gistfile1.txt

Assistant is a Careful and Predictable Step by Step Instruction Template Format Following MODE Today.

You will be solving a string replacement logical puzzle where you apply transformations to a List of Tokens to get New List of Tokens until the Rules no longer creates a New Unique List.

Tokens
- "A#"
- "#A"
- "#B"
- "B#"

Tokens with Numbers Example
- "A#(10)"
- "#A(3)"
- "#B(2)"
- "B#(12)"

NOTE: ONLY Respond with VALID Tokens

# Rules:
RULE:A# #A →
RULE:A# #B → #B A#
RULE:B# #A → #A B#
RULE:B# #B →
RULE:#A #A → #A
RULE:#A A# → #A
RULE:#A B# → #A
RULE:#A #B → #A
RULE:A# A# → A#
RULE:A# B# → A#
RULE:B# A# → B#
RULE:B# B# → B#
RULE:#B #A → #B
RULE:#B A# → #B
RULE:#B B# → #B
RULE:#B #B → #B
RULE:#B → #B
RULE:#A → #A
RULE:A# → A#
RULE:A# → A#

NOTE:
RULE:B# #B →
RULE:A# #A →
Is literally NOTHING not even a Space

OLD TOKENS -> NEW TOKENS

Guide For EVERY STEP
# PASS Guide
1. This is where you take Pairs of Tokens and Copy the Rule Basically
2. For rules:
RULE:A# #A → NOTHING
NEXT INDEX:+2
RULE:A# #B → #B A#
NEXT INDEX:+2
RULE:B# #A → #A B#
NEXT INDEX:+2
RULE:B# #B → NOTHING
NEXT INDEX:+2
RULE:EVERY OTHER RULE -> FIRST TOKEN
NEXT INDEX:+1


# GATHER NEW TOKENS Guide
1. This is Where you Get the New Tokens. Basically Everything After →.
2. Be SURE to Ignore the NOTHING Meaning Literally NOTHING
3. Remember to Keep TWO Separate Counts for the the OLD TOKEN and the NEW TOKENs starting from 1 Known as "OLD COUNT" and "NEW COUNT"
4. AGAIN ALWAYS Start the Count from 1 for OLD TOKENs and NEW TOKENs



# EXACT SAME STRING PREV Guide
1. This is Where Check if the String is the Same so you can just go to "# Tokens Without Numbers" then Submit your Solution inside of <solution></solution>
2. Compare the Two Previous # GATHER NEW TOKENS to Make COMPLETELY SURE They are EXACTLY the SAME



<EXAMPLE 1>
<problem>#A B# #B #B #B #A A# B# #B A# #A #B</problem>

# List Out
1. #A
2. B#
3. #B
4. #B
5. #B
6. #A
7. A#
8. B#
9. #B
10. A#
11. #A
12. #B



# NEW TOKENS:
#A(1) B#(2) #B(3) #B(4) #B(5) #A(6) A#(7) B#(8) #B(9) A#(10) #A(11) #B(12) 

# EXACT SAME STRING PREV:NO



# PASS 1:
NEXT INDEX:1:WITHIN
#A(1) B#(2):RULE:#A B# → #A(1)
NEXT INDEX:2:WITHIN
B#(2) #B(3):RULE:B# #B →
NEXT INDEX:4:WITHIN
#B(4) #B(5):RULE:#B #B → #B(2)
NEXT INDEX:5:WITHIN
#B(5) #A(6):RULE:#B #A → #B(3)
NEXT INDEX:6:WITHIN
#A(6) A#(7):RULE:#A A# → #A(4)
NEXT INDEX:7:WITHIN
A#(7) B#(8):RULE:A# B# → A#(5)
NEXT INDEX:8:WITHIN
B#(8) #B(9):RULE:B# #B →
NEXT INDEX:10:WITHIN
A#(10) #A(11):RULE:A# #A →
NEXT INDEX:12:WITHIN
#B(12):RULE:#B → #B(6)
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) #B(3) #A(4) A#(5) #B(6) 

