Normal sudoku rules apply. Digits in thick bordered squares must be equal to the square root of the 2-digit number read from top to bottom in the corresponding cage. All squares must contain a different digit. Every square root sign also represents a different constraint. Parity line (red): Adjacent digits along the red line must alternate in parity (odd/even). Entropic line (orange): A set of three sequential cells along the orange line must contain a low [123], middle [456], and high [789] digit. German Whisper line (green): Adjacent digits along the green line must differ by at least 5. Renban (purple): Digits along the purple line are a set of consecutive, non-repeating digits in any order. Region Sum line (blue): Along a blue line, each line segment within a different 3x3 box must sum to the same total. Thermometer (grey): Digits along the thermometer must increase from the bulb to the tip (which are always at the ends of the line); which end is the bulb and which the tip must be deduced.