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Sudoku #5307 · Hard

Laying out the puzzle…

At a glance

Givens
27
Cells to fill
54
Logical steps
55
Hardest move
Pointing pair

Notes on this puzzle

27 digits are printed in this grid and the other 54 cells are yours to fill. A solver that never guesses gets through it in 55 steps.

Most cells fall to the hidden single move: 52 of the 55 steps. Single candidate accounts for 2 more. The toughest moment needs pointing pair, and that single step is what sets the level.

Among the givens, 3 is the most common digit (4 times) and 9 the rarest (1). The emptiest box is the top-left one, with 1 given; the top-right box is the most crowded, with 4.

Where to beginLook at row 5, column 2 first: a hidden single is available there from the very start. Pencil in candidates for one box at a time and watch for two cells that share the same pair.