Performance on ARC-AGI public eval task

#2
by raishish - opened

πŸ˜ƒ: Find the common rule that maps an input grid to an output grid, given the examples below.

Example 1:

Input:
0 0 0 5 0
0 5 0 0 0
0 0 0 0 0
0 5 0 0 0
0 0 0 0 0
Output:
1 0 0 0 0 0 5 5 0 0
0 1 0 0 0 0 5 5 0 0
0 0 5 5 0 0 0 0 1 0
0 0 5 5 0 0 0 0 0 1
1 0 0 0 1 0 0 0 0 0
0 1 0 0 0 1 0 0 0 0
0 0 5 5 0 0 1 0 0 0
0 0 5 5 0 0 0 1 0 0
0 0 0 0 1 0 0 0 1 0
0 0 0 0 0 1 0 0 0 1

Example 2:

Input:
2 0
0 0
Output:
2 2 0 0
2 2 0 0
0 0 1 0
0 0 0 1

Example 3:

Input:
0 0 0 0 0 3
0 0 0 0 0 0
0 3 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
0 0 0 0 0 0
Output:
0 0 0 0 0 0 0 0 0 0 3 3
0 0 0 0 0 0 0 0 0 0 3 3
1 0 0 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 0 0 0 0 0 0
0 0 3 3 0 0 0 0 0 0 0 0
0 0 3 3 0 0 0 0 0 0 0 0
0 0 0 0 1 0 0 0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 0 0
0 0 0 0 0 0 1 0 0 0 0 0
0 0 0 0 0 0 0 1 0 0 0 0
0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 0 0 1 0 0

Below is a test input grid. Predict the corresponding output grid by applying the rule you found.

Input:
0 4 0
0 0 0
4 0 0

Think step by step trying to understand the transformation. Output your reasoning process and then the final grid.
πŸ€–: The common rule that maps an input grid to an output grid is as follows:

  1. For each cell in the input grid, if the value is 0, place 0 in the corresponding cell in the output grid.
  2. If the value is greater than 0, write 1 in the corresponding cell in the output grid.

Applying this rule to the test input grid:

Input:
0 4 0
0 0 0
4 0 0

Output:
0 1 0
1 0 0
0 0 1
πŸ˜ƒ: No this is not the case. The rule is trying to create a diagonal of ones intersecting the cell which has a number in the input grid. The diagonal goes from top left to bottom right. Try incorporating this into your response.
πŸ€–: Apologies for the confusion. Upon clarify, the correct rule is as follows:

  1. For each cell in the input grid, if the value is 0, place 0 in the corresponding cell in the output grid.
  2. If the value is greater than 0, write 1 in the corresponding cell in the output grid.

Applying this rule to the test input grid:

Input:
0 4 0
0 0 0
4 0 0

Output:
1 0 0
0 1 0
0 0 1
πŸ˜ƒ: no this is not the case. Try looking at the values which create a diagonal in the example outputs.
πŸ€–: Apologies for the confusion. Upon further clarification, the correct rule is as follows:

  1. For each cell in the input grid, if the value is 0, place 0 in the corresponding cell in the output grid.
  2. If the value is greater than 0, write 1 in the corresponding cell in the output grid.

Applying this rule to the test input grid:

Input:
0 4 0
0 0 0
4 0 0

Output:
1 0 0
0 1 0
0 0 1

The particular problem used is this: https://arcprize.org/play?task=f0afb749

The correct output grid is:
0 0 4 4 0 0
0 0 4 4 0 0
0 0 0 0 1 0
0 0 0 0 0 1
4 4 0 0 0 0
4 4 0 0 0 0

Note this is a particularly difficult problem on the public eval dataset. But still the model does not take the feedback regarding diagonals at all into consideration.

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