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Swordfish in sudoku

3-fish · Naked Triple seen sideways · how it fits

Hard · rating cost 150 · Basic Fish

Digit X has two or three candidates in each of three rows, all lying in the same three columns, or likewise with rows and columns swapped.

Why it works

Each of the three rows places X in a different one of the three columns, so all three columns get their X from these rows. Remove X from all other cells in those columns, or in those rows for the swapped form.

How to spot it

Filter on one digit and find three rows whose candidates together span only three columns: a row may use just two of them.

Worked example

Swordfish example on a sudoku board. Swordfish on 9: in columns 1, 4, 8, 9 can only go in rows 3, 4, 5 (r3c1, r5c1, r4c4, r5c4, r3c8, r4c8). Those 3 columns will use up 9 in those 3 rows, so 9 can go nowhere else in them. So 9 is removed from r5c2.
remove base columns: the 9s of the fish, 3 columns with 9 only in the cover rows cover rows: 3 of them take the base's 9s, so 9 goes nowhere else in them

Swordfish on 9: in columns 1, 4, 8, 9 can only go in rows 3, 4, 5 (r3c1, r5c1, r4c4, r5c4, r3c8, r4c8). Those 3 columns will use up 9 in those 3 rows, so 9 can go nowhere else in them. So 9 is removed from r5c2.

Step 36 of this puzzle's solution, found and verified by the sudokUI engine. Cells are named by row and column: r2c3 is row 2, column 3. Play this puzzle from the start.

Practise it on a real puzzle. sudokUI generates a puzzle that needs Swordfish and takes you straight to the position where it applies. Hints draw the pattern on the board and explain the step.

Practice SwordfishOpen in the app's guide

In a puzzle's rating

Each time the solver needs Swordfish, the puzzle's difficulty rating grows by 150. Its class is Hard. It is needed in 1 in 81 puzzles that sudokUI generates. How the rating works.

More basic fish

X-Wing · Jellyfish · Squirmbag · Whale · Leviathan

← X-WingJellyfish →