<|start_header_id|>user<|end_header_id|>
Input:
[[0 0 0 0 0 5 0 0 0]
 [0 5 0 0 0 5 0 0 0]
 [0 5 0 0 0 5 0 0 0]
 [0 5 0 5 0 5 0 0 0]
 [0 5 0 5 0 5 0 0 0]
 [0 5 0 5 0 5 0 0 0]
 [0 5 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]]

Output:
[[0 0 0 0 0 1 0 0 0]
 [0 2 0 0 0 1 0 0 0]
 [0 2 0 0 0 1 0 0 0]
 [0 2 0 3 0 1 0 0 0]
 [0 2 0 3 0 1 0 0 0]
 [0 2 0 3 0 1 0 0 0]
 [0 2 0 3 0 1 0 4 0]
 [0 2 0 3 0 1 0 4 0]
 [0 2 0 3 0 1 0 4 0]]

Input:
[[0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 5 0]
 [0 0 0 0 0 0 0 5 0]
 [0 0 0 0 0 0 0 5 0]
 [0 0 0 5 0 0 0 5 0]
 [0 0 0 5 0 5 0 5 0]
 [0 0 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]]

Output:
[[0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 1 0]
 [0 0 0 0 0 0 0 1 0]
 [0 0 0 0 0 0 0 1 0]
 [0 0 0 2 0 0 0 1 0]
 [0 0 0 2 0 3 0 1 0]
 [0 0 0 2 0 3 0 1 0]
 [0 4 0 2 0 3 0 1 0]
 [0 4 0 2 0 3 0 1 0]]

Test input:
[[0 0 0 0 0 0 0 0 0]
 [0 5 0 0 0 0 0 0 0]
 [0 5 0 0 0 5 0 0 0]
 [0 5 0 0 0 5 0 0 0]
 [0 5 0 0 0 5 0 5 0]
 [0 5 0 0 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]
 [0 5 0 5 0 5 0 5 0]]
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
Reasoning:
Here, both inputs and outputs consist of four vertical bars. The input has only grey bars whereas the corresponding output is colored in such a way that the highest bar is blue, the second highest bar is red, the third highest bar is green, and the lowest bar is yellow.

Output:
[[0 0 0 0 0 0 0 0 0]
 [0 1 0 0 0 0 0 0 0]
 [0 1 0 0 0 2 0 0 0]
 [0 1 0 0 0 2 0 0 0]
 [0 1 0 0 0 2 0 3 0]
 [0 1 0 0 0 2 0 3 0]
 [0 1 0 4 0 2 0 3 0]
 [0 1 0 4 0 2 0 3 0]
 [0 1 0 4 0 2 0 3 0]]
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Input:
[[0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 8 8 8 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0]
 [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 8 8 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]

Output:
[[3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 8 3 3 3 3 3 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 3 3 3 8 3 3 3 3 3 8 3 3 3 3 3 3]
 [3 3 3 8 8 8 8 8 8 8 8 8 8 3 3 3 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 2 2 2 8 3 3 3 3 3 8 3 3 3 8 3 3]
 [3 3 3 3 3 3 8 2 2 2 8 3 3 3 3 3 8 3 3 3 8 3 3]
 [3 3 3 3 3 3 8 2 2 2 8 3 3 3 3 3 8 3 3 3 8 3 3]
 [3 3 3 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3]
 [3 3 3 3 3 3 8 2 2 2 8 2 2 2 2 2 8 3 3 3 8 3 3]
 [3 3 3 3 3 3 8 2 2 2 8 2 2 2 2 2 8 3 3 3 8 3 3]
 [3 3 3 3 3 3 8 2 2 2 2 2 2 2 2 2 8 3 3 3 8 3 3]
 [3 3 3 3 3 3 8 2 2 2 2 2 2 2 2 2 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 2 2 2 2 2 2 2 2 2 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 2 2 2 2 2 2 2 2 2 8 3 3 3 3 3 3]
 [8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 3 3 3 3 3]
 [3 3 3 3 3 3 8 3 3 3 3 3 3 8 2 2 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 3 3 3 3 3 3 8 2 2 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 3 3 3 3 3 3 8 2 2 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 8 3 3 3 3 3 8 8 8 8 8 8 8 8 8 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 8 3 3 8 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]

