evals/prompts/pattern_intformat.txt

Game: Pattern

Solve the following Pattern puzzle. You are given a 2D ASCII board representation. 

Legend:
The puzzle grid is encoded using integers and letters (0-9, A-Z) where each character maps to a specific symbol:

- 0 = space
- A = . (empty cell)
- B = # (filled cell)
- X = + (vertex)
- Y = - (horizontal edge)
- Z = | (vertical edge)
- 1-9 = digits 1-9 (clues)

-Digits on top and left sides of the grid (called "clues") indicating how many cells in that row or column should form a connected pattern. 


Rules:
Patterns are formed by placing B into cells that should be filled and A into cells that should stay empty. For example when there are two clues of "3" in a row, it means that there should be two separate groups of three connected B cells in that row. 
Only place B and A in empty cells (zeros). Do not modify or move any of the existing X, Y, Z, or numbers. Each row and column must contain exactly the number of connected B groups as indicated by the clues. The pattern must be continuous (all B cells must be connected horizontally or vertically).

Think step by step then output only the solved board in json format as shown below.

Output Format:

Return your final answer exactly like this:

```json
{"response": "{final board state}"}
```

Example Puzzle:

Input:

0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,3,0,0,1,0,0,3,0,0,3,0
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
1,0,2,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,2,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
1,0,2,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,2,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,3,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z,0,0,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X

Solution:

```json
{"response": "
0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0
0,0,0,0,0,2,0,0,3,0,0,1,0,0,3,0,0,3,0
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
1,0,2,Z,A,A,Z,B,B,Z,A,A,Z,B,B,Z,B,B,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,2,Z,A,A,Z,A,A,Z,A,A,Z,B,B,Z,B,B,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
1,0,2,Z,A,A,Z,B,B,Z,A,A,Z,B,B,Z,B,B,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,2,Z,B,B,Z,B,B,Z,A,A,Z,A,A,Z,A,A,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
0,0,3,Z,B,B,Z,B,B,Z,B,B,Z,A,A,Z,A,A,Z
0,0,0,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X,Y,Y,X
"}```

Now solve this puzzle: