003 • Response

puzzle_id:: 6-0520fde7
description:: example_3
timestamp:: 24.329.064813
call_count:: 3
model:: models/gemini-1.5-flash-002

Example 3 Analysis

The input grid is a 3x7 grid. It contains white (0), blue (1), and gray (5) pixels. The gray pixels form a vertical line in the center. The blue pixels are somewhat clustered around the gray line but less densely than in the previous examples.

The output grid is a 3x3 grid. It contains white (0) and red (2) pixels. Two red pixels are placed in the corners, at positions (1,0) and (2,2).

code_execution:

import numpy as np

input_grid = np.array([[0, 0, 1, 5, 0, 0, 0],
                      [1, 1, 0, 5, 1, 0, 1],
                      [0, 1, 1, 5, 1, 0, 1]])

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

print("Input Grid Shape:", input_grid.shape)
print("Output Grid Shape:", output_grid.shape)

print("\nInput Grid Color Counts:")
for color, count in np.nditer(np.unique(input_grid, return_counts=True)):
    print(f"{color}: {count}")

print("\nOutput Grid Color Counts:")
for color, count in np.nditer(np.unique(output_grid, return_counts=True)):
    print(f"{color}: {count}")

code_execution_result: 1

Input Grid Shape: (3, 7)
Output Grid Shape: (3, 3)

Input Grid Color Counts:
0: 9
1: 7
5: 3

Output Grid Color Counts:
0: 7
2: 2

input:
  width: 7
  height: 3
  colors:
    - 0: 9
    - 1: 7
    - 5: 3
  objects:
    - size: 3x1, position: center, color: gray
    - size: various, position: around central gray line, color: blue

output:
  width: 3
  height: 3
  colors:
    - 0: 7
    - 2: 2
  objects:
    - size: 1x1, position: top-left and bottom-right corners, color: red

differences:
  cells_changed: 9
  colors_changed: Gray and blue pixels are replaced with white, and two red pixels appear in opposite corners.
transformation:
  - The input grid is reduced in size.
  - Two red pixels are placed in opposite corners of the output grid.
  - The remaining pixels are set to white.

The transformation in Example 3 is again a size reduction. The placement of the red pixels is different; they are now in opposite corners. The natural language program is becoming more complex. A possible description could be: “Reduce the grid size; place red pixels in the top-left and bottom-right corners; fill remaining cells with white.” The relationship between the input and the placement of the red pixels requires further investigation.

time
response time	total elapsed
5.65	20.857

usage
token type	call count	total used
Prompt	4865	10545
Response	745	2148
Total	5610	12693
Cached	0	0