Input:
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]

Output:
[[3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1]
 [3 3 3 3 1 2 2 2 2 2 1 2 2 2 2 2 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 2 2 2 2 2 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 2 2 2 2 2 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 2 2 2 2 2 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 1 1 1 1 1 1 1 1 1 1 1 1 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 1 1 1 1 1 1 1 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 1 3 3 3 3 3 1 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]

Input:
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4]
 [0 4 4 4 4 4 4 4 4 4 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 0 0]
 [0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]

Output:
[[3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 4 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 3 3 3 3 3 3 3 3 4 3 3 3 3 3 3 3]
 [3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 4 4 4 4 4 4 4 4 4 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 2 2 2 2 2 2 4 3 3 3 3 3 3 3]
 [3 3 3 3 4 2 2 4 2 2 2 2 2 4 3 3 3 3 4 3 3]
 [3 3 3 3 4 2 2 4 2 2 2 2 2 4 3 3 3 3 4 3 3]
 [3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3]
 [3 3 3 3 4 2 2 4 3 3 3 3 3 4 2 2 2 2 4 3 3]
 [3 3 3 3 4 2 2 4 3 3 3 3 3 4 2 2 2 2 4 3 3]
 [3 3 3 3 4 2 2 4 3 3 3 3 4 4 4 4 4 4 4 4 4]
 [3 4 4 4 4 4 4 4 4 4 3 3 3 4 3 3 3 3 4 3 3]
 [3 3 3 3 4 3 3 4 3 3 3 3 3 4 3 3 3 3 4 3 3]
 [3 3 3 3 4 3 3 4 3 3 3 3 3 4 3 3 3 3 4 3 3]
 [3 3 3 3 4 3 3 4 3 3 3 3 3 4 3 3 3 3 3 3 3]
 [3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]

Test input:
[[0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 7 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 7 7 7 7 7 7 7 7 7 0 0 0 0]
 [0 0 0 7 7 7 7 7 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 7 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]]
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
Reasoning:
Here the input consists of a combination of vertical and horizontal bars on a uniform background. The output shows the same pattern with the bars, but the background is changed: these parts of the background that are enclosed with the bars are red, whereas the rest of the background is green.

Output:
[[3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 7 3 3 3 3 7 3 3 3 3 3 7 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 7 3 3 3 3 7 3 3 3 3 3 7 3 3]
 [3 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 2 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 2 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 2 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 2 2 2 2 2 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 3 3 3 3 3 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 7 2 2 2 2 7 3 3 3 3 3 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 2 2 2 2 2 7 3 3 3 3 3 7 3 3]
 [3 3 3 3 3 7 2 2 2 2 2 2 2 2 2 2 7 3 3 3 3 3 3 3 3]
 [3 3 3 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 7 7 7 7 7 7 7 7 7 3 3 3 3]
 [3 3 3 7 7 7 7 7 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 7 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]
 [3 3 3 3 3 7 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3]]
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Input:
[[1 1 3 2 1 1 3 2]
 [1 1 3 3 1 1 3 3]
 [3 3 1 1 3 3 1 1]
 [2 3 1 1 2 3 1 1]]

Output:
[[1 1 3 2]
 [1 1 3 3]
 [3 3 1 1]
 [2 3 1 1]]

Input:
[[4 4 4 4 4 4]
 [6 4 8 6 4 8]
 [6 6 8 6 6 8]]

Output:
[[4 4 4]
 [6 4 8]
 [6 6 8]]

Input:
[[2 3]
 [3 2]
 [4 4]
 [2 3]
 [3 2]
 [4 4]]

Output:
[[2 3]
 [3 2]
 [4 4]]

Test input:
[[5 4 5]
 [4 5 4]
 [6 6 4]
 [2 6 2]
 [5 4 5]
 [4 5 4]
 [6 6 4]
 [2 6 2]]
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
Reasoning:
Here the input contains two copies of the same sub-grid, stacked either vertically or horizontally. The output is a two times smaller grid consisting of a single sub-grid from the input.

