001 • Response

puzzle_id:: 5-150deff5
description:: example_1
timestamp:: 24.356.195518
call_count:: 1
model:: gemini-2.0-flash-thinking-exp-1219

The user wants me to analyze an input-output pair of grids in an ARC task. I need to describe the grids, identify the differences between them, and formulate a natural language program for the transformation.

Plan:

Describe the input grid.
Describe the output grid.
Identify the differences between the input and output grids.
Hypothesize the transformation rule based on the differences.
Formulate a natural language program.

Execution:

Input Grid Analysis:

The input grid has dimensions 9x11.
It contains gray (5) and white (0) pixels.
There is a central gray object resembling a stylized “H”.

Output Grid Analysis:

The output grid has the same dimensions, 9x11.
It contains azure (8), red (2), and white (0) pixels.
The central object has changed colors. The outer pixels of the original gray object are now azure, and the inner pixels are now red.

Differences:

The gray pixels in the input have been transformed into azure and red in the output.
The shape of the object remains the same.

Hypothesized Transformation:

The transformation involves recoloring the connected component of gray pixels. The outermost layer of the gray object is colored azure, and the interior of that object is colored red.

Okay, let’s analyze the first example.

The input grid shows a gray shape on a white background. The output grid shows a similar shape, but with different colors.

input:
  width: 11
  height: 9
  colors:
    0: 74
    5: 25
  objects:
    - color: gray
      shape: H-like
      pixels: 25
      positions: Determined by the coordinates of the gray pixels

output:
  width: 11
  height: 9
  colors:
    0: 74
    8: 12
    2: 13
  objects:
    - color: azure
      shape: outer boundary of the original gray shape
      pixels: 12
      positions: Determined by the coordinates of the azure pixels
    - color: red
      shape: inner part of the original gray shape
      pixels: 13
      positions: Determined by the coordinates of the red pixels

differences:
  cells_changed: 25
  colors_changed: gray to azure and red
  transformation:
    - Identify the connected component of gray pixels.
    - Change the color of the outermost layer of this component to azure.
    - Change the color of the inner part of this component to red.

Natural Language Program:

Identify the contiguous block of gray pixels in the input grid.
Create an output grid identical to the input grid.
Identify the pixels that form the outer boundary of the gray object. These are the gray pixels that have at least one neighboring pixel (horizontally or vertically) that is white.
Change the color of these boundary pixels in the output grid to azure.
Identify the remaining gray pixels within the boundary of the original gray object.
Change the color of these remaining pixels in the output grid to red.

time
response time	total elapsed
7.214	7.319

usage
token type	call count	total used
Prompt	2968	2968
Response	749	749
Total	3717	3717
Cached	0	0