005 • Response

puzzle_id:

2-0ca9ddb6

description:

test input

timestamp:

24.356.195518

call_count:

5

model:

gemini-2.0-flash-thinking-exp-1219

The user wants me to predict the output grid for the given test input based on the derived natural language program.

Natural Language Program:

The transformation process takes an input grid and generates an output grid based on the colors of specific pixels in the input.

To produce the output grid:

  1. Start by creating a copy of the input grid as the initial output grid.

  2. Examine each pixel in the input grid.

  3. If a pixel in the input grid is red (color value 2):

    1. Identify all the immediately adjacent pixels (horizontally, vertically, and diagonally) in the output grid.

    2. For each adjacent pixel in the output grid, if its current color is white (color value 0), change its color to yellow (color value 4).

  4. If a pixel in the input grid is blue (color value 1):

    1. Identify all the immediately adjacent pixels (horizontally, vertically, and diagonally) in the output grid.

    2. For each adjacent pixel in the output grid, if its current color is white (color value 0), change its color to orange (color value 7).

  5. Pixels of other colors in the input grid (such as magenta with color value 6 and azure with color value 8) do not trigger any changes in the adjacent white pixels of the output grid.

  6. The original positions and colors of the red, blue, magenta and azure pixels from the input grid are preserved in the output grid.

Test Input Analysis:

The test input grid contains:

  • A blue pixel at (2, 6).

  • A red pixel at (3, 2).

  • An azure pixel at (5, 5).

  • A magenta pixel at (7, 1).

  • A red pixel at (7, 7).

Based on the natural language program:

  • The blue pixel at (2, 6) will cause adjacent white pixels to become orange.

  • The red pixel at (3, 2) will cause adjacent white pixels to become yellow.

  • The red pixel at (7, 7) will cause adjacent white pixels to become yellow.

  • The azure and magenta pixels will not cause any changes to adjacent white pixels.

Let’s manually apply the transformation.

[[0, 0, 0, 0, 0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0, 7, 7, 7, 0],
 [0, 0, 0, 4, 0, 7, 1, 7, 0],
 [0, 0, 2, 4, 0, 7, 7, 7, 0],
 [0, 0, 0, 4, 0, 0, 0, 0, 0],
 [0, 0, 0, 0, 0, 8, 0, 0, 0],
 [0, 4, 0, 0, 0, 0, 4, 0, 4],
 [0, 6, 4, 0, 0, 0, 4, 2, 4],
 [0, 4, 0, 0, 0, 0, 4, 4, 4]]
time

response time

total elapsed

7.382

96.69
usage

token type

call count

total used

Prompt

16375

49753

Response

743

12235

Total

17118

61988

Cached

0

0

See also