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The Solving Bible
Master every technique from naked singles to unique rectangles.
Beginner
Naked Single
A cell with only one possible candidate.
Hidden Single
A candidate that appears in only one cell within a unit.
Easy
Naked Pair
Two cells in a unit with the same two candidates.
Naked Triple
Three cells in a unit whose combined candidates contain exactly three values.
Medium
Hidden Pair
Two values that appear as candidates in only two cells of a unit.
Hidden Triple
Three values confined to exactly three cells in a unit.
Pointing Pairs
A candidate in a box restricted to a single row or column.
Box/Line Reduction
A candidate in a row or column restricted to a single box.
Naked Quad
Four cells in a unit whose combined candidates contain exactly four values.
Hidden Quad
Four values confined to exactly four cells in a unit.
Hard
X-Wing
A candidate confined to two columns in exactly two rows, forming a rectangle.
Swordfish
A candidate confined to three columns across exactly three rows.
XY-Wing
A pivot cell with two wings that share eliminating candidates.
Simple Coloring
Alternating chains of conjugate pairs reveal contradictions.
Expert
Jellyfish
A candidate confined to four columns across exactly four rows.
Unique Rectangle
Exploiting the uniqueness constraint to eliminate candidates from a rectangle pattern.