002 • Response

puzzle_id:: 3-1e0a9b12
description:: example_2
timestamp:: 24.329.064813
call_count:: 2
model:: models/gemini-1.5-flash-002

The input grid is a 6x6 grid. The output grid is also a 6x6 grid. The non-zero values in the input grid are concentrated towards the bottom right. The output grid appears to have all the non-zero values from the input grid moved to the last row, maintaining their relative positions to each other.

code_execution:

import numpy as np

input_grid = 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 = 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]])

print("Input Grid:\n", input_grid)
print("\nOutput Grid:\n", output_grid)

input_nonzero = input_grid[np.nonzero(input_grid)]
output_nonzero = output_grid[np.nonzero(output_grid)]

print("\nInput Non-zero elements:\n", input_nonzero)
print("\nOutput Non-zero elements:\n", output_nonzero)

print(f"\nAre the non-zero elements the same? {np.array_equal(np.sort(input_nonzero), np.sort(output_nonzero))}")

last_row = output_grid[-1,:]
print(f"\nLast row of output grid: {last_row}")

code_execution_result: 1

Input Grid:
 [[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:
 [[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]]

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 the non-zero elements the same? True

Last row of output grid: [4 0 7 8 0 9]

input:
  width: 6
  height: 6
  colors:
    - 0: 26
    - 4: 3
    - 7: 2
    - 8: 2
    - 9: 1
  objects:
    - size: 1x1, position: (0,5), color: maroon
    - size: 1x1, position: (1,3), color: azure
    - size: 1x1, position: (3,0), color: yellow
    - size: 1x1, position: (4,0), color: yellow
    - size: 1x1, position: (4,2), color: orange
    - size: 1x1, position: (4,3), color: azure
    - size: 1x1, position: (5,0), color: yellow
    - size: 1x1, position: (5,2), color: orange

output:
  width: 6
  height: 6
  colors:
    - 0: 26
    - 4: 3
    - 7: 2
    - 8: 2
    - 9: 1
  objects:
    - size: 1x1, position: (3,0), color: yellow
    - size: 1x1, position: (4,0), color: yellow
    - size: 1x1, position: (4,2), color: orange
    - size: 1x1, position: (4,3), color: azure
    - size: 1x1, position: (5,0), color: yellow
    - size: 1x1, position: (5,2), color: orange
    - size: 1x1, position: (5,3), color: azure
    - size: 1x1, position: (5,5), color: maroon

differences:
  cells_changed: 8
  colors_changed: Non-zero values moved to the last row, maintaining their relative positions. The rest are set to zero.
transformation:
  - Move all non-zero elements to the last row, preserving their order relative to each other.

The code confirms that the non-zero elements in the input and output grids are the same. The transformation is to move all non-zero elements to the last row while preserving their relative order. The YAML accurately reflects this.

time
response time	total elapsed
12.943	24.488

usage
token type	call count	total used
Prompt	4096	6284
Response	1309	2479
Total	5405	8763
Cached	0	0