gpt4 August 3 version
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.
Article start marker
input = {}
output = {}
# Group0
input[0] = 'width25,height25,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254521254521,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254500254521,1111111100000111100111111,1250000200000254500254521,1550000500000551500551551,1410000400000414141414141,1551551500000551551551551,1254521254520000021254521,1111111111110000011111111,1254521254520000021254521,1550001551550000051551551,1410001414140000041414141,1551551551550000051551551,1254521254521254521254521,1111111111111111111111111'
output[0] = 'width25,height25,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254521254521,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254521254521,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254521254521,1111111111111111111111111,1254521254521254521254521,1551551551551551551551551,1414141414141414141414141,1551551551551551551551551,1254521254521254521254521,1111111111111111111111111'
# Group1
input[1] = 'width25,height25,1111111111111111111111111,1235532123500002355321235,1523325152300005233251523,1352253135200003522531352,1352253135200003522531352,1523325152300005233251523,1235532123500002355321235,1111111111111111111111111,1235532123553212355321235,1523325152332515233251523,1352253135225313522531352,1352253135225313522531352,1523000152332515233251523,1235000123553212355321235,1111000111111100111111111,1235000123553200355321235,1520000152332515233251523,1350000135225313522531352,1350000135225313522531352,1520000150000515233251523,1230000120000212355321235,1111111110000111111111111,1235532120000212355321235,1523325150000515233251523,1352253135225313522531352'
output[1] = 'width25,height25,1111111111111111111111111,1235532123553212355321235,1523325152332515233251523,1352253135225313522531352,1352253135225313522531352,1523325152332515233251523,1235532123553212355321235,1111111111111111111111111,1235532123553212355321235,1523325152332515233251523,1352253135225313522531352,1352253135225313522531352,1523325152332515233251523,1235532123553212355321235,1111111111111111111111111,1235532123553212355321235,1523325152332515233251523,1352253135225313522531352,1352253135225313522531352,1523325152332515233251523,1235532123553212355321235,1111111111111111111111111,1235532123553212355321235,1523325152332515233251523,1352253135225313522531352'
# Group2
input[2] = 'width25,height25,1111111111111111111111111,1212121212121212121000021,1515151515151515151000051,1212121212121212120000021,1111111111111111000000011,1212121212121212000000021,1515151515151515000000151,1212121212121212000212121,1111111111111111000111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515001515151515151515151,1212001212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1000111111111111111111111,1000121212121212121212121,1000151515151515151515151,1212121212121212121212121,1111111111111111111111111'
output[2] = 'width25,height25,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111,1212121212121212121212121,1515151515151515151515151,1212121212121212121212121,1111111111111111111111111'
# Group3
input[3] = 'width25,height25,1111111111111111111111111,1281551821281551821281551,1521881251521881251521881,1111111111111111111111111,1851221581851221581851221,1851221581851221581851221,1111111111111111111111111,1521881251521881251521881,1281550000281551821281551,1111110000111111111111111,1281550000281551821281551,1521880000521881251521881,1111110000001111111111111,1851200000001221581851001,1851200000851221581851001,1111100000111111111111001,1521881251500001251521001,1281551821200001821281001,1111111111100001111111001,1281551821200001821281551,1521881251500001251521881,1111111111111111111111111,1851221581851221581851221,1851221581851221581851221,1111111111111111111111111'
output[3] = 'MISSING'
Article end marker
Question: Write 10 bullet points with observations about input and output.
Question: Fill in the MISSING piece in the code.
Observations About Input and Output
Each input and output string represents a grid of numbers that is 25 cells wide and 25 cells high.
The strings start with 'width25,height25,' to specify the dimensions of the grid, followed by the grid values themselves.
The patterns of numbers in each input and output grid seem to have a level of symmetry, specifically rotational symmetry around the central cell.
The grids appear to be constructed using different sets of numbers. For example, Group0 uses numbers 1, 2, 4, 5; Group1 uses numbers 1, 2, 3, 5; Group2 uses numbers 1, 2, 5; and Group3 uses numbers 1, 2, 5, 8.
For each group, the output seems to be a "repaired" or "completed" version of the input. The missing cells in the input (indicated by zeros) are filled in to create a symmetrical pattern in the output.
The zeros in the input are always contiguous and form a roughly square or rectangular shape. They seem to interrupt an otherwise symmetrical pattern.
In the output, the zeros are replaced to complete the pattern. This makes the pattern in the output grid rotationally symmetrical around the center point of the grid.
Each group (Group0, Group1, Group2, Group3) seems to maintain a unique pattern that is not found in the other groups.
In the output, the dimensions of the grid ('width25,height25,') remain unchanged from the input.
Group3's output is marked as
MISSING, indicating that it is the one we need to solve.
Filling in the MISSING Piece in the Code
To fill in the missing piece in Group3, we need to make the pattern rotationally symmetrical by filling in the zeros. Using the pattern observed in the rest of the input grid, the output would be:
output[3] = 'width25,height25,1111111111111111111111111,1281551821281551821281551,1521881251521881251521881,1111111111111111111111111,1851221581851221581851221,1851221581851221581851221,1111111111111111111111111,1521881251521881251521881,1281551821281551821281551,1111111111111111111111111,1281551821281551821281551,1521881251521881251521881,1111111111111111111111111,1851221581851221581851221,1851221581851221581851221,1111111111111111111111111,1521881251521881251521881,1281551821281551821281551,1111111111111111111111111,1281551821281551821281551,1521881251521881251521881,1111111111111111111111111,1851221581851221581851221,1851221581851221581851221,1111111111111111111111111'