Output:
[[5 4 5]
 [4 5 4]
 [6 6 4]
 [2 6 2]]
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Input:
[[0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 3 3 0 0 0 0 0 0]
 [0 0 3 3 0 0 0 0 0 0]
 [0 0 0 0 3 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]

Output:
[[0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 3 3 0 0 0 0 0 0]
 [0 0 3 3 0 0 0 0 0 0]
 [0 0 0 0 3 0 0 0 0 0]
 [0 0 0 0 0 3 0 0 0 0]
 [0 0 0 0 0 0 3 0 0 0]
 [0 0 0 0 0 0 0 3 0 0]
 [0 0 0 0 0 0 0 0 3 0]
 [0 0 0 0 0 0 0 0 0 3]]

Input:
[[0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 4 0 0 0]
 [0 0 0 0 4 4 0 0 0 0]
 [0 0 0 0 4 4 0 0 0 0]
 [0 0 0 0 0 0 4 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]

Output:
[[0 0 0 0 0 0 0 4 0 0]
 [0 0 0 0 0 0 4 0 0 0]
 [0 0 0 0 4 4 0 0 0 0]
 [0 0 0 0 4 4 0 0 0 0]
 [0 0 0 0 0 0 4 0 0 0]
 [0 0 0 0 0 0 0 4 0 0]
 [0 0 0 0 0 0 0 0 4 0]
 [0 0 0 0 0 0 0 0 0 4]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]

Input:
[[0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 7 0 0 0]
 [0 0 0 0 7 7 0 0 0 0]
 [0 0 0 0 7 7 0 0 0 0]
 [0 0 0 7 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]

Output:
[[0 0 0 0 0 0 0 0 7 0]
 [0 0 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 0 7 0 0 0]
 [0 0 0 0 7 7 0 0 0 0]
 [0 0 0 0 7 7 0 0 0 0]
 [0 0 0 7 0 0 0 0 0 0]
 [0 0 7 0 0 0 0 0 0 0]
 [0 7 0 0 0 0 0 0 0 0]
 [7 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]

Test input:
[[0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 8 0 0 0 0]
 [0 0 0 8 8 0 0 0 0 0]
 [0 0 0 8 8 0 0 0 0 0]
 [0 0 8 0 0 8 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0 0]]
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
Reasoning:
Here the input consists of a 2x2 square and one or more 1x1 square of the same color, all of them with corners touching the 2x2 square. The output has the same 2x2 square and multiple and multiple 1x1 squares placed diagonally between the 2x2 square and the boarder of the grid, in directions indicated by the 1x1 squares in the input.

Output:
[[0 0 0 0 0 0 0 0 8 0]
 [0 0 0 0 0 0 0 8 0 0]
 [0 0 0 0 0 0 8 0 0 0]
 [0 0 0 0 0 8 0 0 0 0]
 [0 0 0 8 8 0 0 0 0 0]
 [0 0 0 8 8 0 0 0 0 0]
 [0 0 8 0 0 8 0 0 0 0]
 [0 8 0 0 0 0 8 0 0 0]
 [8 0 0 0 0 0 0 8 0 0]
 [0 0 0 0 0 0 0 0 8 0]]
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
Input:
[[1 1 0]
 [1 1 1]
 [0 0 0]]

Output:
[[1 1 0]
 [1 1 1]
 [0 0 0]
 [0 0 0]
 [1 1 1]
 [1 1 0]]

Input:
[[0 0 0]
 [1 0 1]
 [1 1 0]]

Output:
[[0 0 0]
 [1 0 1]
 [1 1 0]
 [1 1 0]
 [1 0 1]
 [0 0 0]]

Input:
[[0 0 0]
 [0 0 1]
 [0 0 1]]

Output:
[[0 0 0]
 [0 0 1]
 [0 0 1]
 [0 0 1]
 [0 0 1]
 [0 0 0]]

Test input:
[[0 0 0]
 [0 0 1]
 [1 0 0]]
<|eot_id|>

<|start_header_id|>assistant<|end_header_id|>
Reasoning:
Here we see that output is always a vertical concatenation of the original input and its horizontal reflection.

Output:
[[0 0 0]
 [0 0 1]
 [1 0 0]
 [1 0 0]
 [0 0 1]
 [0 0 0]]
<|eot_id|>

<|start_header_id|>user<|end_header_id|>