# EXACT SAME STRING PREV:NO

# PASS 2:
NEXT INDEX:1:WITHIN
#A(1) #B(2):RULE:#A #B → #A(1)
NEXT INDEX:2:WITHIN
#B(2) #B(3):RULE:#B #B → #B(2)
NEXT INDEX:3:WITHIN
#B(3) #A(4):RULE:#B #A → #B(3)
NEXT INDEX:4:WITHIN
#A(4) A#(5):RULE:#A A# → #A(4)
NEXT INDEX:5:WITHIN
A#(5) #B(6):RULE:A# #B → #B(5) A#(6)
NEXT INDEX:7:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) #B(3) #A(4) #B(5) A#(6) 

# EXACT SAME STRING PREV:NO

# PASS 3:
NEXT INDEX:1:WITHIN
#A(1) #B(2):RULE:#A #B → #A(1)
NEXT INDEX:2:WITHIN
#B(2) #B(3):RULE:#B #B → #B(2)
NEXT INDEX:3:WITHIN
#B(3) #A(4):RULE:#B #A → #B(3)
NEXT INDEX:4:WITHIN
#A(4) #B(5):RULE:#A #B → #A(4)
NEXT INDEX:5:WITHIN
#B(5) A#(6):RULE:#B A# → #B(5)
NEXT INDEX:6:WITHIN
A#(6):RULE:A# → A#(6)
NEXT INDEX:7:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) #B(3) #A(4) #B(5) A#(6) 

# EXACT SAME STRING PREV:YES

# Tokens Without Numbers:
#A #B #B #A #B A#

# Solution:
<solution>#A #B #B #A #B A#</solution>
</EXAMPLE 1>


<EXAMPLE 2>
<problem>#B A# B# B# #A A# A# #B B# #A #B A#</problem>

# List Out
1. #B
2. A#
3. B#
4. B#
5. #A
6. A#
7. A#
8. #B
9. B#
10. #A
11. #B
12. A#



# NEW TOKENS:
#B(1) A#(2) B#(3) B#(4) #A(5) A#(6) A#(7) #B(8) B#(9) #A(10) #B(11) A#(12) 

# EXACT SAME STRING PREV:NO



# PASS 1:
NEXT INDEX:1:WITHIN
#B(1) A#(2):RULE:#B A# → #B(1)
NEXT INDEX:2:WITHIN
A#(2) B#(3):RULE:A# B# → A#(2)
NEXT INDEX:3:WITHIN
B#(3) B#(4):RULE:B# B# → B#(3)
NEXT INDEX:4:WITHIN
B#(4) #A(5):RULE:B# #A → #A(4) B#(5)
NEXT INDEX:6:WITHIN
A#(6) A#(7):RULE:A# A# → A#(6)
NEXT INDEX:7:WITHIN
A#(7) #B(8):RULE:A# #B → #B(7) A#(8)
NEXT INDEX:9:WITHIN
B#(9) #A(10):RULE:B# #A → #A(9) B#(10)
NEXT INDEX:11:WITHIN
#B(11) A#(12):RULE:#B A# → #B(11)
NEXT INDEX:12:WITHIN
A#(12):RULE:A# → A#(12)
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
#B(1) A#(2) B#(3) #A(4) B#(5) A#(6) #B(7) A#(8) #A(9) B#(10) #B(11) A#(12) 

# EXACT SAME STRING PREV:NO

# PASS 2:
NEXT INDEX:1:WITHIN
#B(1) A#(2):RULE:#B A# → #B(1)
NEXT INDEX:2:WITHIN
A#(2) B#(3):RULE:A# B# → A#(2)
NEXT INDEX:3:WITHIN
B#(3) #A(4):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:5:WITHIN
B#(5) A#(6):RULE:B# A# → B#(5)
NEXT INDEX:6:WITHIN
A#(6) #B(7):RULE:A# #B → #B(6) A#(7)
NEXT INDEX:8:WITHIN
A#(8) #A(9):RULE:A# #A →
NEXT INDEX:10:WITHIN
B#(10) #B(11):RULE:B# #B →
NEXT INDEX:12:WITHIN
A#(12):RULE:A# → A#(8)
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
#B(1) A#(2) #A(3) B#(4) B#(5) #B(6) A#(7) A#(8) 

