GridWits
Hard tier Technique 8 of 21 Smart Hint: Skyscrapers and Skyscrapers+

Line Consistency Sparse (5+ Blanks)

The same line-ordering check on a line that is still mostly blank — little to anchor it, so nearly every arrangement the clue allows has to be weighed. Same idea as Line Consistency, a good deal more work.

How it works

  1. 1The 4 on the left says four of these five buildings show from that side — so exactly one of them is hidden behind a taller one.
  2. 2Nothing is placed along the row, so all five cells are still in play. That blank count is what makes this the dear end of the same check: ten orderings match the clue, and every one of them has to be weighed.
  3. 3The cheaper clue rung has already taken the 5 out of the first three cells, and it has nothing more to say. Reading the clue on its own stops here.
  4. 4Now weigh the orderings. A 3 in the first cell hides both the 1 and the 2 — two hidden, one too many — and a 4 there hides three. The opener can only be a 1 or a 2, and by the same count the second cell tops out at 3.
  5. 5Strike the 3 and the 4 from the first cell and the 4 from the second: no ordering the clue allows ever uses them there.
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4 5 1 2 3 4 5 4
  • Height ruled out
Next in the ladder Hidden Pair →

Two heights only fit in the same two cells of a row or column — strip those cells down to just those two.