The guide contains large spoilers. Read at your own risk.
Puzzle 59 Solution
On the 1,2,2,1,2 row, for the square you’re filled in, the square just left of it (on the 2,1,2,1 column) can be marked with X. That’s because if that was filled as if it was treated as the middle 2 (of the row), the 1,2 would not fit to the right.
And if it was treated as the last/right 2 of the row, the 1,2,2,1 would not fit on the left. It’s possible though the square just right of it could still be filled in, so don’t fill/mark that with X yet until you have enough info to do so.
Additionally, for the two squares you’ve filled in on the middle 5,1 rows (on the 14 column), you can mark both squares just to the right (on the 1,1,1 column) with an X. That’s because connecting both filled in squares in either 5,1 row (both the 14 with the 9,1 columns) equals 5, so said 5 cannot possibly go any further to the right.
The right-filled numbers (on the 14 column) could possibly be a 1 as well, so if that’s the case, there would be no more filled squares past that point.
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