001 • Response

puzzle_id:: 2-0ca9ddb6
description:: example_1
timestamp:: 24.329.064813
call_count:: 1
model:: models/gemini-1.5-flash-002

The input grid is a 9x9 grid containing mostly white pixels (0). There is a single red (2) pixel at (3,2) and a single blue (1) pixel at (7,6).

The output grid expands on the input. The red pixel remains unchanged. The blue pixel is surrounded by orange (7) pixels, forming a 3x3 square with the blue pixel in the center. Additionally, yellow (4) pixels appear in a cross pattern around the red pixel.

code_execution:

import numpy as np

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

output_grid = np.array([[0, 0, 0, 0, 0, 0, 0, 0, 0],
                       [0, 0, 0, 0, 0, 0, 0, 0, 0],
                       [0, 4, 0, 4, 0, 0, 0, 0, 0],
                       [0, 0, 2, 0, 0, 0, 0, 0, 0],
                       [0, 4, 0, 4, 0, 0, 0, 0, 0],
                       [0, 0, 0, 0, 0, 0, 7, 0, 0],
                       [0, 0, 0, 0, 0, 7, 1, 7, 0],
                       [0, 0, 0, 0, 0, 0, 7, 0, 0],
                       [0, 0, 0, 0, 0, 0, 0, 0, 0]])

print("Input Grid:\n", input_grid)
print("\nOutput Grid:\n", output_grid)

red_indices = np.where(input_grid == 2)
blue_indices = np.where(input_grid == 1)

print("\nRed Pixel Coordinates:", red_indices)
print("Blue Pixel Coordinates:", blue_indices)

code_execution_result: 1

Input Grid:
 [[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 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 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]]

Output Grid:
 [[0 0 0 0 0 0 0 0 0]
 [0 0 0 0 0 0 0 0 0]
 [0 4 0 4 0 0 0 0 0]
 [0 0 2 0 0 0 0 0 0]
 [0 4 0 4 0 0 0 0 0]
 [0 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 7 1 7 0]
 [0 0 0 0 0 0 7 0 0]
 [0 0 0 0 0 0 0 0 0]]

Red Pixel Coordinates: (array([3]), array([2]))
Blue Pixel Coordinates: (array([6]), array([6]))

input:
  width: 9
  height: 9
  colors:
    - 0: 71
    - 1: 1
    - 2: 1
  objects:
    - size: 1x1, position: (3,2), color: red
    - size: 1x1, position: (6,6), color: blue

output:
  width: 9
  height: 9
  colors:
    - 0: 64
    - 2: 1
    - 4: 4
    - 7: 4
  objects:
    - size: 1x1, position: (3,2), color: red
    - size: 3x3, position: (6,5), color: blue surrounded by orange
    - size: 1x1, position: (2,1), color: yellow
    - size: 1x1, position: (2,3), color: yellow
    - size: 1x1, position: (4,1), color: yellow
    - size: 1x1, position: (4,3), color: yellow

differences:
  cells_changed: 13
  colors_changed: added yellow and orange colors around the blue pixel and added yellow pixels in a cross pattern around the red pixel.
transformation:
  - A cross pattern of yellow pixels appears around the red pixel.
  - The blue pixel is surrounded by an orange 3x3 square.

The transformation seems to involve the addition of new colored pixels around the existing red and blue pixels, forming distinct patterns. The red pixel gets a yellow cross, and the blue gets a 3x3 orange square. There’s no obvious mathematical relationship or positional rule beyond proximity to the original pixels.

time
response time	total elapsed
13.011	13.107

usage
token type	call count	total used
Prompt	2465	2465
Response	1533	1533
Total	3998	3998
Cached	0	0