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BUG+1 in sudoku

Hard · rating cost 100 · Uniqueness · also called Bivalue Universal Grave + 1, BUG + 1, BUG

All unsolved cells are bivalue cells except one with three candidates, and every candidate in a unit appears exactly twice, except X, three times in each of that cell's units.

Why it works

Without X in that cell, the grid would be all bivalue cells with every candidate twice per unit, so any solution would have a twin using each cell's other candidate. Assuming the puzzle has exactly one solution, X is placed in that cell.

How to spot it

When all unsolved cells but one are bivalue cells, find the cell with three candidates: the one appearing three times in its row is X.

Worked example

BUG+1 example on a sudoku board. BUG+1: removing 3 from r5c6 would leave a bivalue grid with two solutions, so r5c6 must be 3.
place the one cell with three candidates; 3 is the extra its row, column and box, each holding 3 three times

BUG+1: removing 3 from r5c6 would leave a bivalue grid with two solutions, so r5c6 must be 3.

Step 43 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 BUG+1 and takes you straight to the position where it applies. Hints draw the pattern on the board and explain the step.

Practice BUG+1Open in the app's guide

In a puzzle's rating

Each time the solver needs BUG+1, the puzzle's difficulty rating grows by 100. Its class is Hard. It is needed in 1 in 59 puzzles that sudokUI generates. How the rating works.

More uniqueness

Unique Rectangle Type 1 · Unique Rectangle Type 2 · Unique Rectangle Type 3 · Unique Rectangle Type 4 · Unique Rectangle Type 5 · Unique Rectangle Type 6 · Hidden Rectangle · Avoidable Rectangle Type 1 · Avoidable Rectangle Type 2 · Extended Rectangle

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