# EXACT SAME STRING PREV:NO

# PASS 3:
NEXT INDEX:1:WITHIN
#B(1) A#(2):RULE:#B A# → #B(1)
NEXT INDEX:2:WITHIN
A#(2) #A(3):RULE:A# #A →
NEXT INDEX:4:WITHIN
B#(4) B#(5):RULE:B# B# → B#(2)
NEXT INDEX:5:WITHIN
B#(5) #B(6):RULE:B# #B →
NEXT INDEX:7:WITHIN
A#(7) A#(8):RULE:A# A# → A#(3)
NEXT INDEX:8:WITHIN
A#(8):RULE:A# → A#(4)
NEXT INDEX:9:OVERFLOW



# GATHER NEW TOKENS:
#B(1) B#(2) A#(3) A#(4) 

# EXACT SAME STRING PREV:NO

# PASS 4:
NEXT INDEX:1:WITHIN
#B(1) B#(2):RULE:#B B# → #B(1)
NEXT INDEX:2:WITHIN
B#(2) A#(3):RULE:B# A# → B#(2)
NEXT INDEX:3:WITHIN
A#(3) A#(4):RULE:A# A# → A#(3)
NEXT INDEX:4:WITHIN
A#(4):RULE:A# → A#(4)
NEXT INDEX:5:OVERFLOW



