arc-prompt/prompts/correct/8ee62060-1.md

gpt4 August 3 version

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You answer questions about the logic puzzles.

Use the below article on a logic puzzle to answer the subsequent question. If the answer cannot be found, write "I don't know."

Focus on the MISSING, this is what I want you to fill in.

Grids

• The input and output dictionaries contain key-value pairs.
• The key is the group number, starting with 0 and is incremented for each group.
• The value is a string that represent a 2D grid.
• The first two fields of the string specify the grid width and height. Example: width30,height19 specifies a grid with 30 columns and 19 rows.
• The remaining part of the string is a one-dimensional representation of a 2D grid.

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input = {}
output = {}
# Group0
input[0] = 'width12,height12,800000000000,220000000000,008000000000,002200000000,000080000000,000022000000,000000800000,000000220000,000000008000,000000002200,000000000080,000000000022'
output[0] = 'width12,height12,000000000080,000000000022,000000008000,000000002200,000000800000,000000220000,000080000000,000022000000,008000000000,002200000000,800000000000,220000000000'
# Group1
input[1] = 'width12,height12,000000000022,000000000032,000000002200,000000003200,000000220000,000000320000,000022000000,000032000000,002200000000,003200000000,220000000000,320000000000'
output[1] = 'width12,height12,220000000000,320000000000,002200000000,003200000000,000022000000,000032000000,000000220000,000000320000,000000002200,000000003200,000000000022,000000000032'
# Group2
input[2] = 'width10,height10,2100000000,1000000000,0021000000,0010000000,0000210000,0000100000,0000002100,0000001000,0000000021,0000000010'
output[2] = 'width10,height10,0000000021,0000000010,0000002100,0000001000,0000210000,0000100000,0021000000,0010000000,2100000000,1000000000'
# Group3
input[3] = 'width14,height14,00000000000018,00000000000081,00000000001800,00000000008100,00000000180000,00000000810000,00000018000000,00000081000000,00001800000000,00008100000000,00180000000000,00810000000000,18000000000000,81000000000000'
output[3] = 'MISSING'

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Question: Write 10 bullet points with observations about input and output. Don't repeat text from the prompt that is already well specified.

Question: Fill in the MISSING piece into this python code block.

output[3] = 'MISSING'

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Observations:

1. The input and output grid sizes are the same for each group. This means that the transformation from input to output doesn't change the dimensions of the grid.

2. The numbers in the grids appear to move in a pattern towards the bottom right corner in the output, based on the input grid for each group.

3. The first non-zero number in the input of each group appears at the bottom-right corner in the corresponding output.

4. The second non-zero number in the input of each group appears at one row above and one column to the left of its position in the output, relative to the first non-zero number.

5. This pattern of shifting up and to the left continues for all non-zero numbers in the input grid, mapping them to new locations in the output grid.

6. Zeros in the input grid seem to fill in the space left after the non-zero numbers have been relocated in the output.

7. The non-zero numbers maintain their relative orientation to each other. That is, if a number is above and to the right of another number in the input, it will be above and to the right of that number in the output.

8. Each group has a unique set of non-zero numbers, but the transformation rule appears to be consistent across groups.

9. All numbers are moved, including both digits in double-digit numbers (e.g., 18 and 81 in Group3), based on the observed pattern.

10. No new numbers are introduced in the output grids; all numbers from the input are present in the output, just rearranged.

Filling in the MISSING Piece:

Based on the observations and patterns identified, the MISSING piece for output[3] would involve rotating the numbers in input[3] such that the first non-zero number (18) would end up at the bottom-right corner, and the second non-zero number (81) would end up one row above and one column to the left of the first number. The pattern continues for the remaining non-zero numbers.

output[3] = 'width14,height14,18000000000000,81000000000000,00180000000000,00810000000000,00001800000000,00008100000000,00000018000000,00000081000000,00000000180000,00000000810000,00000000001800,00000000008100,00000000000018,00000000000081'