GridWits

Dead End

Hard Used by Smart Hint

A line can never just stop — every dot touches zero or two line segments. Draw a candidate edge and follow where the line is forced to go: if it gets driven into a dot whose other edges are all crossed off, it dies in a dead end, so the candidate edge is ruled out.

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How it works

  1. Could the highlighted edge be part of the loop? Suppose it is, and follow only the two rules every beginner already uses: a dot touches zero or two lines (never one, never three), and a clue with its count complete crosses off its remaining sides.
  2. Each step is forced — the line has exactly one way to continue, so it gets pushed along the highlighted path, one edge at a time.
  3. A few steps in, the line is driven into a dot whose every other edge is already crossed off. It has nowhere to go — and a line can never just stop.
  4. A dead end means the supposition was wrong from the first stroke: cross off the highlighted edge. If you can spot the trapped pocket ahead of time, you don't even need to draw anything — the edge that leads into it can't be a line.