RULES : Classic Sudoku rules apply. Additionally,
1) Liar Sudoku rules apply; The digit in the grid is liar. The true value is either one more or one less than the given clue.
2) Liar XV Pairs Sudoku rules apply; The given Xs and Vs are all liars, i.e. horizontally or vertically adjacent cells separated by an X add up to either one more or one less than 10, i.e. either 11 or 9. Horizontally or vertically adjacent cells separated by a V add up to either one more or one less than 5, i.e. either 6 or 4. Not all Xs and Vs are marked.
3) Liar X Sums Sudoku rules apply; The outside clues on the top and bottom are Liar X Sums clues. Usually, the clues outside the grid indicate the sum of the first X digits placed in the corresponding direction, where X is equal to the first digit placed in that direction. Here, the outside clues on the top and bottom of the grid are liars. The true value is either one more or one less than the given clue.
4) Liar Sum Frame Sudoku rules apply; The outside clues on the left and right are Liar Sum Frame clues. Usually, the clues outside the grid represent the sum of the first three digits in the corresponding row or column. Here, the outside clues on the left and right of the grid are liars. The true value is either one more or one less than the given clue.
