005 • Response

puzzle_id:

6-0520fde7

description:

test input

timestamp:

24.357.081407

call_count:

5

model:

gemini-2.0-flash-thinking-exp-1219

The user wants me to generate the output grid for the test input based on the learned natural language program.

Natural Language Program:

  1. Identify the Central Column: Locate the central column of the input grid (column index 3). This column is characterized by a vertical sequence of gray (5) pixels.

  2. Initialize Output Grid: Create a 3x3 output grid and fill all its cells with white (0) pixels.

  3. Iterate Through Rows: Process each row of the input grid and the corresponding row of the output grid from top to bottom.

  4. Examine Central Pixels: For the current row in the input grid, examine the colors of three specific pixels:

    • The pixel immediately to the left of the central gray column (column index 2).

    • The pixel in the central gray column (column index 3).

    • The pixel immediately to the right of the central gray column (column index 4).

  5. Apply Color Transformation Rules: Based on the colors of these three input pixels, determine the colors of the pixels in the corresponding row of the output grid:

    • If the pixel to the left of the central gray column in the input is blue (1), change the color of the leftmost pixel in the current row of the output grid to red (2).

    • If the pixel in the central gray column in the input is gray (5), change the color of the center pixel in the current row of the output grid to red (2).

    • If the pixel to the right of the central gray column in the input is blue (1), change the color of the rightmost pixel in the current row of the output grid to red (2).

  6. Maintain White Pixels: If none of the conditions in step 5 are met for a particular output pixel, it remains white (0).

Applying the program to the test input:

Input grid:

[[1 0 1 5 1 0 1]
 [0 1 0 5 1 0 1]
 [1 0 1 5 0 1 0]]

Output grid (initialized to all zeros):

[[0, 0, 0],
 [0, 0, 0],
 [0, 0, 0]]

Row 0:

  • Left of central gray (input[0, 2]): 1 (blue) -> output[0, 0] = 2 (red)

  • Central gray (input[0, 3]): 5 (gray) -> output[0, 1] = 2 (red)

  • Right of central gray (input[0, 4]): 1 (blue) -> output[0, 2] = 2 (red)

Row 1:

  • Left of central gray (input[1, 2]): 0 (white)

  • Central gray (input[1, 3]): 5 (gray) -> output[1, 1] = 2 (red)

  • Right of central gray (input[1, 4]): 1 (blue) -> output[1, 2] = 2 (red)

Row 2:

  • Left of central gray (input[2, 2]): 1 (blue) -> output[2, 0] = 2 (red)

  • Central gray (input[2, 3]): 5 (gray) -> output[2, 1] = 2 (red)

  • Right of central gray (input[2, 4]): 0 (white)

Final Output Grid:

[[2, 2, 2],
 [0, 2, 2],
 [2, 2, 0]]

Let’s verify this with code execution.

[[2, 2, 2],
 [0, 2, 2],
 [2, 2, 0]]
time

response time

total elapsed

7.4

78.863
usage

token type

call count

total used

Prompt

12603

35839

Response

869

10233

Total

13472

46072

Cached

0

0

See also