005 • Response

puzzle_id:: 4-0d3d703e
description:: example_summary
timestamp:: 24.329.064813
call_count:: 5
model:: models/gemini-1.5-flash-002

The transformation applied to each input grid involves a unique color mapping. There’s no consistent arithmetic operation or sequential pattern across the examples. Each input grid is transformed by a different mapping that replaces each color with a specific, new color. The mapping is not based on any discernible numerical relationship between the input and output color values.

code_execution:

import numpy as np

# Example mappings from the examples above
mappings = {
    1: {1: 5, 2: 6, 3: 4},  # Example 1
    2: {2: 6, 3: 4, 8: 9},  # Example 2
    3: {5: 1, 6: 2, 8: 9},  # Example 3
    4: {2: 6, 4: 3, 9: 8}   # Example 4
}

def apply_mapping(input_grid, mapping):
    transformed_grid = np.zeros_like(input_grid)
    for i in range(input_grid.shape[0]):
        for j in range(input_grid.shape[1]):
            transformed_grid[i, j] = mapping.get(input_grid[i, j], input_grid[i, j]) #Handle cases where a color isn't in the mapping
    return transformed_grid

# Test the function on the input grids from example 1-4
example_inputs = [
    np.array([[3, 1, 2], [3, 1, 2], [3, 1, 2]]),
    np.array([[2, 3, 8], [2, 3, 8], [2, 3, 8]]),
    np.array([[5, 8, 6], [5, 8, 6], [5, 8, 6]]),
    np.array([[9, 4, 2], [9, 4, 2], [9, 4, 2]])
]

example_outputs = [
    np.array([[4, 5, 6], [4, 5, 6], [4, 5, 6]]),
    np.array([[6, 4, 9], [6, 4, 9], [6, 4, 9]]),
    np.array([[1, 9, 2], [1, 9, 2], [1, 9, 2]]),
    np.array([[8, 3, 6], [8, 3, 6], [8, 3, 6]])
]

for i in range(len(example_inputs)):
    transformed = apply_mapping(example_inputs[i], mappings[i+1])
    comparison = np.equal(transformed, example_outputs[i])
    print(f"Example {i+1}: All values match output? {np.all(comparison)}")

code_execution_result:

Example 1: All values match output? True
Example 2: All values match output? True
Example 3: All values match output? True
Example 4: All values match output? True

The code confirms that each example can be solved with a unique color mapping. The absence of a generalizable numerical or sequential pattern across the mappings suggests that the puzzle requires memorizing or learning individual mappings rather than inferring a general rule. The challenge seems to be focused on pattern recognition of specific color associations.

time
response time	total elapsed
5.766	39.549

usage
token type	call count	total used
Prompt	7239	24777
Response	797	4279
Total	8036	29056
Cached	0	0