Gemini 2.0 Flash Experimental, 2024-dec-20

Temperature: 0

System instructions:
You are an expert at solving ARC (Abstraction & reasoning corpus) puzzles.

---

Solve this ARC puzzle.

```python
# pair 0
input0=np.zeros((3,3),dtype=np.uint8)
input0[0:2,0]=9
input0[0:2,2]=4
input0[2,0]=2
output0=np.zeros((6,3),dtype=np.uint8)
output0[0:2,0]=9
output0[0:2,2]=4
output0[2:4,0]=2
output0[4:6,0]=9
output0[4:6,2]=4
# pair 1
input1=np.zeros((3,3),dtype=np.uint8)
input1[0,0]=4
input1[0,1]=8
input1[0,2]=4
input1[1,0]=7
input1[1,1]=6
input1[1,2]=7
input1[2,0]=8
input1[2,1]=7
input1[2,2]=8
output1=np.zeros((6,3),dtype=np.uint8)
output1[0,0]=4
output1[0,1]=8
output1[0,2]=4
output1[1,0]=7
output1[1,1]=6
output1[1,2]=7
output1[2:4,0]=8
output1[2:4,1]=7
output1[2:4,2]=8
output1[4,0]=7
output1[4,1]=6
output1[4,2]=7
output1[5,0]=4
output1[5,1]=8
output1[5,2]=4
# pair 2
input2=np.zeros((3,3),dtype=np.uint8)
input2[0,:]=7
input2[1,0]=9
input2[1,1:3]=5
input2[2,0]=5
input2[2,1]=1
input2[2,2]=7
output2=np.zeros((6,3),dtype=np.uint8)
output2[0,:]=7
output2[1,0]=9
output2[1,1:3]=5
output2[2:4,0]=5
output2[2:4,1]=1
output2[2:4,2]=7
output2[4,0]=9
output2[4,1:3]=5
output2[5,:]=7
# pair 3
input3=np.zeros((3,3),dtype=np.uint8)
input3[:,0]=2
input3[0:2,1]=6
input3[0:2,2]=9
input3[2,1]=9
input3[2,2]=2
output3=np.zeros((6,3),dtype=np.uint8)
output3[:,0]=2
output3[0:2,1]=6
output3[0:2,2]=9
output3[2:4,1]=9
output3[2:4,2]=2
output3[4:6,1]=6
output3[4:6,2]=9
# pair 4
test_input=np.zeros((3,3),dtype=np.uint8)
test_input[0,0]=2
test_input[0,1]=9
test_input[0:2,2]=2
test_input[1,0]=8
test_input[1,1]=5
test_input[2,0:2]=2
test_input[2,2]=8
test_output=PREDICT THIS!
```

Understanding the puzzle before presenting the answer.

Carefully do step-by-step reasoning. Don't hide any reasoning steps.

Analyze the given input-output pairs to identify the transformation pattern.

Given the `test_input` array as defined, determine the exact numeric values of each cell in `test_output`.
Do not refer to `test_input` in your answer—just show the final array of digits that result
from applying the same transformation pattern observed in the previous pairs.

Return the content of `test_output` as json wrapped in three back quotes, like this:
```json
[[1,2,3],[4,5,6]]
```

---

Let's analyze the transformations in the provided examples.

**Pair 0:**

*   Input: 3x3 array.
*   Output: 6x3 array.
*   Transformation: The first two rows of the input are copied to the first two rows of the output. The third row of the input is copied to rows 3 and 4 of the output. Rows 5 and 6 of the output are a copy of rows 1 and 2 of the input.

**Pair 1:**

*   Input: 3x3 array.
*   Output: 6x3 array.
*   Transformation: The first row of the input is copied to the first row of the output. The second row of the input is copied to the second row of the output. The third row of the input is copied to rows 3 and 4 of the output. The second row of the input is copied to row 5 of the output. The first row of the input is copied to row 6 of the output.

**Pair 2:**

*   Input: 3x3 array.
*   Output: 6x3 array.
*   Transformation: The first row of the input is copied to the first row of the output. The second row of the input is copied to the second row of the output. The third row of the input is copied to rows 3 and 4 of the output. The second row of the input is copied to row 5 of the output. The first row of the input is copied to row 6 of the output.

**Pair 3:**

*   Input: 3x3 array.
*   Output: 6x3 array.
*   Transformation: The first row of the input is copied to the first row of the output. The second row of the input is copied to the second row of the output. The third row of the input is copied to rows 3 and 4 of the output. The first and second rows of the input are copied to rows 5 and 6 of the output.

**General Pattern:**

The pattern seems to be:
1. Copy the first row of the input to the first row of the output.
2. Copy the second row of the input to the second row of the output.
3. Copy the third row of the input to rows 3 and 4 of the output.
4. Copy the second row of the input to row 5 of the output.
5. Copy the first row of the input to row 6 of the output.

**Applying the Pattern to `test_input`:**

`test_input` is:
```
[[2 9 2]
 [8 5 2]
 [2 2 8]]
```

Following the pattern:

*   Row 1 of `test_output` = Row 1 of `test_input` = `[2, 9, 2]`
*   Row 2 of `test_output` = Row 2 of `test_input` = `[8, 5, 2]`
*   Row 3 of `test_output` = Row 3 of `test_input` = `[2, 2, 8]`
*   Row 4 of `test_output` = Row 3 of `test_input` = `[2, 2, 8]`
*   Row 5 of `test_output` = Row 2 of `test_input` = `[8, 5, 2]`
*   Row 6 of `test_output` = Row 1 of `test_input` = `[2, 9, 2]`

Therefore, `test_output` is:
```
[[2, 9, 2],
 [8, 5, 2],
 [2, 2, 8],
 [2, 2, 8],
 [8, 5, 2],
 [2, 9, 2]]
```
```json
[[2, 9, 2], [8, 5, 2], [2, 2, 8], [2, 2, 8], [8, 5, 2], [2, 9, 2]]
```
