001 • Response

puzzle_id:: 5-150deff5
description:: example_1
timestamp:: 24.329.064813
call_count:: 1
model:: models/gemini-1.5-flash-002

The input grid shows a blob-like shape composed of gray pixels (value 5). The output grid shows a similar shape, but the gray pixels have been replaced with a different pattern of light blue (value 8) and red (value 2) pixels. The overall shape and size of the blob remain consistent, only the internal pixel values change. The transformation seems to involve a local replacement rule, where each gray pixel is replaced based on its neighboring pixels, possibly maintaining some kind of adjacency structure.

code_execution:

import numpy as np

input_grid = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                      [0, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0],
                      [0, 0, 5, 5, 5, 5, 5, 0, 0, 0, 0],
                      [0, 0, 0, 5, 5, 5, 0, 0, 0, 0, 0],
                      [0, 0, 0, 5, 5, 5, 5, 5, 0, 0, 0],
                      [0, 0, 0, 5, 0, 0, 5, 5, 0, 0, 0],
                      [0, 0, 0, 0, 0, 5, 5, 5, 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_grid = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],
                       [0, 0, 8, 8, 0, 0, 0, 0, 0, 0, 0],
                       [0, 0, 8, 8, 2, 2, 2, 0, 0, 0, 0],
                       [0, 0, 0, 2, 8, 8, 0, 0, 0, 0, 0],
                       [0, 0, 0, 2, 8, 8, 8, 8, 0, 0, 0],
                       [0, 0, 0, 2, 0, 0, 8, 8, 0, 0, 0],
                       [0, 0, 0, 0, 0, 2, 2, 2, 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]])

gray_indices = np.where(input_grid == 5)
print(f"Gray pixel coordinates: {gray_indices}")

#Analyze neighborhood for rule discovery.  This would require more examples to establish a definitive pattern.

code_execution_result: 1

Gray pixel coordinates: (array([1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6]), array([2, 3, 2, 3, 4, 5, 6, 3, 4, 5, 3, 4, 5, 6, 7, 3, 6, 7, 5, 6, 7]))

input:
  width: 11
  height: 9
  colors:
    - 0: 91
    - 5: 21
  objects:
    - size: 21, position: centered, color: gray
output:
  width: 11
  height: 9
  colors:
    - 0: 91
    - 2: 10
    - 8: 11
  objects:
    - size: 21, position: centered, color: a mix of light blue and red, forming a similar shape
differences:
  cells_changed: 21
  colors_changed: Gray pixels (5) are replaced with a mix of light blue (8) and red (2) pixels.
transformation:
  - The gray blob is transformed into a similar-shaped blob, with gray pixels replaced by a pattern of light blue and red pixels. The pattern seems to depend on the local neighborhood of the original gray pixel.

time
response time	total elapsed
10.08	10.193

usage
token type	call count	total used
Prompt	2538	2538
Response	1165	1165
Total	3703	3703
Cached	0	0