Here’s a heavily rewritten version of your content while keeping the HTML tags intact:
“`html
Discover the challenge of Binairo puzzles, available in four dimensions: 6×6, 8×8, 10×10, and 12×12. Your task is to fill each grid cell with either a 0 or a 1, adhering to these essential guidelines:
- Adjacent cells may not contain more than two identical numbers side by side or stacked vertically.
- Each row and column must maintain an equal number of zeroes and ones.
- The arrangement of zeroes and ones in each row must be distinct, as must be the arrangement in each column.
“`



