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struct Match {
   row_ids [ ]
   columns [ ]
}

matches = [ ]
For block in blocks:
   matching_columns = [block.column]
    for other_block in blocks:
        if block is not in same column && block id list is the same:
            matching_columns.append(other_block.column)
    matches.append( {block.ids, sorted( matching_columns ) } )
    // Potentially just print this?

unique( matches )

-----------

struct merged_block {
    row_ids [ ] // variable size > max = columns * 3
    columns [] // variable size > max = columns
}

merged_blocks = []

for match in matches:
    merged_block = {
        ids: match.ids
        columns: match.columns
    }
    for other_match in matches:
        if SOME(match.ids are different) && some(match.ids are the same) && match.columns are the same)
            merged_block.ids.append( ids from other_match )
    merged_block.ids = sorted( merged_block.ids)
    merged_blocks.append(merged_block)
    // Potentially just print this

unique( merged_blocks )