Advanced Skills
The advanced skills involve some logical thinking, for example:

Looking at the number 2 alone, there are three cases:



But the number 1 shows that the third case is impossible, and therefore there are two cases left:


For both cases, the leftmost tile contains a mine, and therefore you can be sure that the first tile contains a mine:

Another way of thinking is that if the first tile does not contain a mine, then the remaining two tiles must contain mines. But this is impossible as the number 1 will be violated. Therefore you can conclude that the leftmost block must contain a mine.
Moving on, the number 2 shows that the circled tiles contain only one mine:

So the mine corresponding to the number 1 must be one of the two circled tiles, and so the remaining tile must be safe:


Looking at the number 2 alone, there are three cases:



But the number 1 shows that the third case is impossible, and therefore there are two cases left:


For both cases, the leftmost tile contains a mine, and therefore you can be sure that the first tile contains a mine:

Another way of thinking is that if the first tile does not contain a mine, then the remaining two tiles must contain mines. But this is impossible as the number 1 will be violated. Therefore you can conclude that the leftmost block must contain a mine.
Moving on, the number 2 shows that the circled tiles contain only one mine:

So the mine corresponding to the number 1 must be one of the two circled tiles, and so the remaining tile must be safe:

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