003 • Response

puzzle_id:: 2-0ca9ddb6
description:: example_3
timestamp:: 24.329.064813
call_count:: 3
model:: models/gemini-1.5-flash-002

The input grid is a 9x9 grid with a sparse distribution of colored pixels. There’s a red (2) pixel, a blue (1) pixel, and a magenta (6) pixel. The output grid shows the same colored pixels, but now the red pixel is surrounded by a yellow (4) cross, and the blue pixel is embedded within a 3x3 square of orange (7) pixels. The magenta pixel remains unchanged.

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, 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, 6, 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]])

output_grid = np.array([[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, 0, 0, 0],
                       [0, 0, 0, 0, 0, 0, 6, 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]])

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)
magenta_indices = np.where(input_grid ==6)

print("\nRed Pixel Coordinates:", red_indices)
print("Blue Pixel Coordinates:", blue_indices)
print("Magenta Pixel Coordinates:", magenta_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 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 6 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]]

Output Grid:
 [[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 0 0 0]
 [0 0 0 0 0 0 6 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]]

Red Pixel Coordinates: (array([2]), array([2]))
Blue Pixel Coordinates: (array([7]), array([3]))
Magenta Pixel Coordinates: (array([5]), array([6]))

input:
  width: 9
  height: 9
  colors:
    - 0: 71
    - 1: 1
    - 2: 1
    - 6: 1
  objects:
    - size: 1x1, position: (2,2), color: red
    - size: 1x1, position: (7,3), color: blue
    - size: 1x1, position: (5,6), color: magenta

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

differences:
  cells_changed: 8
  colors_changed: added yellow cross around red, orange 3x3 around blue
transformation:
  - A yellow cross pattern is added around the red pixel.
  - A 3x3 square of orange pixels is added around the blue pixel.
  - The magenta pixel remains unchanged.

The transformation pattern remains consistent across all three examples. Red pixels gain a yellow cross pattern, blue pixels are surrounded by a 3x3 orange square, and other colors are unaffected. There is no apparent relationship between the positions of the original pixels and the pattern placement. The only consistent factor is the color of the original pixel and its immediate surroundings.

time
response time	total elapsed
14.442	43.617

usage
token type	call count	total used
Prompt	7480	14873
Response	1636	4791
Total	9116	19664
Cached	0	0