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One clue per patch

Every patch holds exactly one clue — which makes other clues into fences.

The rule of thumb: A patch can never swallow a second clue, so neighboring clues fence each other in.

It sounds too simple to be a technique, but it does more of the work than it looks. A clue’s patch must stop before it reaches the next clue, so when you list the ways a clue could go, every rectangle that would contain a second clue is out — however well it fits the badge and the number.

These practice boards each open with a clue that looks spoiled for choice: three or more rectangles fit its badge and number, until you throw out the ones that would swallow a neighboring clue. Then one fit remains. On busy boards, late in a solve, this fence is often the only reasoning you need.

Where to look: Clues with neighbors close by. For each shape the clue allows, ask not just “does it fit?” but “whose clue would it eat?”

Worked example

A real position from a board built around One clue per patch. Purple: what the reasoning rests on. Dashed: the patch in question. Green: what it proves.

The clue at row 4, column 1 (purple) seems to have 4 fits. But every fit but one would swallow another clue — the ringed ones at row 2, column 1; row 6, column 2 fence it in.
Throw out every rectangle that holds a second clue and exactly one fit is left. One clue per patch did all the work.

Practice it ↓

Practice

Three boards, each with a moment built around One clue per patch.

One clue per patch · practice 1 of 30/8 patches

Finish Corners are decided to unlock this practice.

Go to Corners are decided

Drag from cell to cell to draw a patch around a clue. Tap a patch to remove it. Keys: arrows move, Enter starts and places a patch, Delete removes one.

All steps · ← Corners are decided · Mind the leftovers → · Play Rectopia →