001 • Response

puzzle_id:: 1-3aa6fb7a
description:: example_1
timestamp:: 24.329.064813
call_count:: 1
model:: models/gemini-1.5-flash-002

The input grid shows a cluster of azure (8) pixels. The output grid is identical except one azure pixel has changed to blue (1). The blue pixel is adjacent to, and below, a cluster of azure pixels.

code_execution:

import numpy as np

input_grid = np.array([[0, 0, 0, 0, 0, 0, 0],
                      [0, 8, 0, 0, 0, 0, 0],
                      [0, 8, 8, 0, 0, 0, 0],
                      [0, 0, 0, 0, 8, 8, 0],
                      [0, 0, 0, 0, 0, 8, 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, 8, 1, 0, 0, 0, 0],
                       [0, 8, 8, 0, 0, 0, 0],
                       [0, 0, 0, 0, 8, 8, 0],
                       [0, 0, 0, 0, 1, 8, 0],
                       [0, 0, 0, 0, 0, 0, 0],
                       [0, 0, 0, 0, 0, 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: 1

Differences found at coordinates: (array([1, 4]), array([2, 4]))
Input grid shape: (7, 7)
Number of azure pixels in input: 6
Number of blue pixels in output: 2

input:
  width: 7
  height: 7
  colors:
    - 0: 43
    - 8: 6
  objects:
    - size: 6, position: scattered, color: azure

output:
  width: 7
  height: 7
  colors:
    - 0: 43
    - 8: 4
    - 1: 2
  objects:
    - size: 4, position: scattered, color: azure
    - size: 2, position: scattered, color: blue

differences:
  cells_changed: 2
  colors_changed: Two azure pixels changed to blue.  The blue pixels are adjacent to the remaining cluster of azure pixels.
transformation:
  - A subset of azure pixels change to blue.  Specifically, azure pixels adjacent to other azure pixels are transformed.  The transformation might depend on the location and size of the cluster.

Based on the analysis, a possible natural language program for the transformation is: “Identify clusters of azure pixels. Change one azure pixel in each cluster to blue, selecting a pixel adjacent to other azure pixels within the cluster. If there’s only one azure pixel, leave it unchanged.” This needs further validation with more examples.

time
response time	total elapsed
7.662	7.739

usage
token type	call count	total used
Prompt	2330	2330
Response	822	822
Total	3152	3152
Cached	0	0