002 • Response

puzzle_id:: 1-3aa6fb7a
description:: example_2
timestamp:: 24.329.064813
call_count:: 2
model:: models/gemini-1.5-flash-002

The input grid for example 2 shows several clusters of azure (8) pixels. The output grid is almost identical, but several azure pixels have been replaced with blue (1) pixels. Each blue pixel appears adjacent to, and below or to the left of, a remaining azure pixel within the same cluster.

code_execution:

import numpy as np

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

output_grid = np.array([[0, 0, 0, 0, 8, 8, 0],
                       [0, 0, 0, 0, 1, 8, 0],
                       [0, 0, 8, 1, 0, 0, 0],
                       [0, 0, 8, 8, 0, 0, 0],
                       [0, 0, 0, 0, 0, 0, 0],
                       [0, 0, 0, 1, 8, 0, 0],
                       [0, 0, 0, 8, 8, 0, 0]])

diff = np.where(input_grid != output_grid)
print(f"Differences found at coordinates: {diff}")
print(f"Input grid shape: {input_grid.shape}")
print(f"Number of azure pixels in input: {np.count_nonzero(input_grid == 8)}}")
print(f"Number of blue pixels in output: {np.count_nonzero(output_grid == 1)}")

code_execution_result:

Differences found at coordinates: (array([1, 2, 5]), array([4, 3, 3]))
Input grid shape: (7, 7)
Number of azure pixels in input: 10
Number of blue pixels in output: 3

input:
  width: 7
  height: 7
  colors:
    - 0: 40
    - 8: 10
  objects:
    - size: 10, position: scattered, color: azure

output:
  width: 7
  height: 7
  colors:
    - 0: 40
    - 8: 7
    - 1: 3
  objects:
    - size: 7, position: scattered, color: azure
    - size: 3, position: scattered, color: blue

differences:
  cells_changed: 3
  colors_changed: Three azure pixels changed to blue. Each blue pixel is below or to the left of a cluster of azure pixels.
transformation:
  -  Similar to example 1, a subset of azure pixels changes to blue.  The transformation seems to target azure pixels that are adjacent to other azure pixels, but the selection is more complex and might be based on the overall cluster's shape.

Based on the two examples, the transformation appears to select a subset of azure pixels within each cluster to change to blue. The selection criteria seem to favor pixels adjacent to other azure pixels, and potentially also considers positional relationships within the cluster (below or to the left). More examples would help refine the natural language program and clarify any ambiguities in the selection process.

time
response time	total elapsed
6.646	14.459

usage
token type	call count	total used
Prompt	3946	6276
Response	890	1712
Total	4836	7988
Cached	0	0