# GATHER NEW TOKENS:
#B(1) B#(2) A#(3) A#(4) 

# EXACT SAME STRING PREV:YES

# Tokens Without Numbers:
#B B# A# A#

# Solution:
<solution>#B B# A# A#</solution>
</EXAMPLE 2>


<EXAMPLE 3>
<problem>B# B# B# #A B# #A #A B# #A A# B# #B</problem>

# List Out
1. B#
2. B#
3. B#
4. #A
5. B#
6. #A
7. #A
8. B#
9. #A
10. A#
11. B#
12. #B



# NEW TOKENS:
B#(1) B#(2) B#(3) #A(4) B#(5) #A(6) #A(7) B#(8) #A(9) A#(10) B#(11) #B(12) 

# EXACT SAME STRING PREV:NO



# PASS 1:
NEXT INDEX:1:WITHIN
B#(1) B#(2):RULE:B# B# → B#(1)
NEXT INDEX:2:WITHIN
B#(2) B#(3):RULE:B# B# → B#(2)
NEXT INDEX:3:WITHIN
B#(3) #A(4):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:5:WITHIN
B#(5) #A(6):RULE:B# #A → #A(5) B#(6)
NEXT INDEX:7:WITHIN
#A(7) B#(8):RULE:#A B# → #A(7)
NEXT INDEX:8:WITHIN
B#(8) #A(9):RULE:B# #A → #A(8) B#(9)
NEXT INDEX:10:WITHIN
A#(10) B#(11):RULE:A# B# → A#(10)
NEXT INDEX:11:WITHIN
B#(11) #B(12):RULE:B# #B →
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
B#(1) B#(2) #A(3) B#(4) #A(5) B#(6) #A(7) #A(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 2:
NEXT INDEX:1:WITHIN
B#(1) B#(2):RULE:B# B# → B#(1)
NEXT INDEX:2:WITHIN
B#(2) #A(3):RULE:B# #A → #A(2) B#(3)
NEXT INDEX:4:WITHIN
B#(4) #A(5):RULE:B# #A → #A(4) B#(5)
NEXT INDEX:6:WITHIN
B#(6) #A(7):RULE:B# #A → #A(6) B#(7)
NEXT INDEX:8:WITHIN
#A(8) B#(9):RULE:#A B# → #A(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
B#(1) #A(2) B#(3) #A(4) B#(5) #A(6) B#(7) #A(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 3:
NEXT INDEX:1:WITHIN
B#(1) #A(2):RULE:B# #A → #A(1) B#(2)
NEXT INDEX:3:WITHIN
B#(3) #A(4):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:5:WITHIN
B#(5) #A(6):RULE:B# #A → #A(5) B#(6)
NEXT INDEX:7:WITHIN
B#(7) #A(8):RULE:B# #A → #A(7) B#(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
#A(1) B#(2) #A(3) B#(4) #A(5) B#(6) #A(7) B#(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 4:
NEXT INDEX:1:WITHIN
#A(1) B#(2):RULE:#A B# → #A(1)
NEXT INDEX:2:WITHIN
B#(2) #A(3):RULE:B# #A → #A(2) B#(3)
NEXT INDEX:4:WITHIN
B#(4) #A(5):RULE:B# #A → #A(4) B#(5)
NEXT INDEX:6:WITHIN
B#(6) #A(7):RULE:B# #A → #A(6) B#(7)
NEXT INDEX:8:WITHIN
B#(8) B#(9):RULE:B# B# → B#(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #A(2) B#(3) #A(4) B#(5) #A(6) B#(7) B#(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 5:
NEXT INDEX:1:WITHIN
#A(1) #A(2):RULE:#A #A → #A(1)
NEXT INDEX:2:WITHIN
#A(2) B#(3):RULE:#A B# → #A(2)
NEXT INDEX:3:WITHIN
B#(3) #A(4):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:5:WITHIN
B#(5) #A(6):RULE:B# #A → #A(5) B#(6)
NEXT INDEX:7:WITHIN
B#(7) B#(8):RULE:B# B# → B#(7)
NEXT INDEX:8:WITHIN
B#(8) B#(9):RULE:B# B# → B#(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #A(2) #A(3) B#(4) #A(5) B#(6) B#(7) B#(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 6:
NEXT INDEX:1:WITHIN
#A(1) #A(2):RULE:#A #A → #A(1)
NEXT INDEX:2:WITHIN
#A(2) #A(3):RULE:#A #A → #A(2)
NEXT INDEX:3:WITHIN
#A(3) B#(4):RULE:#A B# → #A(3)
NEXT INDEX:4:WITHIN
B#(4) #A(5):RULE:B# #A → #A(4) B#(5)
NEXT INDEX:6:WITHIN
B#(6) B#(7):RULE:B# B# → B#(6)
NEXT INDEX:7:WITHIN
B#(7) B#(8):RULE:B# B# → B#(7)
NEXT INDEX:8:WITHIN
B#(8) B#(9):RULE:B# B# → B#(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #A(2) #A(3) #A(4) B#(5) B#(6) B#(7) B#(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 7:
NEXT INDEX:1:WITHIN
#A(1) #A(2):RULE:#A #A → #A(1)
NEXT INDEX:2:WITHIN
#A(2) #A(3):RULE:#A #A → #A(2)
NEXT INDEX:3:WITHIN
#A(3) #A(4):RULE:#A #A → #A(3)
NEXT INDEX:4:WITHIN
#A(4) B#(5):RULE:#A B# → #A(4)
NEXT INDEX:5:WITHIN
B#(5) B#(6):RULE:B# B# → B#(5)
NEXT INDEX:6:WITHIN
B#(6) B#(7):RULE:B# B# → B#(6)
NEXT INDEX:7:WITHIN
B#(7) B#(8):RULE:B# B# → B#(7)
NEXT INDEX:8:WITHIN
B#(8) B#(9):RULE:B# B# → B#(8)
NEXT INDEX:9:WITHIN
B#(9) A#(10):RULE:B# A# → B#(9)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(10)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #A(2) #A(3) #A(4) B#(5) B#(6) B#(7) B#(8) B#(9) A#(10) 

