Normal sudoku rules apply. 𝗗𝘆𝗻𝗮𝗺𝗶𝗰 𝗙𝗼𝗴 hides some clues. Placing a correct digit clears fog from its cell and possibly other cells. For each clue type listed below, there are three clues of that type in the grid which don't share cells. Two of them are correct, and one is incorrect ('lying'). For each clue type, all cells clued by that type (incl. the liar) contain different digits. 𝗖𝗹𝘂𝗲 𝗧𝘆𝗽𝗲𝘀: 1) 𝗖𝗮𝗴𝗲𝘀: Digits in a cage sum to the total in the top-left. 2) 𝗩: Each V joins two digits that sum to 5. 3) 𝗗𝗼𝘂𝗯𝗹𝗲 𝗔𝗿𝗿𝗼𝘄𝘀 (DA): If two circles in different cells are connected by a line, the sum in the circles is equal to the sum of the remaining (0+ cell) line. 4) 𝗔𝗿𝗿𝗼𝘄𝘀 (A): Digits along an arrow sum to the digit in the attached circle. 5) 𝗥𝗲𝗻𝗯𝗮𝗻 (R): Digits on a hollow line form a single consecutive sequence (like 234) in any order. 6) If two digits are joined by a black dot then one is double the other.