Sudoku
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Hard Sudoku Puzzles

Hard Sudoku is where the board starts to look empty. Every Hard puzzle here begins with exactly 30 givens, which leaves 51 cells to fill. The logic itself stays honest: most Hard boards can be completed with single-candidate scanning and hidden singles alone, and none of them needs a guess. What changes is the length of the chain. With so few givens, each deduction is harder to see and there are more of them to make.

What makes hard Sudoku hard

On an Easy board you can often place a digit within seconds of looking. On a Hard board the first few moves may take real searching, because rows and boxes with only two or three givens constrain very little. Early placements are precious: each one narrows twenty other cells, and the puzzle accelerates as it fills. Expect a slow start, a long middle and a fast finish.

Hard Sudoku strategies

  1. Count the digits. Note which digits appear four or five times already; those are the ones most likely to have a forced placement somewhere.
  2. Cross-hatch those digits first. Sweep each one through all nine boxes, looking for a box where only one cell remains open.
  3. Turn on notes once the easy placements dry up. Fill candidates for the emptiest boxes first. A cell with a single note is a naked single; a digit noted in only one cell of a unit is a hidden single.
  4. Watch for locked candidates. If a digit's notes inside a box all sit on one row, the digit cannot appear elsewhere on that row. This is occasionally the move that unlocks a Hard board.
  5. Re-scan after every placement. The move you just made almost always creates another single nearby.

Hard Sudoku tips when you are stuck

Switch the question: if you have been asking what fits in a cell, ask where a digit can go, and sweep it through all nine boxes. Highlight a digit by tapping one of its copies and count how many are placed; digits with seven or eight copies have forced homes. Re-scan the row, column and box of your last placement before anything else. More in the Sudoku tips for when you are stuck.

You have three hints per puzzle and three mistakes. A hint on a Hard board is most valuable early, when a single placement can open a whole region; it is wasted at the end, when everything is falling into place anyway. Mistakes are detected immediately and must be fixed before you continue, so a slip costs a life but never poisons the rest of the grid.

Where to go next

Expert Sudoku keeps roughly the same number of givens but is built so that hidden singles are unavoidable and locked candidates start to appear. If Hard feels like too big a jump, Medium Sudoku is a good place to practise the same techniques with more support on the board.

Frequently asked questions

How many givens does a Hard Sudoku have?

Exactly 30, leaving 51 empty cells. The difficulty comes from the length of the deduction chain rather than from exotic techniques.

Do Hard puzzles require guessing?

No. Every Hard board is verified to have a single solution and to be solvable by singles, with an occasional locked-candidate step. If you feel stuck, there is always a hidden single somewhere on the grid.

Are notes necessary on Hard?

Strongly recommended. The first third of a Hard board can be done by scanning, but notes make the middle game far faster and protect you from mistakes.

How long should a Hard Sudoku take?

There is no reliable average to quote; it depends mostly on practice. Hard has 51 empty cells, more than Medium, but rarely needs more than singles, so the difference is length rather than a harder kind of logic. Statistics keeps your own best and average time for each level.