Difference between revisions of "XY-Cycle"
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The XY-Cycle does not need to have an even number of cells, as long as the last cell can see the first and shares a candidate with it. | The XY-Cycle does not need to have an even number of cells, as long as the last cell can see the first and shares a candidate with it. | ||
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Latest revision as of 14:23, 30 October 2021
An XY-Cycle or XY-Ring is a Continuous Nice Loop limited to cells with only 2 candidates each. These do not need to be candidates for the same 2 digits as in Remote Pairs, but 2 adjacent cells in the loop must share one of the candidates for the loop to be correct.
The cycles are similar to XY-Chains.
rncx(a,b) - rncy(b,c) - rmcy(c,d) - rmcx(d,a) - rncx
In Nice Loop notation, this would be:
-[rncx]-b-[rncy]-c-[rmcy]-d-[rmcx]-a
This XY-Cycle eliminates the following candidates:
- All other candidates for digit b in row n
- All other candidates for digit c in column y
- All other candidates for digit d in row m
- All other candidates for digit a in column x
The XY-Cycle does not need to have an even number of cells, as long as the last cell can see the first and shares a candidate with it.
