006 • Response

puzzle_id:

4-0d3d703e

description:

test input

timestamp:

24.356.195518

call_count:

6

model:

gemini-2.0-flash-thinking-exp-1219

The user wants me to predict the output for the test input based on the derived color mapping.

Plan:

1. Analyze the test input grid.

2. Apply the color mapping to each pixel.

3. Construct the predicted output grid.

4. Use code execution to verify the prediction.

The test input grid is a 3x3 grid. The first column is azure (8), the second column is blue (1), and the third column is green (3).

Using the derived color mapping:

• Azure (8) maps to Maroon (9)

• Blue (1) maps to Gray (5)

• Green (3) maps to Yellow (4)

Therefore, the predicted output grid should have:

• First column: Maroon (9)

• Second column: Gray (5)

• Third column: Yellow (4)

Test Phase

The test input grid is a 3x3 grid with the following colors: the first column is azure (8), the second column is blue (1), and the third column is green (3).

Based on the derived natural language description of the transformation rule, we apply the color mapping to each pixel in the input grid:

• If the input pixel is azure (8), the output pixel should be maroon (9).

• If the input pixel is blue (1), the output pixel should be gray (5).

• If the input pixel is green (3), the output pixel should be yellow (4).

Applying this mapping to the test input grid:

[[8 1 3]
 [8 1 3]
 [8 1 3]]

becomes:

[[9 5 4]
 [9 5 4]
 [9 5 4]]

def apply_transformation(input_grid, color_map):
    output_grid = [[0 for _ in row] for row in input_grid]
    for r in range(len(input_grid)):
        for c in range(len(input_grid[0])):
            input_color = input_grid[r][c]
            output_grid[r][c] = color_map[input_color]
    return output_grid

color_map = {
    3: 4,  # green to yellow
    1: 5,  # blue to gray
    2: 6,  # red to magenta
    8: 9,  # azure to maroon
    5: 1,  # gray to blue
    6: 2,  # magenta to red
    9: 8,  # maroon to azure
    4: 3   # yellow to green
}

test_input = [[8, 1, 3], [8, 1, 3], [8, 1, 3]]
predicted_output = apply_transformation(test_input, color_map)
print(predicted_output)

time

response time	total elapsed
6.656	63.061

usage

token type	call count	total used
Prompt	11189	41413
Response	649	7489
Total	11838	48902
Cached	0	0

See also

• 006 • History

• 006 • Response