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Renban lines: Digits along a purple line are consecutive, but can be written in any order.

Thermometer: Digits along a thermometer increase from the bulb.

Killer cage: The sum of the digits in the cage is equal to the value in the upper left-hand corner.

Quads: The digits in the circled quads must appear at least once in the surrounding 4 squares.

Maximal square: The center square (with > signs) is greater than all of the adjacent 4 squares.

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