How Many Latin Squares Are There? Counting Puzzle Grids
Latin squares go from 12 of order 3 to a 37-digit count at order 10. How the counts were found, how larger ones are estimated, and how grid loops are counted.
Riddle10 blog
Latin squares go from 12 of order 3 to a 37-digit count at order 10. How the counts were found, how larger ones are estimated, and how grid loops are counted.
Fill a square so every row and column adds to the same total. The one-gap rule, the centre rule, a worked four by four puzzle and a practice grid.
Turn left, right and next-to clues into tiles on a strip of houses, test the few places each can sit, and finish with one row. Worked example and practice.
Start with single cells and one-pair cages, list digit sets for sums and products, then use rows and columns. A worked grid and a practice puzzle.
Use each sign to strike out digits, follow chains and valleys, and finish with row and column scans. A full worked grid and a practice puzzle.
Fill each row and column with every symbol once. Learn the only-candidate and only-place moves, a full worked grid and a practice puzzle.