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I gave #6 to Sonnet 3.5

Based on the analysis, the pattern can be summarized as follows:

  1. Examine each column in the 7x3 input grid.
  2. Count the number of blue squares in each column:
  • If a column has exactly 2 blue squares, place a red square in the corresponding column of the 3x3 output grid.
  • The vertical position of the red square in the output matches the position of the topmost blue square in that input column.
  1. Ignore columns with 1 or 3 blue squares (they don’t produce any output).

This pattern transforms the 7x3 input grid into the 3x3 output grid for all given examples.

And then gpto

Pattern Rule:

  1. Mapping Regions: The 7x3 input grid can be divided into regions that map to the 3x3 output grid.
  2. Red Cell Criteria: A cell in the 3x3 output grid becomes red if the corresponding region in the input grid contains a majority of blue cells surrounding non-blue (gray or black) cells.