001 • Response

puzzle_id:: 6-0520fde7
description:: example_1
timestamp:: 24.329.071439
call_count:: 1
model:: models/gemini-exp-1114

The input grid appears to be a 3x7 rectangle with a central vertical stripe of 5s (gray) and various 1s (blue) and 0s (white) surrounding it. The output grid is a 3x3 square, which is much smaller, with a single 2 (red) in the center and 0s (white) everywhere else.

It seems the transformation involves significant size reduction and a change in the central element’s color and value, while the surrounding pixels are turned into 0s. The color change is from 5 (gray) to 2 (red), and the size change is from 3x7 to 3x3.

input:
  width: 7
  height: 3
  colors:
    - 0: 12
    - 1: 6
    - 5: 3
  objects:
    - central column of 5 (gray)
    - scattered 1 (blue)
    - background of 0 (white)

output:
  width: 3
  height: 3
  colors:
    - 0: 8
    - 2: 1
  objects:
    - single central 2 (red)
    - background of 0 (white)

differences:
  cells_changed: 20
  colors_changed: gray (5) to red (2), blue (1) to white (0)
transformation:
  - Reduce size from 3x7 to 3x3.
  - Change the central element's color from gray (5) to red (2).
  - Change all other elements to white (0).

Code Execution

code_execution:

import numpy as np

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

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

# Get input grid properties
input_height, input_width = input_grid.shape
input_colors, input_color_counts = np.unique(input_grid, return_counts=True)
input_color_map = dict(zip(input_colors, input_color_counts))

# Get output grid properties
output_height, output_width = output_grid.shape
output_colors, output_color_counts = np.unique(output_grid, return_counts=True)
output_color_map = dict(zip(output_colors, output_color_counts))

print("Input Grid Properties:")
print("Width:", input_width)
print("Height:", input_height)
print("Color Map:", input_color_map)
print("\nOutput Grid Properties:")
print("Width:", output_width)
print("Height:", output_height)
print("Color Map:", output_color_map)

print("\nChanges:")
print("Size change:", f"{input_height}x{input_width} to {output_height}x{output_width}")
print("Color changes:")
for color in input_colors:
    if color not in output_colors:
        print(f"  {color} removed")
for color in output_colors:
    if color not in input_colors:
        print(f"  {color} added")

code_execution_result: 1

Input Grid Properties:
Width: 7
Height: 3
Color Map: {np.int64(0): np.int64(11), np.int64(1): np.int64(7), np.int64(5): np.int64(3)}

Output Grid Properties:
Width: 3
Height: 3
Color Map: {np.int64(0): np.int64(8), np.int64(2): np.int64(1)}

Changes:
Size change: 3x7 to 3x3
Color changes:
  1 removed
  5 removed
  2 added

Analysis of Code Execution Results

The code execution confirms the observations about the size and color changes. The input grid has dimensions 3x7, while the output grid has dimensions 3x3. The colors in the input grid are 0 (white), 1 (blue), and 5 (gray), while the colors in the output grid are 0 (white) and 2 (red).

The changes are:

Size reduction from 3x7 to 3x3.
Color 1 (blue) is removed.
Color 5 (gray) is removed.
Color 2 (red) is added.

Natural Language Program

Transform the input grid by reducing its size to a 3x3 grid. Change the central column color, which is 5 (gray), to 2 (red) and place it in the center of the new grid. Fill all other cells of the new 3x3 grid with 0 (white).

time
response time	total elapsed
43.931	43.992

usage
token type	call count	total used
Prompt	2178	2178
Response	209	209
Total	2387	2387
Cached	0	0