Life is full of contrasts, and so is this puzzle. The pink lines pull things together, while the global entropy rule pushes things apart. Push, pull, pushmi-pullyu, back and forth and then things fall apart.

Or fall into place, and the puzzle is solved!

Rules:
Normal Sudoku rules apply.
Renban: Digits on each hollow pink line form a non-repeating set of consecutive digits in any order.
Global Entropy: Every 2x2 area contains at least one low digit (123), one medium digit (456), and one high digit (789).

Estimated difficulty: 2.5 out of 5

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Global Entropy rules affect every 2x2 groups of cells. Quadruples affect some 2x2 groups of cells. What happens in those 2x2 groups of cells in which Quadruples are pushing one way while entropy pushes in another? That’s the question posed by this puzzle.

Rules:
Normal Sudoku rules apply.
Digits within circles appear at least once in cells touching the circle.
Every 2x2 area contains at least one low digit (123), one medium digit (456), and one high digit (789).

Estimated difficulty: 2.5 out of 5

Solve on SudokuPad