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Tips for Mine Sweeping Race
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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:

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