003 • Response

puzzle_id:: 3-1e0a9b12
description:: example_3
timestamp:: 24.329.064813
call_count:: 3
model:: models/gemini-1.5-flash-002

The input and output grids in all three examples show a consistent pattern: non-zero elements are moved to the bottom row of the output grid, maintaining their relative horizontal positions. The rest of the output grid is filled with zeros.

code_execution:

import numpy as np

# Example 1
input_grid_1 = np.array([[0, 4, 0, 9],
                     [0, 0, 0, 0],
                     [0, 4, 6, 0],
                     [1, 0, 0, 0]])
output_grid_1 = np.array([[0, 0, 0, 0],
                      [0, 0, 0, 0],
                      [0, 4, 0, 0],
                      [1, 4, 6, 9]])

# Example 2
input_grid_2 = np.array([[0, 0, 0, 0, 0, 9],
                     [0, 0, 0, 8, 0, 0],
                     [0, 0, 0, 0, 0, 0],
                     [4, 0, 0, 0, 0, 0],
                     [4, 0, 7, 8, 0, 0],
                     [4, 0, 7, 0, 0, 0]])
output_grid_2 = np.array([[0, 0, 0, 0, 0, 0],
                      [0, 0, 0, 0, 0, 0],
                      [0, 0, 0, 0, 0, 0],
                      [4, 0, 0, 0, 0, 0],
                      [4, 0, 7, 8, 0, 0],
                      [4, 0, 7, 8, 0, 9]])

# Example 3
input_grid_3 = np.array([[0, 0, 0, 1, 0],
                     [0, 3, 0, 0, 0],
                     [0, 3, 0, 1, 2],
                     [6, 0, 0, 0, 0],
                     [0, 3, 0, 0, 0]])
output_grid_3 = np.array([[0, 0, 0, 0, 0],
                      [0, 0, 0, 0, 0],
                      [0, 3, 0, 0, 0],
                      [0, 3, 0, 1, 0],
                      [6, 3, 0, 1, 2]])


def analyze_grid(input_grid, output_grid):
    input_nonzero = input_grid[np.nonzero(input_grid)]
    output_nonzero = output_grid[np.nonzero(output_grid)]
    print("Input Non-zero elements:", input_nonzero)
    print("Output Non-zero elements:", output_nonzero)
    print(f"Are non-zero elements the same? {np.array_equal(np.sort(input_nonzero), np.sort(output_nonzero))}")
    print("-" * 20)

analyze_grid(input_grid_1, output_grid_1)
analyze_grid(input_grid_2, output_grid_2)
analyze_grid(input_grid_3, output_grid_3)

code_execution_result:

Input Non-zero elements: [4 9 4 6 1]
Output Non-zero elements: [1 4 6 9]
Are non-zero elements the same? True
--------------------
Input Non-zero elements: [9 8 4 4 7 8 4 7]
Output Non-zero elements: [4 4 7 8 4 7 8 9]
Are non-zero elements the same? True
--------------------
Input Non-zero elements: [1 3 3 1 2 6 3]
Output Non-zero elements: [3 3 1 2 6 1 3]
Are non-zero elements the same? True
--------------------

The natural language program for the transformation is:

“Move all non-zero elements from the input grid to the last row of the output grid, maintaining their relative horizontal order. Fill the remaining cells of the output grid with zeros.”

time
response time	total elapsed
7.89	32.467

usage
token type	call count	total used
Prompt	6095	12379
Response	1049	3528
Total	7144	15907
Cached	0	0