arc-prompt/prompts/correct/e98196ab-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.

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input = {}
output = {}
# Group0
input[0] = 'width11,height11,00000800000,00000000000,00080008000,00000000000,08000000080,55555555555,00000000000,00001010000,00000000000,00100000100,10000000001'
output[0] = 'width11,height5,00000800000,00001010000,00080008000,00100000100,18000000081'
# Group1
input[1] = 'width11,height11,03000300030,00000000000,00030000300,00000000000,03000000000,55555555555,00000000007,70000000700,00707000000,00000000000,70000070007'
output[1] = 'width11,height5,03000300037,70000000700,00737000300,00000000000,73000070007'
# Group2
input[2] = 'width11,height11,00000000000,01011010010,00000010000,00101001000,00000000001,55555555555,20000200002,00000000000,00000000000,00000000000,20002000200'
output[2] = 'width11,height5,20000200002,01011010010,00000010000,00101001000,20002000201'
# Group3
input[3] = 'width11,height11,00000000007,00770000700,00000070000,07070000007,00000070000,55555555555,60006060000,00000000006,60006000006,00000000060,60060000000'
output[3] = 'MISSING'

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Question: Write 10 bullet points with observations about input and output.

Question: Fill in the MISSING piece in the code.

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Observations:

1. The input and output for each group are both strings that contain information about the layout of numbers and their arrangement within a grid.

2. The first two fields in both the input and output specify the width and height of the grid.

3. The remaining fields in both input and output seem to represent rows of the grid.

4. The number 55555555555 appears in the middle row of every input and seems to serve as a dividing line between the top and bottom halves of the grid.

5. The output has a height of 5 rows and retains the original width from the input, which is 11.

6. The output seems to combine the top and bottom halves of the input grid around the divider 55555555555 by overlaying the two halves on each other.

7. The numbers from the top half of the grid in the input overlap with the numbers from the bottom half in the output.

8. When the numbers overlap, they are added together in the output. For example, in Group1, 3 from the top half and 7 from the bottom half become 10, represented as 37 in the output.

9. Zeroes in the input grid do not affect the numbers they overlap with from the other half of the input grid during the combination process to form the output.

10. The output retains the original width of the input but its height is reduced to 5 rows, essentially collapsing the information around the divider into a new, shorter grid.

Filling the MISSING piece in the code:

Based on the pattern of overlaying the top and bottom halves to generate the output, the MISSING piece for Group3 would be calculated as follows:

Top Half:
00000000007
00770000700
00000070000
07070000007
00000070000

Bottom Half:
60006060000
00000000006
60006000006
00000000060
60060000000

After overlaying and adding the corresponding numbers:

1. First row: 00000000007 + 60006060000 = 60006060007
2. Second row: 00770000700 + 00000000006 = 00770000706
3. Third row: 00000070000 + 60006000006 = 60006070006
4. Fourth row: 07070000007 + 00000000060 = 07070000067
5. Fifth row: 00000070000 + 60060000000 = 60060070000

The MISSING piece in the code, i.e., the output for Group3, would therefore be:

'width11,height5,60006060007,00770000706,60006070006,07070000067,60060070000'