# EXACT SAME STRING PREV:YES

# Tokens Without Numbers:
#A #A #A #A B# B# B# B# B# A#

# Solution:
<solution>#A #A #A #A B# B# B# B# B# A#</solution>
</EXAMPLE 3>


<EXAMPLE 4>
<problem>A# B# #A A# B# #B A# B# #A #A #A A#</problem>

# List Out
1. A#
2. B#
3. #A
4. A#
5. B#
6. #B
7. A#
8. B#
9. #A
10. #A
11. #A
12. A#



# NEW TOKENS:
A#(1) B#(2) #A(3) A#(4) B#(5) #B(6) A#(7) B#(8) #A(9) #A(10) #A(11) A#(12) 

# EXACT SAME STRING PREV:NO



# PASS 1:
NEXT INDEX:1:WITHIN
A#(1) B#(2):RULE:A# B# → A#(1)
NEXT INDEX:2:WITHIN
B#(2) #A(3):RULE:B# #A → #A(2) B#(3)
NEXT INDEX:4:WITHIN
A#(4) B#(5):RULE:A# B# → A#(4)
NEXT INDEX:5:WITHIN
B#(5) #B(6):RULE:B# #B →
NEXT INDEX:7:WITHIN
A#(7) B#(8):RULE:A# B# → A#(5)
NEXT INDEX:8:WITHIN
B#(8) #A(9):RULE:B# #A → #A(6) B#(7)
NEXT INDEX:10:WITHIN
#A(10) #A(11):RULE:#A #A → #A(8)
NEXT INDEX:11:WITHIN
#A(11) A#(12):RULE:#A A# → #A(9)
NEXT INDEX:12:WITHIN
A#(12):RULE:A# → A#(10)
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
A#(1) #A(2) B#(3) A#(4) A#(5) #A(6) B#(7) #A(8) #A(9) A#(10) 

# EXACT SAME STRING PREV:NO

# PASS 2:
NEXT INDEX:1:WITHIN
A#(1) #A(2):RULE:A# #A →
NEXT INDEX:3:WITHIN
B#(3) A#(4):RULE:B# A# → B#(1)
NEXT INDEX:4:WITHIN
A#(4) A#(5):RULE:A# A# → A#(2)
NEXT INDEX:5:WITHIN
A#(5) #A(6):RULE:A# #A →
NEXT INDEX:7:WITHIN
B#(7) #A(8):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:9:WITHIN
#A(9) A#(10):RULE:#A A# → #A(5)
NEXT INDEX:10:WITHIN
A#(10):RULE:A# → A#(6)
NEXT INDEX:11:OVERFLOW



# GATHER NEW TOKENS:
B#(1) A#(2) #A(3) B#(4) #A(5) A#(6) 

# EXACT SAME STRING PREV:NO

# PASS 3:
NEXT INDEX:1:WITHIN
B#(1) A#(2):RULE:B# A# → B#(1)
NEXT INDEX:2:WITHIN
A#(2) #A(3):RULE:A# #A →
NEXT INDEX:4:WITHIN
B#(4) #A(5):RULE:B# #A → #A(2) B#(3)
NEXT INDEX:6:WITHIN
A#(6):RULE:A# → A#(4)
NEXT INDEX:7:OVERFLOW



# GATHER NEW TOKENS:
B#(1) #A(2) B#(3) A#(4) 

# EXACT SAME STRING PREV:NO

# PASS 4:
NEXT INDEX:1:WITHIN
B#(1) #A(2):RULE:B# #A → #A(1) B#(2)
NEXT INDEX:3:WITHIN
B#(3) A#(4):RULE:B# A# → B#(3)
NEXT INDEX:4:WITHIN
A#(4):RULE:A# → A#(4)
NEXT INDEX:5:OVERFLOW



# GATHER NEW TOKENS:
#A(1) B#(2) B#(3) A#(4) 

# EXACT SAME STRING PREV:NO

# PASS 5:
NEXT INDEX:1:WITHIN
#A(1) B#(2):RULE:#A B# → #A(1)
NEXT INDEX:2:WITHIN
B#(2) B#(3):RULE:B# B# → B#(2)
NEXT INDEX:3:WITHIN
B#(3) A#(4):RULE:B# A# → B#(3)
NEXT INDEX:4:WITHIN
A#(4):RULE:A# → A#(4)
NEXT INDEX:5:OVERFLOW



