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Loop hints — Tuesday, July 14, 2026

Difficulty: gentler than usual

Draw one closed loop that satisfies every numbered clue. Reveal as little or as much as you need — each step below gives away a bit more, and the answers stay hidden until you open them. No full solutions, ever: the last step is one concrete opening, generated from the same seed as everyone's puzzle.

Easy (5×5) — gentler than usual

Step 1 · A gentle nudge

This grid has 7 zero-clues and 3 threes. A 0 switches every edge around it off; a 3 uses three of its four — the extreme clues do the most work, so start your scan there.

Step 2 · A technique to look for

Somewhere on this board a 0 sits directly beside a 3 — the classic Loop opening. The 0 turns all four of its edges off, which immediately forces three edges of the neighbouring 3.

Step 3 · The concrete opening (spoiler)

Mark the 0 at row 2, column 3 first — all four of its edges are off. That forces the 3 at row 2, column 4 to use its three remaining edges: seven edges decided before your first guess.

Medium (6×6) — one of the spiciest in weeks

Step 1 · A gentle nudge

This grid has 6 zero-clues and 4 threes. A 0 switches every edge around it off; a 3 uses three of its four — the extreme clues do the most work, so start your scan there.

Step 2 · A technique to look for

Work from the zeros: every edge around a 0 is off, and each edge you rule out tightens the clues beside it.

Step 3 · The concrete opening (spoiler)

The 0 at row 1, column 6 clears four edges at once — start there and follow the ruled-out edges outward.

Hard (8×8) — a typical day

Step 1 · A gentle nudge

This grid has 23 zero-clues and 7 threes. A 0 switches every edge around it off; a 3 uses three of its four — the extreme clues do the most work, so start your scan there.

Step 2 · A technique to look for

Work from the zeros: every edge around a 0 is off, and each edge you rule out tightens the clues beside it.

Step 3 · The concrete opening (spoiler)

The 0 at row 2, column 4 clears four edges at once — start there and follow the ruled-out edges outward.

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