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Chute Remote Pair in sudoku

Hard · rating cost 110 · Chains and Loops · also called Chute Remote Pairs, CRP

Two bivalue cells, both X and Y, in one chute (three aligned boxes), not seeing each other, where the three chute cells seeing neither hold no X, solved or candidate.

Why it works

The box holding those three cells must have its X in the row or column of one pair cell, which makes that cell Y. Y is removed from every cell seeing both pair cells, and X too if the three cells also hold no Y.

How to spot it

Scan each chute for two identical bivalue cells sharing no unit, then test the three chute cells seeing neither for X and Y in turn.

Worked example

Chute Remote Pair example on a sudoku board. Chute Remote Pair: r4c6 and r5c8 both hold 56 in one chute; 6 appears nowhere in r6c1, r6c2, r6c3, so the chute's third box must place its 6 in a row shared with a pair cell, forcing that cell to 5. One pair cell is therefore 5, so 5 can be removed from cells seeing both pair cells. So 5 is removed from r4c9, r5c6.
remove the pair: 56 in both cells, one chute apart

Chute Remote Pair: r4c6 and r5c8 both hold 56 in one chute; 6 appears nowhere in r6c1, r6c2, r6c3, so the chute's third box must place its 6 in a row shared with a pair cell, forcing that cell to 5. One pair cell is therefore 5, so 5 can be removed from cells seeing both pair cells. So 5 is removed from r4c9, r5c6.

Step 44 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 Chute Remote Pair and takes you straight to the position where it applies. Hints draw the pattern on the board and explain the step.

Practice Chute Remote PairOpen in the app's guide

In a puzzle's rating

Each time the solver needs Chute Remote Pair, the puzzle's difficulty rating grows by 110. Its class is Hard. It is needed in 1 in 12 puzzles that sudokUI generates. How the rating works.

More chains and loops

Remote Pair · X-Chain · X-Cycles (loops) · Grouped X-Cycles · XY-Chain · Twinned XY-Chains · Nice Loop · Grouped Nice Loop · Alternating Inference Chain · AIC with Groups · AIC with ALSs

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