Normal sudoku rules apply. The grid is covered with fog. Placing correct digits will reveal the fog around that digit. Guessing is not required! A digit in a red circle indicates exactly how many red circles contain that digit. Additionally, a digit in a red circle must reappear at least once in its 8 surrounding cells. The two given circles contain the same digit. Digits along a purple arrow sum to the value in the attached circle. Red circles may or may not have arrows attached. Arrows do not share cells and do not cross.