004 • Response

puzzle_id:: 4-0d3d703e
description:: example_4
timestamp:: 24.329.064813
call_count:: 4
model:: models/gemini-1.5-flash-002

The input grid is a 3x3 grid with maroon (9), yellow (4), and red (2) each occupying a column. The output grid is also a 3x3 grid, but the colors have changed. Maroon (9) is now azure (8), yellow (4) is now green (3), and red (2) is now magenta (6). This again appears to be a color mapping, but different from the previous examples.

code_execution:

import numpy as np

input_grid = np.array([[9, 4, 2],
                     [9, 4, 2],
                     [9, 4, 2]])

output_grid = np.array([[8, 3, 6],
                      [8, 3, 6],
                      [8, 3, 6]])

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

#Attempting a color mapping
color_map = {9:8, 4:3, 2:6}
transformed_grid = np.zeros_like(input_grid)

for i in range(input_grid.shape[0]):
    for j in range(input_grid.shape[1]):
        transformed_grid[i,j] = color_map[input_grid[i,j]]

print("\nTransformed Grid (color mapping):\n", transformed_grid)

comparison = np.equal(transformed_grid, output_grid)
print("\nComparison (Transformed Grid == Output Grid):\n", comparison)
all_equal = np.all(comparison)
print(f"\nAre all values equal? {all_equal}")

code_execution_result: 1

Input Grid:
 [[9 4 2]
 [9 4 2]
 [9 4 2]]

Output Grid:
 [[8 3 6]
 [8 3 6]
 [8 3 6]]

Transformed Grid (color mapping):
 [[8 3 6]
 [8 3 6]
 [8 3 6]]

Comparison (Transformed Grid == Output Grid):
 [[ True  True  True]
 [ True  True  True]
 [ True  True  True]]

Are all values equal? True

input:
  width: 3
  height: 3
  colors:
    - 9: 3
    - 4: 3
    - 2: 3
  objects:
    - size: 3x1, position: (0,0), color: maroon
    - size: 3x1, position: (0,1), color: yellow
    - size: 3x1, position: (0,2), color: red

output:
  width: 3
  height: 3
  colors:
    - 8: 3
    - 3: 3
    - 6: 3
  objects:
    - size: 3x1, position: (0,0), color: azure
    - size: 3x1, position: (0,1), color: green
    - size: 3x1, position: (0,2), color: magenta

differences:
  cells_changed: 9
  colors_changed: All colors are changed. Maroon becomes azure, yellow becomes green, and red becomes magenta.

transformation:
  - A color mapping is applied. Maroon (9) maps to azure (8), yellow (4) maps to green (3), and red (2) maps to magenta (6).

The code confirms that a color mapping is the transformation rule. Each input color is replaced by a specific output color; however, the mapping is unique to this example, just as in previous examples. There’s no single, consistent mathematical or sequential rule across all four examples besides the application of a unique color mapping for each input grid.

time
response time	total elapsed
8.897	33.738

usage
token type	call count	total used
Prompt	6598	17538
Response	873	3482
Total	7471	21020
Cached	0	0