arc-prompt/prompts/correct/4aab4007-1.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] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143215724613572461357246135,1142357246000000613572461357,1141572461000000135724613572,1145724613000000357246135724,1147246135000000572461357246,1142461357246135724613572461,1144613572461357240000024613,1146135724613572460000046135,1141357246135724610000061357,1143572461357246130000013572,1145724613572461350000035724,1147000135724613570000057246,1142000357246135724613572461,1144000000461357246135724613,1146000000613572461357246135,1141000000135724613572461357,1143000000357246135724613572,1145000000000461357246135724,1147246000000613572461357246,1142461000000135724613572461,1144613000000357246135724613,1146135000000572461357246135,1141357000000724613572461357,1143572461357246135724613572,1145724613572461357246135724'
output[0] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143215724613572461357246135,1142357246135724613572461357,1141572461357246135724613572,1145724613572461357246135724,1147246135724613572461357246,1142461357246135724613572461,1144613572461357246135724613,1146135724613572461357246135,1141357246135724613572461357,1143572461357246135724613572,1145724613572461357246135724,1147246135724613572461357246,1142461357246135724613572461,1144613572461357246135724613,1146135724613572461357246135,1141357246135724613572461357,1143572461357246135724613572,1145724613572461357246135724,1147246135724613572461357246,1142461357246135724613572461,1144613572461357246135724613,1146135724613572461357246135,1141357246135724613572461357,1143572461357246135724613572,1145724613572461357246135724'
# Group1
input[1] = 'width28,height28,1111111111111111111111111111,1111111111100000011111111111,1144444444400000044444444444,1143213570000000003571357135,1142135710000000005713571357,1141357130000000007135713571,1143571350000003001357135713,1145713570000005713571357135,1147135710000057135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147130000571357135713571357,1141350000713571357135713571,1143570000135713571357135713,1145710000357135713571357135,1147130000571357135713571357,1141350000713571357135713571,1143571357135713571357135713,1145713571357135713571357135'
output[1] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143213571357135713571357135,1142135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135,1147135713571357135713571357,1141357135713571357135713571,1143571357135713571357135713,1145713571357135713571357135'
# Group2
input[2] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143211357924681357924681357,1142813579246813579246813579,1141135792468135792468135792,1141357920000000000081357924,1000000040000000000013579246,1000000060000000000035792468,1000000081357900000057924681,1000000013579246000079246813,1000000035792468135792468135,1144681357924681357924681357,1146813579246813579246813579,1148135792468135792468135792,1141357000000057924681357924,1143579000000079246813579246,1145792000000092468135792468,1147924681357924681357924681,1149246813579246813579246813,1142468135792468135792468135,1144681357924681357924681357,1146813579246813579246813579,1148135792468135792468135792,1141357924681357924681357924,1143579246813579246813579246,1145792468135792468135792468,1147924681357924681357924681'
output[2] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143211357924681357924681357,1142813579246813579246813579,1141135792468135792468135792,1141357924681357924681357924,1143579246813579246813579246,1145792468135792468135792468,1147924681357924681357924681,1149246813579246813579246813,1142468135792468135792468135,1144681357924681357924681357,1146813579246813579246813579,1148135792468135792468135792,1141357924681357924681357924,1143579246813579246813579246,1145792468135792468135792468,1147924681357924681357924681,1149246813579246813579246813,1142468135792468135792468135,1144681357924681357924681357,1146813579246813579246813579,1148135792468135792468135792,1141357924681357924681357924,1143579246813579246813579246,1145792468135792468135792468,1147924681357924681357924681'
# Group3
input[3] = 'width28,height28,1111111111111111111111111111,1111111111100000001111111111,1144444444400000004444444444,1143219135700000003579135791,1142791357900000005791357913,1141913579100000007913579135,1149135791357000079135791357,1141357913579000091357913579,1143579135791357913579135791,1000791357913579135791357913,1000913579135791357913579135,0000035791357913579135791357,0000057913579135791357913579,0000079135791357913579135791,0000091350000000135791357913,0000013570000000357913579135,0000035790000000579135791357,0000057910000000791357913579,1143579130000000913579135791,1145791350000000135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579,1143579135791357913579135791,1145791357913579135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579'
output[3] = 'MISSING'

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

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

output[3] = 'MISSING'

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Observations about input and output:

1. Each input string starts with width28,height28, followed by a sequence of numbers that represent the 28x28 grid.

2. The output string for each group also starts with width28,height28, followed by the updated sequence of numbers representing the grid.

3. The initial cells in each grid are either filled with '1', '4', or digits that seem to form a sequence of some kind.

4. The '1' and '4' cells appear to form the boundary of the grid, both in the input and the output.

5. The series of numbers other than '1' and '4' in each row or column seem to be unique, forming patterns resembling numerical sequences.

6. The '4's seem to serve as boundaries for the sequences, as they consistently appear between the '1's and the start of any sequence.

7. In each group, the output sequence within the inner box (i.e., not the '1's or '4's) appears to be some form of 'correction' or 'completion' of the input sequence.

8. The output for Groups 0, 1, and 2 have been completely filled with numerical sequences; only Group 3 has a MISSING output.

9. Some input grids contain '0' cells that appear to serve as placeholders, and these '0' cells get filled with numbers in the output, completing the sequence.

10. The numbers that replace the '0' cells in the output seem to follow a repeating pattern evident in the rows and columns where they are present.

Filling in the MISSING piece:

Based on the above observations, it seems that the sequence of numbers in each row and column should repeat. Let's fill in the sequence according to the pattern in Group 3's input.

The sequences in Group 3 are '9135791357', '3579135791', and '5791357913'. These sequences appear to be repeating and are separated by '4's.

Here is the python code block filled with the missing output for Group 3:

output[3] = 'width28,height28,1111111111111111111111111111,1111111111111111111111111111,1144444444444444444444444444,1143219135791357913579135791,1142791357913579135791357913,1141913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579,1143579135791357913579135791,1145791357913579135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579,1143579135791357913579135791,1145791357913579135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579,1143579135791357913579135791,1145791357913579135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579,1143579135791357913579135791,1145791357913579135791357913,1147913579135791357913579135,1149135791357913579135791357,1141357913579135791357913579'