- Details
GOAL
This technic lets you eliminate one candidate.
Condition
If a cell has n candidates and n neighboring cells pertaining to an another and same region and the neighboring cells have the same candidates than the original cell. If only one another cell (the resulting cell) exists in this region that is not a neighbourg of the original cell and this cell has all the candidates of the original cell plus an extra candidate. Then we could eliminate this extra candidate in this resulting cell..
Result
The neighboring cells of the original cell, have all the candidates of the original cell. So its means that if the original cell elects one of its candidates then the neighboring cells will eliminate this candidate and the resulting cell will have this candidate because this is the only other cell having the candidate in the region. At the end this resulting cell will have only the candidate of the original cell. So we could eliminate all the other caniddates in the resulting cell.
Why
This is why I call this technic opposition because ultimely the candidate elected inf the original cell will be in the resulting cell..
EXAMPLE
From the Suguru at the figure 3.1 with the basic technics we arrive at this situation (fig 3.2).
To be able to progress you need to apply the opposition. The original cell c3 has two candidates: 1 and 3 and also two neighboring cells C2 and B4. These two neighboring cells have together the same candidates that the original cell ( 1 and 3 and even one more 4, but we don't care). In this same region it have only one other cell C1 having the same candidates than the original cell (1,3) and also an extra candidate 2. It is very important to notice that this cell is the only other cell with the neighboring cell C2 and B4 that have the canidates of the original cell. So based on the rule we could eliminate the extra candidate 2 from C1.
Why
If the original cell C3 finaly has a 3 then C1 and B4 will eliminate this candidate and C1 will have a 3. And if C3 has 1 then C2 will eliminate the candidate 1 and C1 will have the 1. So in any case C1 will never have the 2. This is why we could eliminate it. The cells C3 and C1 are in opposition.
With that you could find the solution (fig 3.3).
You could try by yourself with this puzzle Suguru Opposition.pdf.
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GOAL
This technic let you eliminate one candidate.
CONDITION
If a cell has n candidates and n neighboring cells pertaining to an another and same region (the region) and the neigboring cells have the same candidates than the original cell plus an another candidate. This another candidat must also appear only once in an aother cell (the another cell) of the region.
RESULT
Then we can exclude this other candidate in this other cell. Because the extra candidate must appear in the neighboring cells else it will create an illegal situation.
WHY
The extra candidate must appear in the neighboring cells else it will create an illegal situation because the original cell with n candidats will have n neighbourgs with the same candidats.
EXAMPLE
From the Suguru at the figure 2.1 with the basic technics we arrive at this situation (fig 2.2).
To be able to progress you need to apply the exclusion. The original cell B3 has two candidates: 3 and 4 and also two neighboring cells C3 and C4. These two neighboring cells have together the same candidates than the original cell ( 3 and 4) plus the candidate 2 twice (this is the difference with the technic of the Election, where the extra candidates must be unique in the neighboring cells). And this candidate 2 appears only once in this region (other than the neighboring cells) in C6. So we could eliminate the candidate 2 in C6.
Why
If the cell C6 has 2 then C3 and C4 will have candidates 3 and 4. It will result that B3 will be empty. Note we could also apply this technic with the original cell B5 and its neighboring cells C4 and C6 to eliminate the 4 in C3.
With that you could find the solution (fig 2.3).
You could try by yourself with this puzzle Suguru exclusion.pdf.
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