Tips for Mine Sweeping Race
Advanced Skills
The advanced skill involves some logical thinking, for example:

Look at the 2 alone, there are three cases:



But the 1 tells us that the third case is impossible, hence we have only two cases left:


For both of these cases, the left most block has a mine, therefore we can be sure the first block has a mine:

Another way of thinking is that if the first block does not have a mine, then the remaining two blocks must have mines, which is impossible because it will violate the 1, and so we can conclude that the left most block must have a mine.
Continuing, the 2 tells us that the circled blocks have one and only one mine in them:

So the mine corresponding to the 1 must be one of the two circled blocks, and so the remaining block must be safe:


Look at the 2 alone, there are three cases:



But the 1 tells us that the third case is impossible, hence we have only two cases left:


For both of these cases, the left most block has a mine, therefore we can be sure the first block has a mine:

Another way of thinking is that if the first block does not have a mine, then the remaining two blocks must have mines, which is impossible because it will violate the 1, and so we can conclude that the left most block must have a mine.
Continuing, the 2 tells us that the circled blocks have one and only one mine in them:

So the mine corresponding to the 1 must be one of the two circled blocks, and so the remaining block must be safe:

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