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Do the Others ever reach King's Landing? (According to A Song of Ice and Fire – the books, not the show)

G.R.R. Martin's epic series "A Song of Ice and Fire" has served as the basis for the hit HBO series "Game of Thrones." The two treatments are similar but differ in detail, and Martin has struggled to complete books prior to the parallel events in the series.

As of early 2018, there is apparently one more season of the show, and likely two more book volumes in the works. This question concerns the book series. In it, the Others (or white walkers as they are known in the show) are a mysterious race living north of The Wall in Westeros. For now.

By the end of the book series, will the Others reach King's Landing?

For positive resolution, at least one White Walker and at least 100 undead must be within sighting distance of King's Landing. (Scouting via an undead Dragon does not count.)


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