rule: nop...Pos 4=l2 5=l2: Found 4=l2 5=l2. Rule: nop...Pos 5=l2 6=l2: Found 5=l2 6=l2. Rule: nop...Pos 6=l2 7=r1: Found 6=l2 7=r1. Rule: nop...Pos 7=r1 8=r1: Found 7=r1 8=r1. Rule: nop...Pos 8=r1 9=r2: Found 8=r1 9=r2. Rule: nop...Pos 9=r2 10=-: Found 9=r2 10=-. Rule: nop...Pos 10=- 11=-: Found 10=- 11=-. Rule: nop...Pos 11=- 12=l2: Found 11=- 12=l2. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l2, 2=l2, 3=l2, 4=l2, 5=l2, 6=l2, 7=r1, 8=r1, 9=r2, 10=-, 11=-, 12=l2,]...Translated solution: ['#B', '#B', '#B', '#B', '#B', '#B', 'A#', 'A#', 'B#', '-', '-', '#B']...<solution>#B #B #B #B #B #B A# A# B# - - #B</solution>
Answer: <solution>#B #B #B #B #B #B A# A#</solution>

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Question: <problem>#B #B A# B# B# B# B# #B B# A# A# #A</problem>
Reasoning: Starting string: #B #B A# B# B# B# B# #B B# A# A# #A...Translated string: ['l2', 'l2', 'r1', 'r2', 'r2', 'r2', 'r2', 'l2', 'r2', 'r1', 'r1', 'l1']...Starting round, tokens: [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=r2, 8=l2, 9=r2, 10=r1, 11=r1, 12=l1,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=r1: Found 2=l2 3=r1. Rule: nop...Pos 3=r1 4=r2: Found 3=r1 4=r2. Rule: nop...Pos 4=r2 5=r2: Found 4=r2 5=r2. Rule: nop...Pos 5=r2 6=r2: Found 5=r2 6=r2. Rule: nop...Pos 6=r2 7=r2: Found 6=r2 7=r2. Rule: nop...Pos 7=r2 8=l2: Found: r2 l2. Rule: 2.) 'r2 l2 -> flagged deleted'...r2 l2 -> flagged deleted => [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=-, 8=-, 9=r2, 10=r1, 11=r1, 12=l1,]...Pos 9=r2 10=r1: Found 9=r2 10=r1. Rule: nop...Pos 10=r1 11=r1: Found 10=r1 11=r1. Rule: nop...Pos 11=r1 12=l1: Found: r1 l1. Rule: 1.) 'r1 l1 -> flagged deleted'...r1 l1 -> flagged deleted => [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=-, 8=-, 9=r2, 10=r1, 11=-, 12=-,]...End out round. Tokens: [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=-, 8=-, 9=r2, 10=r1, 11=-, 12=-,]...Deleting all '-' tokens, [7, 8, 11, 12], number of tokens in next round: 8...Starting round, tokens: [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=r2, 8=r1,]...Pos 1=l2 2=l2: Found 1=l2 2=l2. Rule: nop...Pos 2=l2 3=r1: Found 2=l2 3=r1. Rule: nop...Pos 3=r1 4=r2: Found 3=r1 4=r2. Rule: nop...Pos 4=r2 5=r2: Found 4=r2 5=r2. Rule: nop...Pos 5=r2 6=r2: Found 5=r2 6=r2. Rule: nop...Pos 6=r2 7=r2: Found 6=r2 7=r2. Rule: nop...Pos 7=r2 8=r1: Found 7=r2 8=r1. Rule: nop...All l1 and l2 are on the left side, all r1 and r2 are on the right side....No more replacements possible, final tokens: [1=l2, 2=l2, 3=r1, 4=r2, 5=r2, 6=r2, 7=r2, 8=r1,]...Translated solution: ['#B', '#B', 'A#', 'B#', 'B#', 'B#', 'B#', 'A#']...<solution>#B #B A# B# B# B# B# A#</solution>
Answer: <solution>#B #B A# B# B# B# B# A#</solution>

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Correct Prediction: True