003 • Response

puzzle_id:: 4-0d3d703e
description:: example_3
timestamp:: 24.329.064813
call_count:: 3
model:: models/gemini-1.5-flash-002

The input grid is a 3x3 grid consisting of gray (5), azure (8), and magenta (6) each in a column. The output grid is also a 3x3 grid, but now contains blue (1), maroon (9), and red (2) in the same respective columns. The transformation again seems to be a color mapping, but a different one than in example 2.

code_execution:

import numpy as np

input_grid = np.array([[5, 8, 6],
                     [5, 8, 6],
                     [5, 8, 6]])

output_grid = np.array([[1, 9, 2],
                      [1, 9, 2],
                      [1, 9, 2]])

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

#Attempting a color mapping
color_map = {5:1, 8:9, 6:2}
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:
 [[5 8 6]
 [5 8 6]
 [5 8 6]]

Output Grid:
 [[1 9 2]
 [1 9 2]
 [1 9 2]]

Transformed Grid (color mapping):
 [[1 9 2]
 [1 9 2]
 [1 9 2]]

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:
    - 5: 3
    - 8: 3
    - 6: 3
  objects:
    - size: 3x1, position: (0,0), color: gray
    - size: 3x1, position: (0,1), color: azure
    - size: 3x1, position: (0,2), color: magenta

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

differences:
  cells_changed: 9
  colors_changed: All colors are changed. Gray becomes blue, azure becomes maroon, and magenta becomes red.

transformation:
  - A color mapping is applied. Gray (5) maps to blue (1), azure (8) maps to maroon (9), and magenta (6) maps to red (2).

The code confirms a color mapping is in operation; however, a different mapping than in example 2 is used for this example. There’s no consistent arithmetic or sequential pattern across the mappings. Each example appears to have a unique color mapping.

time
response time	total elapsed
6.001	24.77

usage
token type	call count	total used
Prompt	5135	10940
Response	866	2609
Total	6001	13549
Cached	0	0