002 • Response

puzzle_id:: 4-0d3d703e
description:: example_2
timestamp:: 24.329.064813
call_count:: 2
model:: models/gemini-1.5-flash-002

The input grid is a 3x3 grid containing three colors: red (2), green (3), and azure (8), each occupying a column. The output grid is also a 3x3 grid, but the colors have changed. Red (2) has become magenta (6), green (3) has become yellow (4), and azure (8) has become maroon (9). The transformation appears to be a non-sequential mapping of input colors to output colors, unlike the first example.

code_execution:

import numpy as np

input_grid = np.array([[2, 3, 8],
                     [2, 3, 8],
                     [2, 3, 8]])

output_grid = np.array([[6, 4, 9],
                      [6, 4, 9],
                      [6, 4, 9]])

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

#Attempting a color mapping
color_map = {2:6, 3:4, 8:9}
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:
 [[2 3 8]
 [2 3 8]
 [2 3 8]]

Output Grid:
 [[6 4 9]
 [6 4 9]
 [6 4 9]]

Transformed Grid (color mapping):
 [[6 4 9]
 [6 4 9]
 [6 4 9]]

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:
    - 2: 3
    - 3: 3
    - 8: 3
  objects:
    - size: 3x1, position: (0,0), color: red
    - size: 3x1, position: (0,1), color: green
    - size: 3x1, position: (0,2), color: azure

output:
  width: 3
  height: 3
  colors:
    - 6: 3
    - 4: 3
    - 9: 3
  objects:
    - size: 3x1, position: (0,0), color: magenta
    - size: 3x1, position: (0,1), color: yellow
    - size: 3x1, position: (0,2), color: maroon

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

transformation:
  - A color mapping is applied.  Red (2) maps to magenta (6), green (3) maps to yellow (4), and azure (8) maps to maroon (9).  This is a non-sequential mapping.

The code confirms that a direct color mapping is the transformation rule. Each input color is replaced with a specific output color according to a predefined mapping. There is no arithmetic or sequential relationship between the input and output values.

time
response time	total elapsed
8.787	18.693

usage
token type	call count	total used
Prompt	3649	5805
Response	868	1743
Total	4517	7548
Cached	0	0