# GATHER NEW TOKENS:
#A(1) B#(2) B#(3) A#(4) 

# EXACT SAME STRING PREV:YES

# Tokens Without Numbers:
#A B# B# A#

# Solution:
<solution>#A B# B# A#</solution>
</EXAMPLE 4>


<EXAMPLE 5>
<problem>A# #A #A A# #B #A B# B# #B #A A# B#</problem>

# List Out
1. A#
2. #A
3. #A
4. A#
5. #B
6. #A
7. B#
8. B#
9. #B
10. #A
11. A#
12. B#



# NEW TOKENS:
A#(1) #A(2) #A(3) A#(4) #B(5) #A(6) B#(7) B#(8) #B(9) #A(10) A#(11) B#(12) 

# EXACT SAME STRING PREV:NO



# PASS 1:
NEXT INDEX:1:WITHIN
A#(1) #A(2):RULE:A# #A →
NEXT INDEX:3:WITHIN
#A(3) A#(4):RULE:#A A# → #A(1)
NEXT INDEX:4:WITHIN
A#(4) #B(5):RULE:A# #B → #B(2) A#(3)
NEXT INDEX:6:WITHIN
#A(6) B#(7):RULE:#A B# → #A(4)
NEXT INDEX:7:WITHIN
B#(7) B#(8):RULE:B# B# → B#(5)
NEXT INDEX:8:WITHIN
B#(8) #B(9):RULE:B# #B →
NEXT INDEX:10:WITHIN
#A(10) A#(11):RULE:#A A# → #A(6)
NEXT INDEX:11:WITHIN
A#(11) B#(12):RULE:A# B# → A#(7)
NEXT INDEX:12:WITHIN
B#(12):RULE:B# → B#(8)
NEXT INDEX:13:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) A#(3) #A(4) B#(5) #A(6) A#(7) B#(8) 

# EXACT SAME STRING PREV:NO

# PASS 2:
NEXT INDEX:1:WITHIN
#A(1) #B(2):RULE:#A #B → #A(1)
NEXT INDEX:2:WITHIN
#B(2) A#(3):RULE:#B A# → #B(2)
NEXT INDEX:3:WITHIN
A#(3) #A(4):RULE:A# #A →
NEXT INDEX:5:WITHIN
B#(5) #A(6):RULE:B# #A → #A(3) B#(4)
NEXT INDEX:7:WITHIN
A#(7) B#(8):RULE:A# B# → A#(5)
NEXT INDEX:8:WITHIN
B#(8):RULE:B# → B#(6)
NEXT INDEX:9:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) #A(3) B#(4) A#(5) B#(6) 

# EXACT SAME STRING PREV:NO

# PASS 3:
NEXT INDEX:1:WITHIN
#A(1) #B(2):RULE:#A #B → #A(1)
NEXT INDEX:2:WITHIN
#B(2) #A(3):RULE:#B #A → #B(2)
NEXT INDEX:3:WITHIN
#A(3) B#(4):RULE:#A B# → #A(3)
NEXT INDEX:4:WITHIN
B#(4) A#(5):RULE:B# A# → B#(4)
NEXT INDEX:5:WITHIN
A#(5) B#(6):RULE:A# B# → A#(5)
NEXT INDEX:6:WITHIN
B#(6):RULE:B# → B#(6)
NEXT INDEX:7:OVERFLOW



# GATHER NEW TOKENS:
#A(1) #B(2) #A(3) B#(4) A#(5) B#(6) 

# EXACT SAME STRING PREV:YES

# Tokens Without Numbers:
#A #B #A B# A# B#

# Solution:
<solution>#A #B #A B# A# B#</solution>

</EXAMPLE 5>


# Guidelines:
- Make SURE complete to every step PERFECTLY without ANY Mistakes
- End with <solution>Solution</solution> Format
- Follow the Rules I Gave you and Remember to Index the Values

Take a Deep Breath and Carefully Follow the Rules, Guides and Examples I gave you. I will tip you $2000 if you do EVERYTHING Perfectly.

tip $2000 really helps?

+1